Question 1

1. The population of a industrial town was 1,20,000 two years ago. If it increased by 10% in the first year and decreased by 5% in the second year due to migration, what is the current population of the town?

A) 1,24,200B) 1,25,400C) 1,26,000D) 1,22,800

Answer

✓ Correct Answer: Option B

Explanation: Solution: Initial population = 1,20,000 Population after 1st year: $1,20,000 \times (1 + \frac{10}{100}) = 1,20,000 \times 1.1 = 1,32,000$ Population after 2nd year: $1,32,000 \times (1 - \frac{5}{100}) = 1,32,000 \times 0.95 = 1,25,400$ Final Answer: 1,25,400

Question 2

2. In an election between two candidates, 10% of the voters did not cast their votes and 10% of the votes cast were found invalid. The winning candidate got 54% of the valid votes and won by a majority of 1,620 votes. Find the total number of voters enrolled in the voter list.

Question 3

3. A person spends 75% of his income. If his income increases by 20% and his expenditure increases by 10%, then by what percentage do his savings increase?

A) 50%B) 40%C) 35%D) 60%

Answer

✓ Correct Answer: Option A

Explanation: Solution: Let Income = 100. Expenditure = 75, Savings = 25. New Income = $100 \times 1.20 = 120$. New Expenditure = $75 \times 1.10 = 82.5$. New Savings = 120 - 82.5 = 37.5. Increase in savings = 37.5 - 25 = 12.5. Percentage increase = $(\frac{12.5}{25}) \times 100 = 50%$. Final Answer: 50%

Question 4

4. In a competitive exam, Candidate A scored 30% marks and failed by 15 marks. Candidate B scored 40% marks and obtained 35 marks more than the minimum passing marks. What are the total maximum marks of the exam?

A) 400B) 450C) 600D) 500

Answer

✓ Correct Answer: Option D

Explanation: Solution: Difference in percentage = 40% - 30% = 10%. Difference in marks = 35 - (-15) = 35 + 15 = 50. So, 10% of Total Marks = 50. Total Marks (100%) = $50 \times 10 = 500$. Final Answer: 500

Question 5

5. The price of sugar is increased by 32%. A family reduces its consumption so that the expenditure of the family on sugar is increased by only 10%. If the total consumption of sugar before the price rise was 12 kg per month, then the consumption of sugar per month at present is:

A) 8.5 kgB) 10 kgC) 9 kgD) 10.5 kg

Answer

✓ Correct Answer: Option B

Explanation: Solution: Expenditure = Price $\times$ Consumption. Let initial price be 100 and initial consumption be 12 kg. Initial Exp = 1200. New Price = 132. New Exp = $1200 \times 1.10 = 1320$. New Consumption = $\frac{1320}{132} = 10$ kg. Final Answer: 10 kg

Question 6

6. 400 grams of sugar solution has 40% sugar in it. How much sugar (in grams) should be added to make it 50% in the solution?

A) 60 gB) 75 gC) 80 gD) 100 g

Answer

✓ Correct Answer: Option C

Explanation: Solution: Initial sugar = $400 \times 0.40 = 160$ g. Initial water = 400 - 160 = 240 g. Let x grams of sugar be added. New total mass = 400 + x. New sugar mass = 160 + x. $$\frac{160 + x}{400 + x} = \frac{50}{100} = \frac{1}{2}$$

Question 7

7. If the income tax is increased by 19%, the net income is reduced by 1%. The rate of income tax is:

A) 5%B) 4%C) 6%D) 7.5%

Answer

✓ Correct Answer: Option A

Explanation: Solution: Decrease in Net Income = Increase in Tax Paid. 1% of Net Income = 19% of Tax. $$\frac{Tax}{Net Income} = \frac{1}{19}$$

Question 8

8. A man spends 20% of his salary on house rent, 15% of the remaining on food and 20% of the remaining on clothes. If he is left with ₹10,880, what is his total salary?

A) ₹18,000B) ₹22,000C) ₹25,000D) ₹20,000

Answer

✓ Correct Answer: Option D

Explanation: Solution: Let total salary be x. Remaining after rent = $x \times 0.80$ Remaining after food = $(0.80x) \times 0.85 = 0.68x$ Remaining after clothes = $(0.68x) \times 0.80 = 0.544x$ $0.544x = 10,880$

Question 9

9. If the length of a rectangle is increased by 20% and its breadth is decreased by 10%, what is the net percentage change in its area?

A) 10% increaseB) 8% increaseC) 8% decreaseD) 12% increase

Answer

✓ Correct Answer: Option B

Explanation: Solution: Net change = $a + b + \frac{ab}{100}$ Here a = +20, b = -10. Net change = $20 - 10 + \frac{20 \times (-10)}{100}$ Net change = 10 - 2 = 8%. Positive result indicates an increase. Final Answer: 8% increase

Question 10

10. A salesman is allowed 12% commission on the total sales made by him and a bonus of 1% on the sales over ₹15,000. If his total earning is ₹7,650, find the total sales.

A) ₹50,000B) ₹55,000C) ₹60,000D) ₹65,000

Answer

✓ Correct Answer: Option C

Explanation: Solution: Let total sales be x. Commission = 12% of x = 0.12x. Bonus = 1% of (x - 15,000) where x > 15,000. Total Earning = 0.12x + 0.01(x - 15,000) = 7,650 $0.13x - 150 = 7,650$

Accepted Answer

✓ Correct Answer: Option C

Explanation: Solution: Let total voters be x. Votes cast = 0.90x Valid votes = $0.90 \times 0.90x = 0.81x$ Winner got 54% of valid votes ⇒ Loser got 46% of valid votes. Difference = 54% - 46% = 8% of valid votes. $$0.08 \times 0.81x = 1,620$$

Quantitative Aptitude: Percentage Quiz (Set 3) | Ranchi Ver 2.0

1. The population of a industrial town was 1,20,000 two years ago. If it increased by 10% in the first year and decreased by 5% in the second year due to migration, what is the current population of the town?

2. In an election between two candidates, 10% of the voters did not cast their votes and 10% of the votes cast were found invalid. The winning candidate got 54% of the valid votes and won by a majority of 1,620 votes. Find the total number of voters enrolled in the voter list.

3. A person spends 75% of his income. If his income increases by 20% and his expenditure increases by 10%, then by what percentage do his savings increase?

4. In a competitive exam, Candidate A scored 30% marks and failed by 15 marks. Candidate B scored 40% marks and obtained 35 marks more than the minimum passing marks. What are the total maximum marks of the exam?

5. The price of sugar is increased by 32%. A family reduces its consumption so that the expenditure of the family on sugar is increased by only 10%. If the total consumption of sugar before the price rise was 12 kg per month, then the consumption of sugar per month at present is:

6. 400 grams of sugar solution has 40% sugar in it. How much sugar (in grams) should be added to make it 50% in the solution?

7. If the income tax is increased by 19%, the net income is reduced by 1%. The rate of income tax is:

8. A man spends 20% of his salary on house rent, 15% of the remaining on food and 20% of the remaining on clothes. If he is left with ₹10,880, what is his total salary?

9. If the length of a rectangle is increased by 20% and its breadth is decreased by 10%, what is the net percentage change in its area?

10. A salesman is allowed 12% commission on the total sales made by him and a bonus of 1% on the sales over ₹15,000. If his total earning is ₹7,650, find the total sales.