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%
****note-please post correct answers
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%
****note-please post correct answers
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