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All questions of Percentages for Civil Engineering (CE) Exam
Weight of A and B are in the ratio of 3:5. If the weight of A is increased by 20 percent and then the total weight becomes 132 kg with an increase of 10 percent. B weight is increased by what percent.- a)2%
- b)3%
- c)4%
- d)5%
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Weight of A and B are in the ratio of 3:5. If the weight of A is increased by 20 percent and then the total weight becomes 132 kg with an increase of 10 percent. B weight is increased by what percent.
a)
2%
b)
3%
c)
4%
d)
5%
e)
None of these
|
Target Study Academy answered |
Answer – 3. 4% Explanation : Weight of A and B are 3x and 5x.
Initial weight before increase = (132*100)/110 = 120 8x = 120. X = 15 Initial weight of A and B are 45 and 75 kg respectively.
New weight of A = 54 so weight of B = 132 – 54 = 78.
So % increase = [(78-75)/75]*100 = 4 %
Initial weight before increase = (132*100)/110 = 120 8x = 120. X = 15 Initial weight of A and B are 45 and 75 kg respectively.
New weight of A = 54 so weight of B = 132 – 54 = 78.
So % increase = [(78-75)/75]*100 = 4 %
A vendor sells 50 percent of apples he had and throws away 20 percent of the remainder. Next day he sells 60 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
- a)20%
- b)22%
- c)24%
- d)26%
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
A vendor sells 50 percent of apples he had and throws away 20 percent of the remainder. Next day he sells 60 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?
a)
20%
b)
22%
c)
24%
d)
26%
e)
None of these
|
Machine Experts answered |
Let the total number of apples the vendor initially had be 100 (for simplicity).
On the first day:
The vendor sells 50% of the apples:
Apples sold on day 1 = 50% of 100 = 50
The remaining apples after selling 50% are:
Remaining apples = 100 − 50 = 50
He then throws away 20% of the remaining apples:
Apples thrown away on day 1 = 20% of 50 = 10
The remaining apples after throwing away 20% are:
Remaining apples after day 1 = 50 − 10 = 40
On the second day:
The vendor sells 60% of the remaining apples:
Apples sold on day 2 = 60% of 40 = 24
The remaining apples after selling 60% are:
Remaining apples after selling on day 2 = 40 − 24 = 16
He throws away the rest, which is 16 apples.
Total apples thrown away:
Apples thrown away on day 1 = 10
Apples thrown away on day 2 = 16
Total apples thrown away = 10 + 16 = 26
Percentage of apples thrown away:
Thus, the vendor throws away 26% of his apples.
On the first day:
The vendor sells 50% of the apples:
Apples sold on day 1 = 50% of 100 = 50
The remaining apples after selling 50% are:
Remaining apples = 100 − 50 = 50
He then throws away 20% of the remaining apples:
Apples thrown away on day 1 = 20% of 50 = 10
The remaining apples after throwing away 20% are:
Remaining apples after day 1 = 50 − 10 = 40
On the second day:
The vendor sells 60% of the remaining apples:
Apples sold on day 2 = 60% of 40 = 24
The remaining apples after selling 60% are:
Remaining apples after selling on day 2 = 40 − 24 = 16
He throws away the rest, which is 16 apples.
Total apples thrown away:
Apples thrown away on day 1 = 10
Apples thrown away on day 2 = 16
Total apples thrown away = 10 + 16 = 26
Percentage of apples thrown away:
Thus, the vendor throws away 26% of his apples.
In a library, 30% of the books are in History. 50% of the remaining are in English and 40% of the remaining are in German. The remaining 4200 books are in regional languages. What is the total number of books in library?- a)10000
- b)15000
- c)20000
- d)25000
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
In a library, 30% of the books are in History. 50% of the remaining are in English and 40% of the remaining are in German. The remaining 4200 books are in regional languages. What is the total number of books in library?
a)
10000
b)
15000
c)
20000
d)
25000
e)
None of these
|
|
Machine Experts answered |
Let the total number of books in the library be T.
30% of the books are in History:
History books = 30% of T = 0.30 × T
The remaining books after accounting for History are:
Remaining books = T − 0.30 × T = 0.70 × T
50% of the remaining books are in English:
English books = 50% of the remaining = 0.50 × 0.70 × T = 0.35 × T
After accounting for English books, the remaining books are:
Remaining books after English = 0.70T − 0.35T = 0.35T
40% of the remaining books are in German:
German books = 40% of the remaining = 0.40 × 0.35 × T = 0.14 × T
After accounting for German books, the remaining books are:
Remaining books after German = 0.35T − 0.14T = 0.21T
The remaining 4200 books are in regional languages, so:
0.21 × T = 4200
Solving for T:
T = 4200/0.21 = 20000
Thus, the total number of books in the library is 20,000.
30% of the books are in History:
History books = 30% of T = 0.30 × T
The remaining books after accounting for History are:
Remaining books = T − 0.30 × T = 0.70 × T
50% of the remaining books are in English:
English books = 50% of the remaining = 0.50 × 0.70 × T = 0.35 × T
After accounting for English books, the remaining books are:
Remaining books after English = 0.70T − 0.35T = 0.35T
40% of the remaining books are in German:
German books = 40% of the remaining = 0.40 × 0.35 × T = 0.14 × T
After accounting for German books, the remaining books are:
Remaining books after German = 0.35T − 0.14T = 0.21T
The remaining 4200 books are in regional languages, so:
0.21 × T = 4200
Solving for T:
T = 4200/0.21 = 20000
Thus, the total number of books in the library is 20,000.
1000 sweets need to be distributed equally among the school students in such a way that each student gets sweet equal to 10% of total students. Then the number of sweets, each student gets.- a)10
- b)12
- c)14
- d)16
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
1000 sweets need to be distributed equally among the school students in such a way that each student gets sweet equal to 10% of total students. Then the number of sweets, each student gets.
a)
10
b)
12
c)
14
d)
16
e)
None of these
|
Rajeev Kumar answered |
Answer – a) 10 Explanation : No of students = T. Each student gets 10% of T. So, T students get T^2/10 sweets.
