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Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
- a)Rs. 200
- b)Rs. 250
- c)Rs. 300
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
a)
Rs. 200
b)
Rs. 250
c)
Rs. 300
d)
None of these
|
Ishani Rane answered |
Let the sum paid to Y per week be Rs. z.
Then, z + 120% of z = 550.
= z + 120/100 z = 550
= 11/5 z = 550
= (550 * 5)/11 = 250.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
- a)588 apples
- b)600 apples
- c) 672 apples
- d)700 apples
Correct answer is option 'D'. Can you explain this answer?
a)
588 apples
b)
600 apples
c)
672 apples
d)
700 apples
|
Harshitha Desai answered |
x-x(40/100)=420
x-40x/100=420
or, 60x/100=420
x=42000/60
x= 700
x-40x/100=420
or, 60x/100=420
x=42000/60
x= 700
If 20% of a = b, then b% of 20 is the same as:
- a)4% of a
- b)5% of a
- c)20% of a
- d) None of these
Correct answer is option 'A'. Can you explain this answer?
a)
4% of a
b)
5% of a
c)
20% of a
d)
None of these
|
Subham Basu answered |
20% of a = b => (20/100)a = b
b% of 20 =(b/100) x 20 = (20a/100) x (1/100) x (20) = 4a/100 = 4% of a.
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
- a)2700
- b)2900
- c)3000
- d)3100
Correct answer is option 'A'. Can you explain this answer?
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
a)
2700
b)
2900
c)
3000
d)
3100
|
Dhruv Mehra answered |
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
- a)1
- b)14
- c)20
- d)21
Correct answer is 'C'. Can you explain this answer?
a)
1
b)
14
c)
20
d)
21
|
Gowri Chakraborty answered |
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Required percentage = (14/70 * 100)% = 20%
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
- a)1
- b)14
- c)20
- d)21
Correct answer is option 'C'. Can you explain this answer?
a)
1
b)
14
c)
20
d)
21
|
Nitya Reddy answered |
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for Percentages under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:- a)39, 30
- b)41, 32
- c)42, 33
- d)43, 34
Correct answer is option 'C'. Can you explain this answer?
Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for Percentages under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Q. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
a)
39, 30
b)
41, 32
c)
42, 33
d)
43, 34
|
Raghavendra Sharma answered |
Let their marks be (x+9) and x.
Then, x+9 = 56/100(x + 9 +x)
=> 25(x+9)
=> 14 (2x + 9)
=> 3x = 99
=> x = 33.
So, their marks are 42 and 33
If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is
- a)3.5
- b)2
- c)2.5
- d)3
Correct answer is option 'D'. Can you explain this answer?
If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is
a)
3.5
b)
2
c)
2.5
d)
3
|
Glance Learning Institute answered |
Let the alloy contain x Kg silver and y kg copper
Now when mixed with 3Kg Pure silver
we get 10x+30 =9x+9y+27
9y-x=3 (1)
Now as per condition 2
silver in 2nd alloy = 2(0.9) =1.8
we get 21y-4x =3 (2)
solving (1) and (2) we get y= 0.6 and x =2.4
so x+y = 3
Now when mixed with 3Kg Pure silver
we get 10x+30 =9x+9y+27
9y-x=3 (1)
Now as per condition 2
silver in 2nd alloy = 2(0.9) =1.8
we get 21y-4x =3 (2)
solving (1) and (2) we get y= 0.6 and x =2.4
so x+y = 3
If A = x% of y and B = y% of x, then which of the following is true?
- a)A is smaller than B
- b)A is greater than B
- c)Relationship between A and B cannot be determined
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
a)
A is smaller than B
b)
A is greater than B
c)
Relationship between A and B cannot be determined
d)
None of these
|
Sagar Sharma answered |
Explanation:
To determine the relationship between A and B, we need to understand the meaning of "x% of y" and "y% of x".
- "x% of y" means x% times y, which can be expressed as (x/100) * y.
- "y% of x" means y% times x, which can be expressed as (y/100) * x.
Let's substitute these expressions into the given equations:
A = (x/100) * y
B = (y/100) * x
Comparing A and B:
To compare A and B, we can simplify the expressions:
A = (x/100) * y = xy/100
B = (y/100) * x = xy/100
As we can see, A and B have the same value, xy/100. Therefore, A is equal to B.
Conclusion:
From the given equations and the comparison of A and B, we can conclude that A is equal to B. None of the given options (a, b, or c) is true.
Therefore, the correct answer is option 'D' - None of these.
To determine the relationship between A and B, we need to understand the meaning of "x% of y" and "y% of x".
- "x% of y" means x% times y, which can be expressed as (x/100) * y.
- "y% of x" means y% times x, which can be expressed as (y/100) * x.
Let's substitute these expressions into the given equations:
A = (x/100) * y
B = (y/100) * x
Comparing A and B:
To compare A and B, we can simplify the expressions:
A = (x/100) * y = xy/100
B = (y/100) * x = xy/100
As we can see, A and B have the same value, xy/100. Therefore, A is equal to B.
Conclusion:
From the given equations and the comparison of A and B, we can conclude that A is equal to B. None of the given options (a, b, or c) is true.
Therefore, the correct answer is option 'D' - None of these.
