Percentage problems
- 1. If the price of petrol is increased by 20%, by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged?
Options- A. 162/3
- B. 62/3
- C. 8%
- D. 15% Discuss
Correct Answer: 162/3
Explanation:
Required decrease in consumption = [a/(100 + a)] x 100%
= [20/(100 + 20)] x 100%
= (20/120) x 100%
= 162/3%
- 2. In a company , there are 724 employees. 25% employees left the
job. Find the number of rest of employees.
Options- A. 543
- B. 550
- C. 578
- D. 565 Discuss
Correct Answer: 543
Explanation:
Number of employees leaving job
= 25% of 724 = (1/4) x 724 = 181
? Number of rest of the employees
= 724 - 181 = 543
- 3. An agent sells goods of value of ? 15000. The commission which he receives at the ration of 12 1/ 2%, is
Options- A. ?1875
- B. ?2125
- C. ?2000
- D. ?2700 Discuss
Correct Answer: ?1875
Explanation:
Agent receives commission of the rate = 121/2%
Total value of goods sold = ? 15000
? Agent's commission = 121/2% of 15000
= [(25/2) x 15000] /100
= ? 1875
- 4. The price of certain article is ? 15000. But due to slump in the market, its price decreased by 8%. Find the new price of the article.
Options- A. ? 14000
- B. ? 13800
- C. ? 16500
- D. ? 12600 Discuss
Correct Answer: ? 13800
Explanation:
Given that, P = ? 15000, and Q = 8
According to the formula,
Required new price = [(100 - Q)/100] x P
= [(100 - 8)/100] x 15000
= (92/100) x 15000
= ? 13800
- 5. A man losses 20% of his money. After sending 25 % of the remainder, he has ? 480 left. What is the amount of money he originally had?
Options- A. ? 600
- B. ? 720
- C. ? 800
- D. ? 840 Discuss
Correct Answer: ? 800
Explanation:
Let a man have = ? N.
Remainder money, after losses 20% of his money
= N - 20% of N
= N - (N x 20)/100
= (5N - N)/5
= 4N/5
Remainder money, after spending 25% of his remainder money
= 4N/5 - 25% of (4N/5)
= 4N/5 - (4N/5) x (25/100)
= 4N/5 - N/5
= (4N - N)/5
= 3N/5
According to the question,
3N/5 = 480
? x = 480 x 5/3 = ? 800
- 6. 12 of 26% of 5/78 of 38% of 7/152 of 10000 =?
Options- A. 38
- B. 35
- C. 41
- D. 52 Discuss
Correct Answer: 35
Explanation:
Ans = 12 x (26/100) x (5/78) x (38/100) x (7/152) x 10000
= 12 x (5/3) x (7/4)
= 35
- 7. In an examination, the marks obtained by Shantanu is 40% less than the marks obtained by Kamal, then marks obtained by Kamal is how much per cent more than the marks obtained by Shantanu?
Options- A. 552/3 %
- B. 443/5 %
- C. 331/3 %
- D. 662/3 % Discuss
Correct Answer: 662/3 %
Explanation:
Let kamal's marks be 100
? Shantanu's marks = 60
Kamal has 40 marks more than Shantanu
? Required percentage = (40/60) x 100%
= 662/3 %
- 8. Because of scarcity of rainfall, the price of a land decrease by 12% and its production also decrease by 4%. What is the total effect on revenue?
Options- A. Loss of 16%
- B. Gain of 15%
- C. Loss of 15.48%
- D. Gain of 15.48% Discuss
Correct Answer:
Explanation:
Net effect = [- 12 - 4 + {(-12) (-4)/100}]%
= (-16 + 0.48)%
= -15.52%
- 9. Mangulal a shopkeeper, marks the prices of his goods at 20% higher than the original price. After that he allows a discount of 5%. What profit or loss did he get?
Options- A. 14% (profit)
- B. 14% (loss)
- C. 16% (loss)
- D. 16% (profit) Discuss
Correct Answer: 14% (profit)
Explanation:
Given that, a = 20% and b = 5%
According to the formula
Required percentage = [20 - 5 - {20 x (5/100)}% = 14%
- 10. The prices of sugar is incerased by 25%. If a family wants to keep its expenses on sugar unaltered, then the family will have to reduce the consumption of sugar by
Options- A. 20%
- B. 21%
- C. 22%
- D. 25% Discuss
Correct Answer: 20%
Explanation:
Let original price be ? 100
Then, increased price = ? 125
? Reduction in consumption
= [(125 - 100)/125 ] x 100%
= (25/125) x 100 %
= 20%
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