T^2/10 = 1000. We get T =10
T^2/10 = 1000. We get T =10
A number is first decreased by 25%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Then the original number is –
- a)100
- b)200
- c)300
- d)400
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
A number is first decreased by 25%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Then the original number is –
a)
100
b)
200
c)
300
d)
400
e)
None of these
|
Cstoppers Instructors answered |
Let the number is a a – (75/100)*a*(120/100) = 40 we will get a = 400
When the price of rice is increased by 25 percent, a family reduces its consumption such that the expenditure is only 10 percent more than before. If 40 kg of rice is consumed by family before, then find the new consumption of family.- a)34.2
- b)35.2
- c)36.2
- d)37.2
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
When the price of rice is increased by 25 percent, a family reduces its consumption such that the expenditure is only 10 percent more than before. If 40 kg of rice is consumed by family before, then find the new consumption of family.
a)
34.2
b)
35.2
c)
36.2
d)
37.2
e)
None of these
|
|
Rhea Reddy answered |
Answer – 2.35.2 Explanation : Suppose initially price per kg of rice is 100 then their expenditure is 4000.
Now their expenditure is only increased by only 10% i.e – 4400.
Increased price of rice = 125.
So new consumption = 4400/125 = 35.2
Now their expenditure is only increased by only 10% i.e – 4400.
Increased price of rice = 125.
So new consumption = 4400/125 = 35.2
A man has 4000 rupees in his account two years ago. In the first year he deposited 20 percent of the amount in his account. In the next year he deposited 10 percent of the increased amount in the account. Find the total amount in the account of the person after 2 years.- a)6650
- b)5280
- c)5740
- d)5840
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
A man has 4000 rupees in his account two years ago. In the first year he deposited 20 percent of the amount in his account. In the next year he deposited 10 percent of the increased amount in the account. Find the total amount in the account of the person after 2 years.
a)
6650
b)
5280
c)
5740
d)
5840
e)
None of these
|
Anaya Patel answered |
Answer – b) 5280 Explanation : 4000 + 800 + 480 = 5280
40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?- a)50%
- b)60%
- c)70%
- d)80%
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?
a)
50%
b)
60%
c)
70%
d)
80%
e)
None of these
|
|
Machine Experts answered |
Let the total number of women be 100 (for simplicity).
Women above 30 years of age:
40% of the women are above 30 years of age, which means:
Women above 30 years = 40% of 100 = 40 women
Women less than or equal to 50 years of age:
80% of the women are less than or equal to 50 years of age, which means:
Women less than or equal to 50 years = 80% of 100 = 80 women
Women above 50 years of age:
Since 80% are less than or equal to 50 years, the remaining 20% are above 50 years of age, which means:
Women above 50 years = 20% of 100 = 20 women
Women who play basketball:
20% of all women play basketball, which means:
Total basketball players = 20% of 100 = 20 women
Women above 50 years of age who play basketball:
30% of the women above 50 years play basketball, which means:
Basketball players above 50 years = 30% of 20 = 6 women
Women less than or equal to 50 years who play basketball:
The total number of basketball players is 20, and 6 of them are above 50 years of age.
Therefore, the number of players less than or equal to 50 years of age is:
Basketball players less than or equal to 50 years = 20 − 6 = 14 women
Percentage of players who are less than or equal to 50 years of age:
Percentage of players less than or equal to 50 years =
Thus, 70% of the basketball players are less than or equal to 50 years of age.
Women above 30 years of age:
40% of the women are above 30 years of age, which means:
Women above 30 years = 40% of 100 = 40 women
Women less than or equal to 50 years of age:
80% of the women are less than or equal to 50 years of age, which means:
Women less than or equal to 50 years = 80% of 100 = 80 women
Women above 50 years of age:
Since 80% are less than or equal to 50 years, the remaining 20% are above 50 years of age, which means:
Women above 50 years = 20% of 100 = 20 women
Women who play basketball:
20% of all women play basketball, which means:
Total basketball players = 20% of 100 = 20 women
Women above 50 years of age who play basketball:
30% of the women above 50 years play basketball, which means:
Basketball players above 50 years = 30% of 20 = 6 women
Women less than or equal to 50 years who play basketball:
The total number of basketball players is 20, and 6 of them are above 50 years of age.
Therefore, the number of players less than or equal to 50 years of age is:
Basketball players less than or equal to 50 years = 20 − 6 = 14 women
Percentage of players who are less than or equal to 50 years of age:
Percentage of players less than or equal to 50 years =
Thus, 70% of the basketball players are less than or equal to 50 years of age.
Alisha goes to a supermarket and bought things worth rupees 60, out of which 40 paise went on sales tax. If the tax rate is 10 percent, then what was the cost of tax free items?- a)54.60
- b)55.60
- c)56.60
- d)57.60
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Alisha goes to a supermarket and bought things worth rupees 60, out of which 40 paise went on sales tax. If the tax rate is 10 percent, then what was the cost of tax free items?
a)
54.60
b)
55.60
c)
56.60
d)
57.60
e)
None of these
|
|
Machine Experts answered |
Total cost of items = ₹60.
Sales tax paid = 40 paise = ₹0.40.
Tax rate = 10%. So, the tax amount is 10% of the cost of taxed items (denoted as T).
The sales tax equation is:
Solving for T:
Solving for T:
Now, the cost of tax-free items is:
Cost of tax-free items = 60 − T − Sales tax = 60 − 4 − 0.40 = 55.60 rupees.
Thus, the cost of tax-free items is ₹55.60.
Cost of tax-free items = 60 − T − Sales tax = 60 − 4 − 0.40 = 55.60 rupees.
Thus, the cost of tax-free items is ₹55.60.
60 percent of the employees of a company are women and 75% of the women earn 20000 or more in a month. Total number of employees who earns more than 20000 per month in the company is 60 percent of the total employees.What fraction of men earns less than 20000 per month?- a)5/8
- b)5/7
- c)1/5
- d)3/4
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
60 percent of the employees of a company are women and 75% of the women earn 20000 or more in a month. Total number of employees who earns more than 20000 per month in the company is 60 percent of the total employees.What fraction of men earns less than 20000 per month?
a)
5/8
b)
5/7
c)
1/5
d)
3/4
e)
None of these
|
|
Machine Experts answered |
Total employees = 100 (for simplicity).
Number of women = 60% of 100 = 60 women.
Number of men = 40% of 100 = 40 men.
75% of the women earn 20,000 or more:
Women earning 20,000 or more = 75% of 60 = 0.75 × 60 = 45 women.
Total number of employees earning more than 20,000 per month is 60% of the total employees:
Employees earning more than 20,000 = 60% of 100 = 60 employees.
Out of these 60 employees, 45 are women, so the remaining 15 must be men:
Men earning more than 20,000 = 15 men.
The total number of men is 40, and 15 men earn more than 20,000, so the number of men earning less than 20,000 is:
Men earning less than 20,000 = 40 − 15 = 25 men.
The fraction of men earning less than 20,000 is:
Fraction = 25/40 = 5 / 8
Thus, the correct answer is A: 5/8
Number of women = 60% of 100 = 60 women.
