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

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) $1,24,200$

B) $1,25,400$

C) $1,26,000$

D) $1,22,800$

Answer

Correct Answer: B

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.

A) $22,500$

B) $30,000$

C) $25,000$

D) $28,400$

Answer

Correct Answer: C

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 $\implies$ Loser got $46\%$ of valid votes. Difference = $54\% - 46\% = 8\%$ of valid votes. $$0.08 \times 0.81x = 1,620$$

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) $40\%$

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) $400$

B) $450$

C) $600$

D) $500$

Answer

Correct Answer: D

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) $8.5$ kg

B) $10$ kg

C) $9$ kg

D) $10.5$ kg

Answer

Correct Answer: B

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) $60$ g

B) $75$ g

C) $80$ g

D) $100$ g

Answer

Correct Answer: C

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: A

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

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) $₹ 18,000$

B) $₹ 22,000$

C) $₹ 25,000$

D) $₹ 20,000$

Answer

Correct Answer: D

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) $10\%$ increase

B) $8\%$ increase

C) $8\%$ decrease

D) $12\%$ increase

Answer

Correct Answer: B

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) $₹ 50,000$

B) $₹ 55,000$

C) $₹ 60,000$

D) $₹ 65,000$

Answer

Correct Answer: C

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: A

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: $50\%$

Competitive Exams : Quantitative Aptitude - Percentage (Set 3) | Concept of Maths

Competitive Exams : Quantitative Aptitude - Percentage (Set 3) | Concept of Maths

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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.

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

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?

Competitive Exams : Quantitative Aptitude - Percentage (Set 3) | Concept of Maths

Competitive Exams : Quantitative Aptitude - Percentage (Set 3) | Concept of Maths

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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.