Percentage problems
- 1. The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by?
Options- A. 331/3%
- B. 371/2%
- C. 40%
- D. 45% Discuss
Correct Answer: 371/2%
Explanation:
Let original price = Rs. 100
? Increase price = Rs. 160
? Decrease on Rs. 160 = Rs. 60
? Decrease on Rs. 100 = (60/160) x 100 % = 371/2%
- 2. One litre of water is evaporated from 6 litre of a solution containing 5% salt. The percentage of salt?
Options- A. 44/19%
- B. 55/7%
- C. 5%
- D. 6% Discuss
Correct Answer: 6%
Explanation:
Salt in 6 liter = 5% of 6 = 0.30 liter
Salt in new solution = (0.30/5) x 100% = 6%
- 3. ? (3.6% of 40) is equal to?
Options- A. 2.8
- B. 1.8
- C. 1.2
- D. None of these Discuss
Correct Answer: 1.2
Explanation:
?(3.6/100) x 40
= ?1.44 = 1.2
- 4. A student is required to secure at least 50% marks in order to pass an examination. He secured 50 marks which were less than the minimum passing marks by 50. The maximum marks of the paper are?
Options- A. 200
- B. 250
- C. 275
- D. 300 Discuss
Correct Answer: 200
Explanation:
Minimum passing marks = 50 + 50 = 100
Let the total marks = x
Then, 50% of x = 100
? x = (100/50) x 100 = 200
- 5. Two numbers X and Y are respectively 30% and 35% less than a third number Z . By what percentage is the number Y less than that of the number X?
Options- A. 30%
- B. 15%
- C. 71/7%
- D. 20% Discuss
Correct Answer: 71/7%
Explanation:
Let Z = 100, X = 100 - 30 = 70
Y = 100 - 35 = 65
? Y is less by X = (70 - 65)/70 x 100%
= 5/70 x 100% = 71/7 %
- 6. A furniture seller sells two tables at ? 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is?
Options- A. 4% loss
- B. 4% profit
- C. 10% loss
- D. 10% profit Discuss
Correct Answer: 4% loss
Explanation:
Profit or loss percent = ab/100 %
= (20 x 20)/100 %
= -4%
- 7. What is 5% of 50% of 500?
Options- A. 12.5
- B. 25
- C. 1.25
- D. 6.25 Discuss
Correct Answer: 12.5
Explanation:
5% of 50% of 500
= (5/100) x (50/100) x 500
= 12.5
- 8. if 20% of N = 90, find N.
Options- A. 350
- B. 450
- C. 250
- D. 550 Discuss
Correct Answer: 450
Explanation:
20% of N =90
? N x (20/100) = 90
? N = 90 x 5 = 450
- 9. 89% of? + 365 = 1075.22
Options- A. 798
- B. 897
- C. 898
- D. 752 Discuss
Correct Answer: 798
Explanation:
89% of ? + 365 = 1075.22
? (89/100) x ? = 1075.22 - 365
? ? = 71022/89 = 798
- 10. If 15% of A is equal to 20% of B, then 25% of A is equal to what per cent of B?
Options- A. 30%
- B. 331/3 %
- C. 35%
- D. 25% Discuss
Correct Answer: 331/3 %
Explanation:
Given, P = 15, Q = 20 and R = 25
According to the formula
R% of A = [(QR)/P]% of B
25% of A = (20 x 25)/15 % of B
= 100/3 % of B
= 331/3 % of B
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