Number of men = 40% of 100 = 40 men.
75% of the women earn 20,000 or more:
Women earning 20,000 or more = 75% of 60 = 0.75 × 60 = 45 women.
Total number of employees earning more than 20,000 per month is 60% of the total employees:
Employees earning more than 20,000 = 60% of 100 = 60 employees.
Out of these 60 employees, 45 are women, so the remaining 15 must be men:
Men earning more than 20,000 = 15 men.
The total number of men is 40, and 15 men earn more than 20,000, so the number of men earning less than 20,000 is:
Men earning less than 20,000 = 40 − 15 = 25 men.
The fraction of men earning less than 20,000 is:
Fraction = 25/40 = 5 / 8
Thus, the correct answer is A: 5/8
In an election contested by two parties A and B, party A secured 25 percent of the total votes more than Party B. If party B gets 15000 votes. By how much votes does party B loses the election?- a)8000
- b)10000
- c)12000
- d)15000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
In an election contested by two parties A and B, party A secured 25 percent of the total votes more than Party B. If party B gets 15000 votes. By how much votes does party B loses the election?
a)
8000
b)
10000
c)
12000
d)
15000
e)
None of these
|
KS Coaching Center answered |
Answer – b) 10000 Explanation : Let total votes = T and party B gets 15000 votes then party A will get T -15000 votes T – 15000 – 15000 = 25T/100
T = 40000, so A get 25000 and B gets 15000 votes, so difference = 10000
T = 40000, so A get 25000 and B gets 15000 votes, so difference = 10000
A man spends 60% of his income. His income is increased by 20% and his expenditure also increases by 10%. Find the percentage decrease in his saving?- a)10%
- b)15%
- c)20%
- d)25%
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
A man spends 60% of his income. His income is increased by 20% and his expenditure also increases by 10%. Find the percentage decrease in his saving?
a)
10%
b)
15%
c)
20%
d)
25%
e)
None of these
|
|
Rhea Reddy answered |
Answer – a) 10% Explanation : Let initially income is 100. So, expenditure = 60 and saving = 40 now income is increased by 20% i.e. 120. So, expenditure = (70/100)*120 = 84 and saving = 36 so % percent decrease in saving = (4/40)*100 = 10%
The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?- a)10000
- b)12500
- c)15000
- d)17500
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?
a)
10000
b)
12500
c)
15000
d)
17500
e)
None of these
|
Divey Sethi answered |
We can use the formula for compound growth to find the initial population:
where:
- P is the final population (21600)
- P0 is the initial population (what we want to find)
- r is the annual growth rate (20% or 0.20)
- n is the number of years (3)
Plug in the known values:
Simplify and solve for P0:
Simplify and solve for P0:
If the price of an article is increased by 15%, then by how much the household should decrease their consumption so as to keep his expenditure same.- a)13(1/23)%
- b)13(2/23)%
- c)11(1/23)%
- d)11(2/23)%
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
If the price of an article is increased by 15%, then by how much the household should decrease their consumption so as to keep his expenditure same.
a)
13(1/23)%
b)
13(2/23)%
c)
11(1/23)%
d)
11(2/23)%
e)
None of these
|
Yash Patel answered |
Answer – 1.13(1/23)% Explanation : Decrease in expenditure = (15/115)*100 = 300/23 %
30 litre of solution contains alcohol and water in the ratio 2:3. How much alcohol must be added to the solution to make a solution containing 60% of alcohol?- a)10
- b)12
- c)14
- d)15
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
30 litre of solution contains alcohol and water in the ratio 2:3. How much alcohol must be added to the solution to make a solution containing 60% of alcohol?
a)
10
b)
12
c)
14
d)
15
e)
None of these
|
|
Machine Experts answered |
The initial solution contains 30 liters, with alcohol and water in the ratio 2:3.
The amount of alcohol in the solution is:
The amount of water in the solution is:
The amount of water in the solution is:
We need to add some amount of alcohol (let it be x) to make the alcohol content 60% of the total solution.
After adding x liters of alcohol, the new total volume of the solution will be 30 + x liters, and the amount of alcohol will be 12 + x liters.
The concentration of alcohol should be 60%, so:
Solving the equation:
Solving the equation:
Thus, 15 liters of alcohol must be added to the solution.
Weights of two friends A and B are in the ratio of 1 : 2. A’s weight increases by 20% and the total weight of A and B together becomes 60 kg, with an increase of 30%. By what percent the weight of B increase?
- a)30%
- b)35%
- c)40%
- d)45%
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Weights of two friends A and B are in the ratio of 1 : 2. A’s weight increases by 20% and the total weight of A and B together becomes 60 kg, with an increase of 30%. By what percent the weight of B increase?
a)
30%
b)
35%
c)
40%
d)
45%
e)
None of these
|
|
KS Coaching Center answered |
Let the original weights of A and B be A and B, respectively. Since the ratio of their weights is 1 : 2, we can say:
A = x and B = 2x
A’s weight increases by 20%, so the new weight of A is:
New weight of A = A + 20% of A = x + 0.20x = 1.2x
The total weight of A and B after the increase is 60 kg, and it is also given that the total weight increased by 30%. Therefore, the original total weight of A and B was:
Original total weight = 60/1.30 = 46.15 kg (approximately)
The original total weight of A and B is also A + B = x + 2x = 3x, so:
3 x = 46.15 ⇒ x = 46.15/3 = 15.38 kg (approximately)
So, A’s original weight is approximately 15.38 kg, and B’s original weight is:
B = 2x = 2 × 15.38 = 30.76 kg (approximately)
The new total weight is 60 kg, and the new weight of A is 1.2x = 1.2 × 15.38 = 18.46 kg. Therefore, the new weight of B is:
New weight of B = 60 − 18.46 = 41.54 kg (approximately)
Now, we can calculate the percentage increase in B’s weight:
A = x and B = 2x
A’s weight increases by 20%, so the new weight of A is:
New weight of A = A + 20% of A = x + 0.20x = 1.2x
The total weight of A and B after the increase is 60 kg, and it is also given that the total weight increased by 30%. Therefore, the original total weight of A and B was:
Original total weight = 60/1.30 = 46.15 kg (approximately)
The original total weight of A and B is also A + B = x + 2x = 3x, so:
3 x = 46.15 ⇒ x = 46.15/3 = 15.38 kg (approximately)
So, A’s original weight is approximately 15.38 kg, and B’s original weight is:
B = 2x = 2 × 15.38 = 30.76 kg (approximately)
The new total weight is 60 kg, and the new weight of A is 1.2x = 1.2 × 15.38 = 18.46 kg. Therefore, the new weight of B is:
New weight of B = 60 − 18.46 = 41.54 kg (approximately)
Now, we can calculate the percentage increase in B’s weight:
Thus, B’s weight increased by 35%.