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?- a)Rs. 15
- b)Rs. 15.70
- c)Rs. 19.70
- d)Rs. 20
Correct answer is option 'C'. Can you explain this answer?
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
a)
Rs. 15
b)
Rs. 15.70
c)
Rs. 19.70
d)
Rs. 20
|
|
Raghavendra Sharma answered |
If A is increased by 10%, by what per cent does A2 increase?- a)20%
- b)21%
- c)100%
- d)10%
Correct answer is option 'B'. Can you explain this answer?
If A is increased by 10%, by what per cent does A2 increase?
a)
20%
b)
21%
c)
100%
d)
10%
|
Sushil Kumar answered |
If A is increased by 10%, i.e. A1 = 1.1A
∴ A12= (1.1) A = 1.21A2
∴ A2 increases by 21%.
∴ A12= (1.1) A = 1.21A2
∴ A2 increases by 21%.
If A’s income is 25% more than B’s, then what is B’s income as a percentage of A’s income?- a)75%
- b)80%
- c)90%
- d)125%
Correct answer is option 'B'. Can you explain this answer?
If A’s income is 25% more than B’s, then what is B’s income as a percentage of A’s income?
a)
75%
b)
80%
c)
90%
d)
125%
|
|
Sushil Kumar answered |
A’s income = 1.25 B’s income.
B’s income = 1/25 A’s income = 80% of A’s income.
B’s income = 1/25 A’s income = 80% of A’s income.
If the length and breadth of a rectangle are decreased by 10%, then by what per cent does the area decrease?- a)19%
- b)25%
- c)10%
- d)20%
Correct answer is option 'A'. Can you explain this answer?
If the length and breadth of a rectangle are decreased by 10%, then by what per cent does the area decrease?
a)
19%
b)
25%
c)
10%
d)
20%
|
|
Sushil Kumar answered |
Length becomes 0.9L.
Breadth becomes 0.9B.
Area = 0.9L x 0.9B = 0.81LB.
∴ Area decreases by 19%.
Breadth becomes 0.9B.
Area = 0.9L x 0.9B = 0.81LB.
∴ Area decreases by 19%.
What is 30% of 55% of 100?- a)25
- b)85
- c)16.5
- d)11.5
Correct answer is option 'C'. Can you explain this answer?
What is 30% of 55% of 100?
a)
25
b)
85
c)
16.5
d)
11.5
|
|
Sushil Kumar answered |
30% of 55% of 100 = 30% of 55 = 16.5
Which is the largest?- a)
- b)
- c)0.65
- d)
Correct answer is option 'A'. Can you explain this answer?
Which is the largest?
a)
b)
c)
0.65
d)
|
|
Sushil Kumar answered |
(i)
(ii)
(iii) 0.65 = 65%,
(iv)
Hence option (a).
(ii)
(iii) 0.65 = 65%,
(iv)
Hence option (a).
A?
The price of rice increased from Rs. 15 by 15% and then reduced by 30 paise. What was the net increase?- a)10%
- b)12%
- c)13%
- d)28%
Correct answer is option 'C'. Can you explain this answer?
The price of rice increased from Rs. 15 by 15% and then reduced by 30 paise. What was the net increase?
a)
10%
b)
12%
c)
13%
d)
28%
|
|
Sushil Kumar answered |
Price of rice after 15% increase
= 1.15 x 15 = Rs. 17.25
After 30 paise reduction, price = Rs.16.95
Net increase =
= 1.15 x 15 = Rs. 17.25
After 30 paise reduction, price = Rs.16.95
Net increase =
In an examination the passing percentage is 40. A obtained 72 out of 200. By what percentage of the total marks did he fail?- a)8%
- b)5%
- c)4%
- d)16%
Correct answer is option 'C'. Can you explain this answer?
In an examination the passing percentage is 40. A obtained 72 out of 200. By what percentage of the total marks did he fail?
a)
8%
b)
5%
c)
4%
d)
16%
|
|
Sushil Kumar answered |
40% of 200 = 80
He obtained 72, i.e. he failed by 8 marks.
Percentage by which he failed =
He obtained 72, i.e. he failed by 8 marks.
Percentage by which he failed =
What is y as a percentage of x, if x is 120% of y?- a)80%
- b)83.33%
- c)75%
- d)86.66%
Correct answer is option 'B'. Can you explain this answer?
What is y as a percentage of x, if x is 120% of y?
a)
80%
b)
83.33%
c)
75%
d)
86.66%
|
|
Sushil Kumar answered |
If x = 120% of y, then y = 
of x = 83.33% of x.
of x = 83.33% of x.If 20% of a number exceeds 16% of the same number by 16, what is the number?- a)400
- b)40
- c)4000
- d)160
Correct answer is option 'A'. Can you explain this answer?
If 20% of a number exceeds 16% of the same number by 16, what is the number?
a)
400
b)
40
c)
4000
d)
160
|
|
Sushil Kumar answered |
Let the number be n.
Then 20% of n – 16% of n = 16
0.2n – 0.16n = 16 or 0.04n = 16
⇒ n = 400
Then 20% of n – 16% of n = 16
0.2n – 0.16n = 16 or 0.04n = 16
⇒ n = 400
Chapter doubts & questions for Percentages - General Test Preparation for CUET UG 2025 is part of CUET Commerce exam preparation. The chapters have been prepared according to the CUET Commerce exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for CUET Commerce 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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