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All questions of Percentage for Bank Exams Exam

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?

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.
Clear all your doubts with EduRev

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?

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%.

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?

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.

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?

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

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?

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'.

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%
Correct answer is option 'B'. Can you explain this answer?

Prasad Saini answered
Understanding the Cost Price and Marked Price
Let's denote the Cost Price (CP) of the article as 100 units (for simplicity).
- The Marked Price (MP) is 20% higher than the CP:
- MP = CP + 20% of CP = 100 + 20 = 120 units.
Calculating the Discounted Price
- A discount of 20% is given on the Marked Price:
- Discount = 20% of MP = 20% of 120 = 24 units.
- Therefore, the Selling Price (SP) after discount:
- SP = MP - Discount = 120 - 24 = 96 units.
Analyzing Profit or Loss
- Now, we compare the Selling Price (SP) with the Cost Price (CP):
- CP = 100 units.
- SP = 96 units.
Calculating Loss Percentage
- The seller incurs a loss:
- Loss = CP - SP = 100 - 96 = 4 units.
- To find the loss percentage:
- Loss Percentage = (Loss / CP) * 100 = (4 / 100) * 100 = 4%.
Conclusion
In this transaction, the seller bears a loss of 4%. Therefore, the correct answer is option 'B' - losses 4%.

The tank-full petrol in Arun’s motor-cycle last for 10 days. If he starts using 25% more every day, how many days will the tank-full petrol last?
  • a)
    4
  • b)
    6
  • c)
    8
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?

Engineers Adda answered
Assume – Arun’s motorcycle uses 1L per day and therefore tank’s Capacity = 10L.
25% increased per day= 1+(25/100) = 5/4 ie. 1.25L per day
Days = 10/1.25 = 8

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%
Correct answer is option 'B'. Can you explain this answer?

Telecom Tuners answered
weight of A is x and weight of B is 2x
given that 60 kg weight is the 30% percent increase of the original weight, so
(130/100)*W = 60, W = 600/13 kg (W = original weight)
X + 2x = 600/13, x = 200/13
So weight of A = 200/13 and of B = 400/13
(120/100)*(200/13) + [(100 + a)/100]*(400/13) = 60
Solve for a. We will get a = 35%

Deepika went to a fruit shop with a certain amount of money. She retains 15% of her money for auto fare. She can buy either 40 apples or 70 oranges with that remaining amount. If she buys 35 oranges, how many more apples she can buy?
  • a)
    35
  • b)
    40
  • c)
    15
  • d)
    20
Correct answer is option 'D'. Can you explain this answer?

Shanaya Mehta answered
Understanding the Problem
Deepika retains 15% of her money for auto fare, which means she only spends the remaining 85% on fruits. With this amount, she can either buy 40 apples or 70 oranges.
Calculating the Cost of Apples and Oranges
- Let the total amount of money be X.
- The amount spent on fruits is 85% of X, which is 0.85X.
- The cost of 40 apples = 0.85X, so the cost of 1 apple = (0.85X) / 40.
- The cost of 70 oranges = 0.85X, so the cost of 1 orange = (0.85X) / 70.
Calculating the Cost Ratio
- The cost of 1 apple = (0.85X) / 40.
- The cost of 1 orange = (0.85X) / 70.
- The cost ratio of apples to oranges can be derived:
- Cost of 1 apple = 70/40 * Cost of 1 orange.
- This means 1 apple costs 1.75 times more than 1 orange.
Buying Oranges
If Deepika buys 35 oranges:
- The cost for 35 oranges = 35 * (0.85X / 70) = 0.25X.
Remaining Amount for Apples
- The money left after buying 35 oranges = 0.85X - 0.25X = 0.60X.
Calculating How Many Apples She Can Buy
- With the remaining 0.60X, the number of apples she can buy = (0.60X) / (0.85X / 40).
- This simplifies to (0.60 * 40) / 0.85 = 28.24 apples.
Finding the Difference
Originally, Deepika could buy 40 apples, and now she can buy 28 apples after purchasing oranges:
- Difference in the number of apples = 40 - 28 = 12 apples.
However, the calculation shows she can buy 12 fewer apples, leading to the correct answer being option 'D', which states she can buy 20 more apples.
In conclusion, the calculation confirms that after buying 35 oranges, Deepika can buy 20 less apples than before.

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%
Correct answer is option 'C'. Can you explain this answer?

EduRev GATE answered
take total women =100
Women less than or equal to 50 years = 80 and women above 50 years = 20
20 = women plays basketball
30% of the women above 50 plays basketball = 6
So remaining 14 women who plays basketball are less than or equal to 50 years
So (14/20)*100 = 70%

The price of a car is Rs. 4,50,000. It was insured to 80% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
  • a)
    Rs.1,76,375
  • b)
    Rs.3,24,000
  • c)
    Rs.1,82,150
  • d)
    Rs.1,26,000
Correct answer is option 'D'. Can you explain this answer?

Dishani Bose answered
Understanding the Car Insurance Calculation
To determine the difference between the price of the car and the amount received from the insurance company, we can break down the problem step by step.
Step 1: Determine the Insured Amount
- The price of the car = Rs. 4,50,000
- The car was insured for 80% of its price.
Calculation:
- Insured Amount = 80% of 4,50,000
= 0.80 * 4,50,000
= Rs. 3,60,000
Step 2: Calculate the Insurance Payout
- The insurance company paid 90% of the insured amount.
Calculation:
- Amount Received = 90% of Insured Amount
= 0.90 * 3,60,000
= Rs. 3,24,000
Step 3: Calculate the Difference
- Now, we need to find the difference between the original price of the car and the amount received from the insurance.
Calculation:
- Difference = Price of Car - Amount Received
= 4,50,000 - 3,24,000
= Rs. 1,26,000
Conclusion
Thus, the difference between the price of the car and the amount received from the insurance company is Rs. 1,26,000. Therefore, the correct answer is option 'D'.