Rakesh spent 30 percent of his monthly income on food items. Of the remaining amount he spent 60 percent on clothes and bills. Now he save fiveseventh of the remaining amount and the he saves 120000 yearly, then find his monthly income.- a)40000
- b)50000
- c)60000
- d)70000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Rakesh spent 30 percent of his monthly income on food items. Of the remaining amount he spent 60 percent on clothes and bills. Now he save fiveseventh of the remaining amount and the he saves 120000 yearly, then find his monthly income.
a)
40000
b)
50000
c)
60000
d)
70000
e)
None of these
|
|
Cstoppers Instructors answered |
Answer – 2. 50000 Explanation : Let monthly income is P (70/100)*P*(40/100)*5/7 = 10000
P = 50000
P = 50000
If the price of an article is increased by 15%, then by how much the household should decrease their consumption so as to keep his expenditure same.- a)13(1/23) %
- b)13(2/23)%
- c)11(1/23)%
- d)11(2/23)%
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
If the price of an article is increased by 15%, then by how much the household should decrease their consumption so as to keep his expenditure same.
a)
13(1/23) %
b)
13(2/23)%
c)
11(1/23)%
d)
11(2/23)%
e)
None of these
|
Shu Bham answered |
115*P = 100*100
we need to find (100-p)
P=100*100/115
100-P = 100 -(100*100/115)
=300/23
= 13(1/23)%
we need to find (100-p)
P=100*100/115
100-P = 100 -(100*100/115)
=300/23
= 13(1/23)%
A got 30% of the maximum marks in an examination and failed by 10 marks. However, B who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?- a)65
- b)75
- c)80
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
A got 30% of the maximum marks in an examination and failed by 10 marks. However, B who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
a)
65
b)
75
c)
80
d)
None of these
|
Engineers Adda answered |
(30/100)*T = P -10
(40/100)*T = P + 15
U will get P = 85
(40/100)*T = P + 15
U will get P = 85
Pankaj gave 50 percent of the amount to akash. Akash in turn gave two-fifth of the amount to venu. After paying a bill of 500 rupees, venu now have 8000 rupees left with him. Find the amount hold by pankaj initially.- a)41500
- b)42500
- c)43500
- d)44500
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Pankaj gave 50 percent of the amount to akash. Akash in turn gave two-fifth of the amount to venu. After paying a bill of 500 rupees, venu now have 8000 rupees left with him. Find the amount hold by pankaj initially.
a)
41500
b)
42500
c)
43500
d)
44500
e)
None of these
|
|
Cstoppers Instructors answered |
Answer – 2. 42500 Explanation : Let pankaj have P amount initially [[(50/100)*P]*2/5 – 500] = 8000
P = 42500
P = 42500
In a library 5 percent books are in English, 10 percent of the remaining are in hindi and 15 percent of the remaining are in Sanskrit. The remaining 11628 books are in French. Then find the total number of books in the library.
- a)8000
- b)12000
- c)16000
- d)20000
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
In a library 5 percent books are in English, 10 percent of the remaining are in hindi and 15 percent of the remaining are in Sanskrit. The remaining 11628 books are in French. Then find the total number of books in the library.
a)
8000
b)
12000
c)
16000
d)
20000
e)
None of these
|
|
Ravi Singh answered |
5% of books are in English,
10% of remaining books are in Hindi,
15% of remaining books are in Sanskrit.
Remaining books are in french = 11628
Calculation:
Let the total books in the library be 100%
According to question:
5% of books are in English
Remaining books = 100 - 5 = 95%
10% of remaining are in hindi = 10% of 95 = 9.5
Remaining books = 95 - 9.5 = 85.5%
15% of remaining books are in sanskrit = 15% of 85.5 = 12.825%
Remaining books = 85% - 12.825% = 72.675%
According to question:
72.675% = 11628
⇒ 1% = (11628/72.675)
⇒ 100% = (11628/72.675)× 100 = 16000
∴ Required value = 16000
The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?- a)10000
- b)12500
- c)15000
- d)17500
Correct answer is option 'B'. Can you explain this answer?
The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?
a)
10000
b)
12500
c)
15000
d)
17500
|
Bayshore Academy answered |
- The population increases by 20% annually, meaning it multiplies by 1.20 each year.
- After 3 years, the population is 21600.
- Using the compound growth formula P=P0(1+r)t, where P = 21600, r = 0.20, and t = 3, we calculate the initial population P0.
- Solving 21600=P0 x (1.20)3, we find P0 = 12500.
- The initial population is therefore 12500.
The number of seats in a cinema hall is decreased by 8% and also the price of the ticket is increased by 4 percent. What is the effect on the revenue collected?- a)increase 4.32%
- b)decrease 4.32%
- c)increase 3.32 percent
- d)decrease 3.32%
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
The number of seats in a cinema hall is decreased by 8% and also the price of the ticket is increased by 4 percent. What is the effect on the revenue collected?
a)
increase 4.32%
b)
decrease 4.32%
c)
increase 3.32 percent
d)
decrease 3.32%
e)
None of these
|
|
Cstoppers Instructors answered |
Answer – b) decrease 4.32% Explanation : Let initially seats are 100 and price of each seat is 100, so total initial revenue = 10000
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568 so percent change in revenue = (432/10000)*100 = 4.32 decrease
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568 so percent change in revenue = (432/10000)*100 = 4.32 decrease
When the price of rice is increased by 30 percent, a family reduces its consumption such that the expenditure is only 20 percent more than before. If 50 kg of rice is consumed by family before, then find the new consumption of family (approx.)- a)43kg
- b)44kg
- c)45kg
- d)46kg
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
When the price of rice is increased by 30 percent, a family reduces its consumption such that the expenditure is only 20 percent more than before. If 50 kg of rice is consumed by family before, then find the new consumption of family (approx.)
a)
43kg
b)
44kg
c)
45kg
d)
46kg
e)
None of these
|
|
Cstoppers Instructors answered |
Answer – 4.46kg Explanation : Suppose initially price per kg of rice is 100 then their expenditure is 5000.
Now their expenditure is only increased by only 20% i.e – 6000.
Increased price of rice = 130.
So new consumption = 6000/130 = 46.1
Now their expenditure is only increased by only 20% i.e – 6000.
Increased price of rice = 130.
