Percentage problems
- 1. The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is?
Options- A. 8%
- B. 1%
- C. 20%
- D. 80% Discuss
Correct Answer: 20%
Explanation:
Let the business value change from A to B.
Then, 4% of A = 5% of B
? 4A/100 = 5B/100
? B = 4A/5
? change in business = (A - 4A/5) = A/5
Percentage slump in business = {(A/5)/A} x 100 % = 20%
- 2. One-third of 1206 is what percent of 134?
Options- A. 3
- B. 30
- C. 300
- D. None of these Discuss
Correct Answer: 300
Explanation:
Let one-third of 1206 is N% of 134.
? 1206/3 = (N x 134)/100
? N = (402 x 100) / 134 = 300
- 3. 96% of the population of a village is 23040. The total population of the village is?
Options- A. 32256
- B. 24000
- C. 24936
- D. 25640 Discuss
Correct Answer: 24000
Explanation:
? 96% of P = 23040
? P = (23040 x 100) / 96 = 24000
- 4. After deducting a commission of 5% a T.V. set costs Rs. 9595. Its gross value is?
Options- A. Rs. 10000
- B. Rs. 10074.75
- C. Rs. 10100
- D. None of these Discuss
Correct Answer: Rs. 10100
Explanation:
? 95% of gross value = 9595
? gross value = (9595 x 100)/95 = 10100
- 5. A man spends Rs. 3500 per month and saves 12 1/ 2% of his income. His monthly income is?
Options- A. Rs. 4400
- B. Rs. 4270
- C. Rs. 4000
- D. Rs. 3937.50 Discuss
Correct Answer: Rs. 4000
Explanation:
?871/2% of P = 3500
? {(175/2) x P} / 100 = 3500
? P = (3500 x 2 x 100) / 175 = 4000
- 6. A fruit seller had some apples. He sells 40% and still has 420 apples. Originally, he had?
Options- A. 588 apples
- B. 600 apples
- C. 672 apples
- D. 700 apples Discuss
Correct Answer: 700 apples
Explanation:
? 60% of N = 420
? N = (420 x 100)/60 = 700
- 7. A ore contains 12% copper. How many kg of ore are required to get 69 kg of copper?
Options- A. 424 kg
- B. 575 kg
- C. 828 kg
- D. 17362/3 kg Discuss
Correct Answer: 575 kg
Explanation:
&becaus 12% of W = 69
? W = (69 x 100) / 12 = 575 kg
- 8. In an examination 65% of the total examinees passed if the number of failures is 420 total number of examinees is?
Options- A. 567
- B. 693
- C. 1000
- D. 1200 Discuss
Correct Answer: 1200
Explanation:
35% of N = 420
? N = (420 x 100) / 35 = 1200
- 9. 75% of a number when added to 75 is equal to the number. The number is?
Options- A. 150
- B. 200
- C. 225
- D. 300 Discuss
Correct Answer: 300
Explanation:
75 + 75% of N = N
? N -3N/4 = 75
? N/4 = 75
? N = (75 x 4) = 300
- 10. What will be 80 percent of a number whose 200 percent is 90?
Options- A. 144
- B. 72
- C. 36
- D. None of these Discuss
Correct Answer: 36
Explanation:
? 200% of N = 90
? N = (90 x 100) / 200 = 45
? 80% of N = (80 x 45) / 100 = 36
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