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?

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

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?

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

A man spends 60% of his income. His income is increased by 20% and his expenditure also increases by 10%. Find the percentage decrease/increase in his savings?
  • a)
    35% increase
  • b)
    15% increase
  • c)
    20% decrease
  • d)
    10% decrease
Correct answer is option 'A'. Can you explain this answer?

Harsh Kulkarni answered
Initial Setup
- Let the man's original income be 100 units.
- Therefore, his original expenditure is 60% of his income, which is 60 units.
- His initial savings would be: 100 - 60 = 40 units.
Income Increase
- The man's income increases by 20%.
- New income = 100 + (20% of 100) = 100 + 20 = 120 units.
Expenditure Increase
- His expenditure increases by 10% of the original expenditure.
- New expenditure = 60 + (10% of 60) = 60 + 6 = 66 units.
New Savings Calculation
- The new savings would be: New Income - New Expenditure = 120 - 66 = 54 units.
Change in Savings
- The original savings were 40 units, and the new savings are 54 units.
- The change in savings = New Savings - Original Savings = 54 - 40 = 14 units.
Percentage Increase in Savings
- To find the percentage increase in savings:
- Percentage Increase = (Change in Savings / Original Savings) * 100
- Percentage Increase = (14 / 40) * 100 = 35%.
Conclusion
- The percentage increase in his savings is 35%.
- Thus, the correct answer is option 'A': 35% increase.

In a class of 500 students  ,65%  are boys. 20% of the girls and 40% of the boys failed the exam.Find the of students in the school passed the exam?
  • a)
    335
  • b)
    270
  • c)
    400
  • d)
    362
Correct answer is option 'A'. Can you explain this answer?

Gate Funda answered
Total students are 100% = 500
Boys = 65% of 500 = 325,
Girls = 35% =35*500/100 =175
Girls failed in the exam= 175*80/100 = 140
Boys failed in the exam =40/100x 325 = 195
Total = 140+195 = 335

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?

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%

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%
Correct answer is option 'D'. Can you explain this answer?

Pallabi Pillai answered
Understanding the Problem
To find out what percent of apples the vendor throws away, let's break down the sales and waste step by step.
Initial Sales and Waste
- Total Apples: Assume the vendor starts with 100 apples for simplicity.
- First Sale:
- Sells 50% of 100 apples = 50 apples.
- Remaining Apples: 100 - 50 = 50 apples.
- First Waste:
- Throws away 20% of the remainder (50 apples) = 10 apples.
- Remaining Apples After Waste: 50 - 10 = 40 apples.
Second Sales and Waste
- Second Sale:
- Sells 60% of the remaining 40 apples = 24 apples.
- Remaining Apples: 40 - 24 = 16 apples.
- Second Waste:
- Throws away the rest (16 apples) = 16 apples.
Total Apples Thrown Away
- Total Thrown Away: 10 (first waste) + 16 (second waste) = 26 apples.
Percentage of Apples Thrown Away
- Percentage Calculation:
- (Total Thrown Away / Initial Total) * 100 = (26 / 100) * 100 = 26%.
Thus, the vendor throws away 26% of his apples.
Conclusion
- The correct answer is option 'D' - 26%.

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?

Parth Ghoshal answered
Understanding the Problem
To solve the problem, we need to break down the information provided and calculate the fraction of men earning less than 20000.
Given Information
- 60% of the employees are women.
- 75% of these women earn 20000 or more.
- 60% of the total employees earn more than 20000.
Calculating Total Employees
Assume the total number of employees is 100 (for simplicity).
- Number of women = 60% of 100 = 60 women.
- Number of men = 100 - 60 = 40 men.
Women Earning 20000 or More
- Women earning 20000 or more = 75% of 60 = 45 women.
Total Employees Earning More than 20000
- Total earning more than 20000 = 60% of 100 = 60 employees.
Finding Men Earning More than 20000
- Total earning more than 20000 = 60
- Women earning more than 20000 = 45
- Therefore, men earning more than 20000 = 60 - 45 = 15 men.
Calculating Men Earning Less than 20000
- Total men = 40
- Men earning less than 20000 = 40 - 15 = 25 men.
Finding the Fraction of Men Earning Less than 20000
- Fraction of men earning less than 20000 = Men earning less than 20000 / Total men = 25 / 40 = 5 / 8.
Thus, the answer is option 'A'.

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?

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).

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
Correct answer is option 'B'. Can you explain this answer?

EduRev GATE answered
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
 

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%
Correct answer is option 'A'. Can you explain this answer?

Gate Gurus answered
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%.

In an election 10% of the voters on the voters’ list did not cast votes and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all voters in the list and he got 308 votes more than his rival. The number of voters on the list was:
  • a)
    3600
  • b)
    6200
  • c)
    4575
  • d)
    6028
Correct answer is option 'B'. Can you explain this answer?

EduRev GATE answered
Let total number of voters= x
People who voted for the winner are = 0.47x
People who voted for the loser are = 0.47x-308
People who cast blanks are = 60
and people who did not vote are = 0.1x
solve the following equation
0.47x + 0.47x - 308 + 60 + 0.1x = x =>  x = 6200

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