So new consumption = 6000/130 = 46.1
The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.- a)16820
- b)15820
- c)17820
- d)19820
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.
a)
16820
b)
15820
c)
17820
d)
19820
e)
None of these
|
Jay Sharma answered |
Increase in first year = 10%
10% of 15000 = 1500
Population After 1 year = 15000 + 1500
= 16500
Increase in second year = 20%
20% of 16500 = 3300
Population After 2 year = 16500 + 3300
= 19800
Decrease in third year = 10%
10% of 19800 = 1980
Population After 3 year = 19800 - 1980
= 17820
So The Answer is C option
10% of 15000 = 1500
Population After 1 year = 15000 + 1500
= 16500
Increase in second year = 20%
20% of 16500 = 3300
Population After 2 year = 16500 + 3300
= 19800
Decrease in third year = 10%
10% of 19800 = 1980
Population After 3 year = 19800 - 1980
= 17820
So The Answer is C option
A student has to get 40 percent marks to pass an examination. He got 60 marks but fails by 20 marks. Find the maximum marks of the examination.- a)150
- b)200
- c)300
- d)400
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
A student has to get 40 percent marks to pass an examination. He got 60 marks but fails by 20 marks. Find the maximum marks of the examination.
a)
150
b)
200
c)
300
d)
400
e)
None of these
|
|
Ravi Singh answered |
Answer –b) 200 Explanation : (40/100)*M – 20 = 60 (M is the maximum marks)
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?- a)37%
- b)26%
- c)43%
- d)15%
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?
a)
37%
b)
26%
c)
43%
d)
15%
e)
None of these
|
|
Rajeev Kumar answered |
Answer – 1.37% Explanation : Students passed in Prelims = 70% Students passed in Mains = 55% Students passed in both = 62% No of students passed in at least one subject = (70+55)-62 = 63%. students failed in both subjects = 100-63 = 37%.
The marked price of an article is 20% higher than the cost price. A discount of 20% is given on the marked price. In this transaction the seller- a)bears no loss no profit
- b)losses 4%
- c)gain 4%
- d)losses 1%
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
The marked price of an article is 20% higher than the cost price. A discount of 20% is given on the marked price. In this transaction the seller
a)
bears no loss no profit
b)
losses 4%
c)
gain 4%
d)
losses 1%
e)
None of these
|
Faizan Khan answered |
Answer – b) losses 4% Explanation : let cost price = 100 so, marked price = 120 now discount of 20% is given, so sp = 120*80/100 = 96 so % loss = (4/100)*100 = 4 percent
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the election- a)50000
- b)75000
- c)100000
- d)125000
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the election
a)
50000
b)
75000
c)
100000
d)
125000
e)
None of these
|
|
Aarav Sharma answered |
Given:
- 12% of the voters did not cast their votes.
- There are only two candidates.
- The winner obtained 45% of the total votes and defeated his rival by 2000 votes.
To find:
- The total number of votes in the election.
Solution:
Let's assume that the total number of voters is "x".
According to the question,
- 12% of the voters did not cast their votes. So, the number of voters who cast their votes = 88% of x = 0.88x.
Now, let's consider the votes each candidate received.
- The winner obtained 45% of the total votes. So, the number of votes the winner received = 0.45x.
- The loser obtained 100% - 45% = 55% of the total votes. So, the number of votes the loser received = 0.55x.
According to the question,
- The winner defeated his rival by 2000 votes. So,
- Number of votes the winner received - Number of votes the loser received = 2000
- 0.45x - 0.55x = 2000
- -0.1x = -2000
- x = 20000
Therefore, the total number of votes in the election is 20000. But this is the number of total voters. We need to find the number of voters who cast their votes.
- Number of voters who cast their votes = 0.88x = 0.88 * 20000 = 17600
Therefore, the total number of votes in the election is 17600. But this is not one of the answer choices.
Now, we need to check which answer choice is closest to 17600.
- (A) 50000: Too high.
- (B) 75000: Too high.
- (C) 100000: Closest to 17600.
- (D) 125000: Too high.
- (E) None of these: Not correct.
Therefore, the correct answer is (C) 100000.
Final Answer:
The total number of votes in the election is 100000.
- 12% of the voters did not cast their votes.
- There are only two candidates.
- The winner obtained 45% of the total votes and defeated his rival by 2000 votes.
To find:
- The total number of votes in the election.
Solution:
Let's assume that the total number of voters is "x".
According to the question,
- 12% of the voters did not cast their votes. So, the number of voters who cast their votes = 88% of x = 0.88x.
Now, let's consider the votes each candidate received.
- The winner obtained 45% of the total votes. So, the number of votes the winner received = 0.45x.
- The loser obtained 100% - 45% = 55% of the total votes. So, the number of votes the loser received = 0.55x.
According to the question,
- The winner defeated his rival by 2000 votes. So,
- Number of votes the winner received - Number of votes the loser received = 2000
- 0.45x - 0.55x = 2000
- -0.1x = -2000
- x = 20000
Therefore, the total number of votes in the election is 20000. But this is the number of total voters. We need to find the number of voters who cast their votes.
- Number of voters who cast their votes = 0.88x = 0.88 * 20000 = 17600
Therefore, the total number of votes in the election is 17600. But this is not one of the answer choices.
Now, we need to check which answer choice is closest to 17600.
- (A) 50000: Too high.
- (B) 75000: Too high.
- (C) 100000: Closest to 17600.
- (D) 125000: Too high.
- (E) None of these: Not correct.
Therefore, the correct answer is (C) 100000.
Final Answer:
The total number of votes in the election is 100000.
In a factory there are three types of bulbs L1, L2 and L3 which produces 20%, 15% and 32% of the total products respectively. L1, L2 and L3 produces 3%, 7% and 2% defective products, respectively. Find the percentage of nondefective products ?- a)46%
- b)30%
- c)53%
- d)64%
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
In a factory there are three types of bulbs L1, L2 and L3 which produces 20%, 15% and 32% of the total products respectively. L1, L2 and L3 produces 3%, 7% and 2% defective products, respectively. Find the percentage of nondefective products ?
a)
46%
b)
30%
c)
53%
d)
64%
e)
None of these
|
|
Faizan Khan answered |
Answer – 4.64% Explanation : (20*0.97)+(15*0.93)+(32*0.98) = 19.4+13.95+31.36
= 64.71
= 64.71
A salary is 40 percent more than B. B’s salary is 30 percent less than C. If the difference between the salary of C and A is 1200 rupees, then what is the monthly income of C - a)50000
- b)60000
- c)70000
- d)80000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
A salary is 40 percent more than B. B’s salary is 30 percent less than C. If the difference between the salary of C and A is 1200 rupees, then what is the monthly income of C
a)
50000
b)
60000
c)
70000
d)
80000
e)
None of these
|
Kavya Saxena answered |
Answer – 2.60000 Explanation : A = (140/100)*B
B = (70/100)*C
[(100/70) – (140/100)]*B = 1200.
