Percentage problems
- 1. A number increased to 137 1/ 2% gives 33. The number is?
Options- A. 22
- B. 24
- C. 25
- D. 27 Discuss
Correct Answer: 24
Explanation:
? 1371/2% of N = 33
? {(275/2) x N} / 100 = 33
? N = (33 x 2 x 100) / 275 = 24
- 2. A number decreased to 72 1/ 2% gives 87. The number is?
Options- A. 58
- B. 110
- C. 120
- D. 135 Discuss
Correct Answer: 120
Explanation:
? 721/2% of N = 87
? {(145/2) x N} / 100 = 87
? N = (87 x 2 x 100) / 145 = 120
- 3. Two numbers are less than a third number by 30%and 37% respectively. How much percent is the second number less than the first?
Options- A. 3%
- B. 4%
- C. 7%
- D. 10% Discuss
Correct Answer: 10%
Explanation:
Let third number be N
Then, first number = 70% of N = 7N/10 and,
Second number = 63% of N = 63N/100
Difference = 7N/10 - 63N/100 = 7N/100
? Required percentage = (7N/100) x (10/7N) x 100 % = 10%
- 4. In a college election, a candidates secure 62% of the votes and is elected by majority of 144 votes. The total number of votes polled is?
Options- A. 600
- B. 800
- C. 925
- D. 1200 Discuss
Correct Answer: 600
Explanation:
? (62% of N - 38% of N) =144
? 24% of N = 144
? N = (144 x 100)/24 = 600
- 5. The price of sugar is increased by 20%. If the expenditure is not allowed to increased. Then ratio between the reduction in consumption and the original consumption?
Options- A. 1 : 3
- B. 1 : 4
- C. 1 : 6
- D. 1 : 5 Discuss
Correct Answer: 1 : 6
Explanation:
Reduction in consumption = (20/120) x 100% = 50/3%
? Reduction in consumption /Original consumption = (50/3) / 100 = 1/6 = 1 : 6
- 6. Water tax is increased by 20% but its consumption is decreased by 20%. Then the increase or decrease in the expenditure of the money is?
Options- A. No change
- B. 5% decrease
- C. 4% increased
- D. 4% decreased Discuss
Correct Answer: 4% decreased
Explanation:
Let tax = Rs. 100 and Consumption = 100 units
Original expenditure = Rs. (100 x 100) = 10000
New expenditure = Rs. (120 x 80) = Rs. 9600
? Decreased in expenditure = (400 x 100)/1000 % = 4%
- 7. 3 litres of water is added to 15 litres of a mixture of a 20% solution of alcohol in water. The strength of alcohol is now?
Options- A. 121/2%
- B. 162/3%
- C. 24%
- D. 16% Discuss
Correct Answer: 162/3%
Explanation:
Alcohol in 15 litres =(20 x 15)/100 litres = 3 litres
Now, alcohol in 18 litres = 3 litres
? strength of alcohal =(3/18) x 100 % = 162/3%
- 8. On deceasing the price of T.V. set by 30%. Its sale in increased by 20%. What is the effect on the revenue received by the shopkeeper?
Options- A. 10% increased
- B. 10% decreased
- C. 16% increased
- D. 16% decrease Discuss
Correct Answer: 16% decrease
Explanation:
Let price = Rs. 100, sale = 100
Then sale value = Rs. (100 x 100) = Rs. 10000
New sale value = Rs. (70 x 120) = Rs. 8400
Decrease% = (1600/10000) x 100 % = 16%
- 9. The population of a town is 8000. It increases by 10% during first year and by 20% during the second year. The population after 2 years will be?
Options- A. 10400
- B. 10560
- C. 10620
- D. None of these Discuss
Correct Answer: 10560
Explanation:
Population after 2 years
=8000(1 + 10/100) (1 + 20/100)
= (8000 x 11/10 x 6/5) = 10560
- 10. A papaya was planted 2 years ago. It increases at the rate of 20% every year. If at present, the height of the tree is 540 cm, what was it when the tree was planted?
Options- A. 324 cms
- B. 375 cms
- C. 400 cms
- D. 432 cms Discuss
Correct Answer: 375 cms
Explanation:
? 540 = H(1 + 20/100)2
? H = (540 x 5/6 x 5/6) = 375 cm
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.