**Quantitative aptitude questions on percentages with solutions**

1.A reduction of 10% in price of sugar enables a housewife to buy 5 kg more for Rs. 300/-. Find the reduced price per kg of sugar.

a. 5/-

b. 4.5/-

c. 6/-

d. None

**answer**:Total money = Rs. 300.

Saving of the lady = 10% of 300 = 30/-

With 30/- she bought 5 kg sugar => each kg costs Rs. 6/-

2. From a 20lt solution of alt and water with 20% salt, 2lt of water is evaporated. Find the new % concentration of salt

a. 20%

b. 23%

c. 25%

d. None

Answer:In 20lt, salt = 20% => 4 lt.

New volume = 18 lt (2 lt evaporated)

So, new % = 4/18 X 100 = 22.22%

3. In a list of weights of candidates appearing for police selections, the weight of A is marked as 58 kg instead of 46.4 kg. Find the percentage of correction required.

a. 30

b. 20

c. 24

d. None

**answer:**% correction = (58-46.4)/58 X 100 = 20%

4. A person spends 20% of his income on rent, 20% of the rest on food, 10% of the remaining on clothes and 10% on groceries. If he is left with Rs. 9520/- find his income.

a. 10000/-

b. 15000/-

c. 20000/-

d. None

**Answer**:Three successive decreases of 20%, 20% and 10% => 0.8 X 0.8 X 0.9 = 0.576

Again 10% decrease => 0.576 – 0.1 = 0.476.

So, 0.476 x = 9520 => x = 20000

5. A shopkeeper offers three successive discounts of 10%, 20% and 30% to a customer. If the actual price of the item is Rs. 10000, find the price the custome has to pay to the shopkeeper.

a. 5040/-

b. 4000/-

c. 6000/-

d. None

Answer:Total discount = 0.9 X 0.8 X 0.7 = 0.504 of actual price.

So, price = 0.504 X 10000 = 5040

6. If 10lt solution of water and alcohol containing 10% alcohol is to be made 20% alcohol solution, find the volume of alcohol to be added.

a. 1 lt

b. 1.25 lt

c. 1.5 lt

d. 2 lt

7. A is twice B and B is 200% more than C. By what percent is A more than C?

a. 400

b. 600

c. 500

d. 200

8. In an examination, a student secures 40% and fails by 10 marks. If he scored 50%, he would pass by 15 marks. Find the minimum marks required to pass the exam.

a. 250

b. 100

c. 110

d. 125

9. If A is 20% taller than B, by what percent is B shorter than A?

a. 20%

b. 25%

c. 16.66%

d. None

10. The population of a town increases at a rate of 10% for every year. If the present population is 12100, find the population two years ago.

a. 11000

b. 9800

c. 10000

d. 10120

11. A solution of salt and water contains 15% salt. If 30 lt water is evaporated from the solution the concentration becomes 20% salt. Find the original volume of the liquid before water evaporated.

a. 100 lt

b. 120 lt

c. 200 lt

d. None

12. If 240 lt of oil is poured into a tank, it is still 20% empty. How much more oil is to be poured to fill the tank?

a. 300 lt

b. 60 lt

c. 120 lt

d. None

13. A and B were hired for the same salary. A got two 40% hikes whereas B got a 90% hike. What is the percentage difference in the hikes thay got?

a. 16%

b. 6%

c. 10%

d. 8%

14. The population of a town doubled every 5 years from 1960 to 1975. What is the percentage increase in population in this period?

a. 800

b. 400

c. 700

d. 600

15. In a test of 80 questions, Jyothsna answered 75% of the first 60 questions correctly. What % of the remaining questions she has to answer correctly so that she can secure an overall percentage of 80 in the test?

a. 80%

b. 90%

c. 85%

D. 95%

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