B = 42000.
C = (100/70)*42000 = 60000
B = (70/100)*C
[(100/70) – (140/100)]*B = 1200.
B = 42000.
C = (100/70)*42000 = 60000
The maximum marks per paper in 3 subjects in Mathematics , Physics and Chemistry are set in the ratio 1 : 2 : 3 respectively. Giri obtained 40% in Mathematics, 60% in Physics and 35% in Chemistry papers. What is overall percentage marks did he get overall?- a)44%
- b)32%
- c)50%
- d)60%
Correct answer is option 'A'. Can you explain this answer?
The maximum marks per paper in 3 subjects in Mathematics , Physics and Chemistry are set in the ratio 1 : 2 : 3 respectively. Giri obtained 40% in Mathematics, 60% in Physics and 35% in Chemistry papers. What is overall percentage marks did he get overall?
a)
44%
b)
32%
c)
50%
d)
60%
|
EduRev GATE answered |
40*1/100 : 60*2/100 : 35*3/100 = 0.4:1.2:1.05
Overall % =100* [0.4+1.2+1.05]/1+2+3 = 265/6 = 44.16 = 44%
Overall % =100* [0.4+1.2+1.05]/1+2+3 = 265/6 = 44.16 = 44%
When the price of rice is increased by 30 percent, a family reduces its consumption such that the expenditure is only 20 percent more than before. If 50 kg of rice is consumed by family before, then find the new consumption of family (approx.)- a)43kg
- b)44kg
- c)45kg
- d)46kg
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
When the price of rice is increased by 30 percent, a family reduces its consumption such that the expenditure is only 20 percent more than before. If 50 kg of rice is consumed by family before, then find the new consumption of family (approx.)
a)
43kg
b)
44kg
c)
45kg
d)
46kg
e)
None of these
|
|
Rajeev Kumar answered |
Answer – d) 46kg Explanation : Suppose initially price per kg of rice is 100 then their expenditure is 5000.
Now their expenditure is only increased by only 20% i.e – 6000.
Increased price of rice = 130.
So new consumption = 6000/130 = 46
Now their expenditure is only increased by only 20% i.e – 6000.
Increased price of rice = 130.
So new consumption = 6000/130 = 46
In a class of 60 students , 40% of the students passed in Reasoning, 5% of the students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only in Quants?
- a)17
- b)33
- c)23
- d)37
Correct answer is option 'B'. Can you explain this answer?
In a class of 60 students , 40% of the students passed in Reasoning, 5% of the students failed in Quants and Reasoning, and 20% of the students passed in both the subjects. Find the number of student passed only in Quants?
a)
17
b)
33
c)
23
d)
37
|
Crack Gate answered |
Total students=60
Failed in both=5% of 60=3
Passed in both=20% of 60=12
Passed in reasoning=50% of 60=24
Those passed only in reasoning =24-12=12 students.
Passed only in Quants=60-(12+12+3)=33
Failed in both=5% of 60=3
Passed in both=20% of 60=12
Passed in reasoning=50% of 60=24
Those passed only in reasoning =24-12=12 students.
Passed only in Quants=60-(12+12+3)=33
In a class, 60% of the students are boys and in an examination, 80% of the girls scored more than 40 marks(Maximum Marks:150). If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less.- a)8/15
- b)7/15
- c)4/5
- d)1/5
Correct answer is option 'A'. Can you explain this answer?
In a class, 60% of the students are boys and in an examination, 80% of the girls scored more than 40 marks(Maximum Marks:150). If 60% of the total students scored more than 40 marks in the same exam, what is the fraction of the boys who scored 40 marks or less.
a)
8/15
b)
7/15
c)
4/5
d)
1/5
|
|
Engineers Adda answered |
Assume Total no of students = 100
60% of the students are boys. so Boys=60,Girls=40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60-32=28
No. of boys who scored less= Total boys – Boys(scored more) = 60-28=32
Fraction=(scored less)/Total boys = 32/60 =8/15
60% of the students are boys. so Boys=60,Girls=40
No. of girls who scored more than 40 marks = 80% of girls = 80% of 40 = 32.
No. of students who scored more than 40 marks = 60% of Total Students = 60
Therefore No. of boys who scored more than 40 marks = 60-32=28
No. of boys who scored less= Total boys – Boys(scored more) = 60-28=32
Fraction=(scored less)/Total boys = 32/60 =8/15
One type of liquid contains 20 percent milk and in other liquid it contains 30 percent milk. If 4 parts of the first and 6 parts of the second are taken and formed a new liquid A. Find the percentage of milk in third liquid.- a)26
- b)28
- c)29
- d)30
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
One type of liquid contains 20 percent milk and in other liquid it contains 30 percent milk. If 4 parts of the first and 6 parts of the second are taken and formed a new liquid A. Find the percentage of milk in third liquid.
a)
26
b)
28
c)
29
d)
30
e)
None of these
|
|
Aisha Gupta answered |
Answer – a) 26 Explanation : milk = 20 and water = 80 (in 1 liquid) milk = 30 and water = 70 (in 2 liquid) milk in final mixture = 20*4 + 30*6 = 260 so (260/1000)*100 = 26%
The number of seats in a cinema hall is decreased by 8% and also the price of the ticket is increased by 4 percent. What is the effect on the revenue collected?- a)increase 4.32%
- b)decrease 4.32%
- c)increase 3.32 percent
- d)decrease 3.32%
Correct answer is option 'B'. Can you explain this answer?
The number of seats in a cinema hall is decreased by 8% and also the price of the ticket is increased by 4 percent. What is the effect on the revenue collected?
a)
increase 4.32%
b)
decrease 4.32%
c)
increase 3.32 percent
d)
decrease 3.32%
|
|
EduRev GATE answered |
Let initially seats are 100 and price of each seat is 100, so total initial revenue = 10000
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568
so percent change in revenue = (432/10000)*100 = 4.32 decrease
now, seats are 92 and price of each seat = 104, so total revenue = 92*104 = 9568
so percent change in revenue = (432/10000)*100 = 4.32 decrease
The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.- a)16820
- b)15820
- c)17820
- d)19820
Correct answer is option 'C'. Can you explain this answer?
The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.
a)
16820
b)
15820
c)
17820
d)
19820
|
Telecom Tuners answered |
15000*(11/10)*(12/10)*(9/10) = 17820
60 percent of the employees of a company are women and 75% of the women earn 20000 or more in a month. Total number of employees who earns more than 20000 per month in the company is 60 percent of the total employees. What fraction of men earns less than 20000 per month?- a)5/8
- b)5/7
- c)1/5
- d)3/4
Correct answer is option 'A'. Can you explain this answer?
60 percent of the employees of a company are women and 75% of the women earn 20000 or more in a month. Total number of employees who earns more than 20000 per month in the company is 60 percent of the total employees. What fraction of men earns less than 20000 per month?
a)
5/8
b)
5/7
c)
1/5
d)
3/4
|
|
Telecom Tuners answered |
let total employees are 100
males = 40 and females = 60 (45 women earns more than 20000)
total 60 employee earns more than 20000 per month, so number of males earns more than 20000 is 15
so fraction = 25/40 = 5/8
males = 40 and females = 60 (45 women earns more than 20000)
total 60 employee earns more than 20000 per month, so number of males earns more than 20000 is 15
so fraction = 25/40 = 5/8
2000 sweets need to be distributed equally among the school students in such a way that each student gets sweet equal to 20% of total students. Then the number of sweets, each student gets.
- a)50
- b)20
- c)120
- d)150
Correct answer is option 'B'. Can you explain this answer?
2000 sweets need to be distributed equally among the school students in such a way that each student gets sweet equal to 20% of total students. Then the number of sweets, each student gets.
a)
50
b)
20
c)
120
d)
150
|
Gate Funda answered |
(20/100)*t*t = 2000 (total students = t)
Alisha goes to a supermarket and bought things worth rupees 60, out of which 40 paise went on sales tax. If the tax rate is 10 percent, then what was the cost of tax free items?- a)54.60
- b)55.60
- c)56.60
- d)57.60
Correct answer is option 'B'. Can you explain this answer?
Alisha goes to a supermarket and bought things worth rupees 60, out of which 40 paise went on sales tax. If the tax rate is 10 percent, then what was the cost of tax free items?
a)
54.60
b)
55.60
c)
56.60
d)
57.60
|
Niharika Basu answered |
Calculation of Tax-Free Items Cost:
Explanation:
- Total cost of items = Rs. 60
- Sales tax = 40 paise
- Tax rate = 10%
Step 1: Calculate the total tax amount
- Tax rate = 10%
- Total cost of items = Rs. 60
- Tax amount = 10% of Rs. 60 = Rs. 6
Step 2: Convert the tax amount to paise
- 1 Rupee = 100 paise
- Rs. 6 = 6 * 100 = 600 paise
Step 3: Calculate the tax-free items cost
- Total cost of items = Rs. 60 = 6000 paise
- Sales tax = 40 paise
- Total tax amount = 600 paise
- Cost of tax-free items = Total cost of items - Total tax amount
- Cost of tax-free items = 6000 paise - 600 paise = 5400 paise = Rs. 54
Therefore, the cost of the tax-free items is Rs. 54.60, which is option 'B'.
Explanation:
- Total cost of items = Rs. 60
- Sales tax = 40 paise
- Tax rate = 10%
Step 1: Calculate the total tax amount
- Tax rate = 10%
- Total cost of items = Rs. 60
- Tax amount = 10% of Rs. 60 = Rs. 6
Step 2: Convert the tax amount to paise
- 1 Rupee = 100 paise
- Rs. 6 = 6 * 100 = 600 paise
Step 3: Calculate the tax-free items cost
- Total cost of items = Rs. 60 = 6000 paise
- Sales tax = 40 paise
- Total tax amount = 600 paise
- Cost of tax-free items = Total cost of items - Total tax amount
- Cost of tax-free items = 6000 paise - 600 paise = 5400 paise = Rs. 54
Therefore, the cost of the tax-free items is Rs. 54.60, which is option 'B'.
720 sweets are distributed equally among the children in such a way that the number of sweets given to each child is equal to 20% of the total number of children. How many sweets did each child get?- a)11
- b)15
- c)12
- d)14
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
720 sweets are distributed equally among the children in such a way that the number of sweets given to each child is equal to 20% of the total number of children. How many sweets did each child get?
a)
11
b)
15
c)
12
d)
14
e)
None of these
|
Mita Mehta answered |
The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:- a)30%
- b)60%
- c)75%
- d)78%
Correct answer is option 'D'. Can you explain this answer?
The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the students who are not scholarship holders is:
a)
30%
b)
60%
c)
75%
d)
78%
|
|
Telecom Tuners answered |
Consider Total no of students = 100
Ratio is 3:2 i.e Boys=60 and Girls=40
20% of boys who get scholarship = 60*20/100=12%
25% of girls who get scholarship = 40*25/100 =10%
Therefore % of students who do not get scholarship =100-(12+10) = 78%
Ratio is 3:2 i.e Boys=60 and Girls=40
20% of boys who get scholarship = 60*20/100=12%
25% of girls who get scholarship = 40*25/100 =10%
Therefore % of students who do not get scholarship =100-(12+10) = 78%
The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.- a)16820
- b)15820
- c)17820
- d)19820
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
The population of a town is 15000. It increases by 10 percent in the first year and 20 percent in the second year. But in the third year it decreases by 10 percent. What will be the population after 3 years.
a)
16820
b)
15820
c)
17820
d)
19820
e)
None of these
|
Nikita Singh answered |
Answer – c) 17820 Explanation : 15000*(11/10)*(12/10)*(9/10) = 17820
Fresh fruits contain 75% while dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?- a)900kg
- b)850kg
- c)920kg
- d)960kg
Correct answer is option 'D'. Can you explain this answer?
Fresh fruits contain 75% while dry fruits contain 20% water. If the weight of dry fruits is 300 kg, what was its total weight when it was fresh?
a)
900kg
b)
850kg
c)
920kg
d)
960kg
|
|
Engineers Adda answered |
Quantity of water in 300 kg dry fruits, = (20 /100) *300 = 60 kg
Quantity of fruit alone= 300-60 =240 kg
25 kg fruit piece in 100 kg fresh fruits
For 240 = (100 *240)/25 = 960 kg.
Quantity of fruit alone= 300-60 =240 kg
25 kg fruit piece in 100 kg fresh fruits
For 240 = (100 *240)/25 = 960 kg.
In a college election 35% voted for Person A, whereas 42% voted for Person B. The remaining people were not vote to any person. If the difference between those who vote for Person B in the election and those who are uncertain was 570, how many people are participated in the college election?
- a)1500
- b)3000
- c)2100
- d)1700
Correct answer is option 'B'. Can you explain this answer?
In a college election 35% voted for Person A, whereas 42% voted for Person B. The remaining people were not vote to any person. If the difference between those who vote for Person B in the election and those who are uncertain was 570, how many people are participated in the college election?
a)
1500
b)
3000
c)
2100
d)
1700
|
Rajesh Verma answered |
Given Information:
- Percentage of votes for Person A: 35%
- Percentage of votes for Person B: 42%
- Difference between votes for Person B and uncertain votes: 570
Let the total number of people who participated in the election be x.
Finding the number of votes for each person:
- Votes for Person A: 0.35x
- Votes for Person B: 0.42x
Calculating the difference in votes for Person B and uncertain votes:
0.42x - (x - 0.35x) = 570
0.42x - x + 0.35x = 570
0.77x = 570
x = 570 / 0.77
x ≈ 740.26
Therefore, the total number of people who participated in the college election is approximately 740.26. Since the number of people must be a whole number, the closest option is 2000 (option B).
- Percentage of votes for Person A: 35%
- Percentage of votes for Person B: 42%
- Difference between votes for Person B and uncertain votes: 570
Let the total number of people who participated in the election be x.
Finding the number of votes for each person:
- Votes for Person A: 0.35x
- Votes for Person B: 0.42x
Calculating the difference in votes for Person B and uncertain votes:
0.42x - (x - 0.35x) = 570
0.42x - x + 0.35x = 570
0.77x = 570
x = 570 / 0.77
x ≈ 740.26
Therefore, the total number of people who participated in the college election is approximately 740.26. Since the number of people must be a whole number, the closest option is 2000 (option B).
A reduction of 20% in the price of rice enables a housewife to buy 5 kg more for rupees 1200. The reduced price per kg of rice- a)36
- b)45
- c)48
- d)60
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
A reduction of 20% in the price of rice enables a housewife to buy 5 kg more for rupees 1200. The reduced price per kg of rice
a)
36
b)
45
c)
48
d)
60
e)
None of these
|
Iq Funda answered |
Step-by-Step Solution
- Define Variables:
- Let p = Original price per kg of rice (₹)
- Reduced price = 20% less than original price = 0.8p
- Determine Quantity Purchased:
- With original price:
- Quantity bought = Total Money / Original Price = ₹1,200 / p = 1200/p kg
- With reduced price:
- Quantity bought = Total Money / Reduced Price = ₹1,200 / (0.8p) = 1500/p kg
- With original price:
- Set Up the Equation Based on the Increase in Quantity:
- Difference in quantity = 5 kg
- Therefore, 1500/p - 1200/p = 5
- Simplify the equation:
- 300/p = 5
- Solve for p:
- p = 300 / 5 = ₹60
- Calculate the Reduced Price:
- Reduced price = 0.8 x Original price = 0.8 x ₹60 = ₹48
Conclusion
The reduced price per kg of rice is ₹48, which corresponds to Option c).
The number of seats in a cinema hall is decreased by 12 percent and the price of tickets also decreased by 4 percent. Find the change in the collection of revenue.- a)decrease 15.52%
- b)decrease 16.52%
- c)decrease 17.52%
- d)decrease 14.325
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
The number of seats in a cinema hall is decreased by 12 percent and the price of tickets also decreased by 4 percent. Find the change in the collection of revenue.
a)
decrease 15.52%
b)
decrease 16.52%
c)
decrease 17.52%
d)
decrease 14.325
e)
None of these
|
|
Aarav Sharma answered |
Given:
- Decrease in number of seats = 12%
- Decrease in price of tickets = 4%
To find: Change in the collection of revenue
Assuming the original number of seats in the cinema hall = 100 and the original price of each ticket = $100, we can calculate the original revenue as follows:
Original revenue = Number of seats * Price per ticket = 100 * 100 = $10,000
After the decrease in the number of seats and the price of tickets, the new revenue can be calculated as follows:
New number of seats = 100 - 12% of 100 = 88
New price per ticket = $100 - 4% of $100 = $96
New revenue = New number of seats * New price per ticket = 88 * 96 = $8,448
Therefore, the change in revenue can be calculated as follows:
Change in revenue = (New revenue - Original revenue) / Original revenue * 100%
= ($8,448 - $10,000) / $10,000 * 100%
= -15.52%
Hence, the answer is option A - decrease 15.52%.
- Decrease in number of seats = 12%
- Decrease in price of tickets = 4%
To find: Change in the collection of revenue
Assuming the original number of seats in the cinema hall = 100 and the original price of each ticket = $100, we can calculate the original revenue as follows:
Original revenue = Number of seats * Price per ticket = 100 * 100 = $10,000
After the decrease in the number of seats and the price of tickets, the new revenue can be calculated as follows:
New number of seats = 100 - 12% of 100 = 88
New price per ticket = $100 - 4% of $100 = $96
New revenue = New number of seats * New price per ticket = 88 * 96 = $8,448
Therefore, the change in revenue can be calculated as follows:
Change in revenue = (New revenue - Original revenue) / Original revenue * 100%
= ($8,448 - $10,000) / $10,000 * 100%
= -15.52%
Hence, the answer is option A - decrease 15.52%.
In an examination, 50% of the students passed in Science and 75% passed in Social, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?- a)400
- b)540
- c)600
- d)750
Correct answer is option 'C'. Can you explain this answer?
In an examination, 50% of the students passed in Science and 75% passed in Social, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?
a)
400
b)
540
c)
600
d)
750
|
Gate Gurus answered |
passed in science = 50%
passed in social = 75%
20% students failed in both the subjects and 80% passed in at least one subject
No of students passed in both subjects = 50+75−x=80 x=45% 45% of x = 270 x = 270*100/45 = 600
Total number of students =600
passed in social = 75%
20% students failed in both the subjects and 80% passed in at least one subject
No of students passed in both subjects = 50+75−x=80 x=45% 45% of x = 270 x = 270*100/45 = 600
Total number of students =600
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the election.- a)50000
- b)75000
- c)100000
- d)125000
Correct answer is option 'C'. Can you explain this answer?
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the election.
a)
50000
b)
75000
c)
100000
d)
125000
|
|
Engineers Adda answered |
12% percent didn’t cast their vote. 45% of total votes get by the winning candidates, so remaining 43% will be scored by his rival. So,
(45/100 -43/100)*P = 2000
P = 100000
(45/100 -43/100)*P = 2000
P = 100000
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