Percentage problems
- 1. A fruit seller had some apples. He sells 40% apples 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:
Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
| ⟹ | 60 | x x = 420 |
| 100 |
| ⟹ x = | ❨ | 420 x 100 | ❩ = 700. |
| 60 |
- 2. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is ⅔ of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Options- A. 72
- B. 80
- C. 120
- D. 150
- E. 100 Discuss
Correct Answer: 100
Explanation:
Let the number of students be x . Then,
Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
| ∴ 80% of x = 48 + | 2 | of 48 |
| 3 |
| ⟹ | 80 | x = 80 |
| 100 |
⟹ x = 100.
- 3. If A = x% of y and B = y% of x, then which of the following is true?
Options- A. A is smaller than B.
- B. A is greater than B
- C. Relationship between A and B cannot be determined.
- D. If x is smaller than y, then A is greater than B.
- E. None of these Discuss
Correct Answer: None of these
Explanation:
| x% of y = | ❨ | x | x y | ❩ | = | ❨ | y | x x | ❩ | = y% of x |
| 100 | 100 |
∴ A = B.
- 4. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Options- A. 57%
- B. 60%
- C. 65%
- D. 90% Discuss
Correct Answer: 57%
Explanation:
Total number of votes polled = (1136 + 7636 + 11628) = 20400.
| ∴ Required percentage = | ❨ | 11628 | x 100 | ❩% = 57%. |
| 20400 |
- 5. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
Options- A. 4.37%
- B. 5%
- C. 6%
- D. 8.75% Discuss
Correct Answer: 5%
Explanation:
Increase in 10 years = (262500 - 175000) = 87500.
| Increase% = | ❨ | 87500 | x 100 | ❩% = 50%. |
| 175000 |
| ∴ Required average = | ❨ | 50 | ❩% = 5%. |
| 10 |
- 6. The selling price and cost price of an article differs by 480. What is the selling price in case the profit percentage is 20%?
Options- A. 2400
- B. 2500
- C. 2600
- D. 2000 Discuss
Correct Answer: 2400
Explanation:
SP - CP = 480
1.2x - x = 480
?0.2x = 480
?x = 2400
- 7. If a person sells a wooden furniture at 8% profit against 8% loss, then he could had earned Rs12 more. What is the cost price of furniture?
Options- A. 72
- B. 70
- C. 80
- D. 75 Discuss
Correct Answer: 75
Explanation:
Let Cost Price (CP) = x
Then Selling Price(SP) if he sells at profit = x(1+8%) = 1.08x
and SP, if he sells at loss = x(1-8%) = 0.92%
Given, 1.08%-0.92% = Rs12
0.16x = Rs.12
?x = Rs.75
- 8. Calculate the amount of water which should be added to 80% solution of Sulphuric acid to make it a 50% solution?
Options- A. 60cc
- B. 80cc
- C. 75cc
- D. 70cc Discuss
Correct Answer: 60cc
Explanation:
Concentration of Sulphuric acid = 80%
So in a 100cc, Sulphuric acid = 80cc and water = 20cc
Let x be the amount of water added to make concentration of 50%
?80/(100+x) = 50/100
? 80/(100+x) = 1/2
? x = 60cc
- 9. An metallic alloy contains 20g copper, 20g tin and 40g silver.Then find out the percentage of tin in the alloy?
Options- A. 20%
- B. 30%
- C. 25%
- D. 40% Also asked in: Bank Exams
Correct Answer: 25%
Explanation:
Total weight of alloy = 20+20+ 40 = 80g
Weight of tin = 20g
Percentage of tin = 20g/80g x 100
=25%
- 10. If the price of petrol is increased by 20% and subsequently by 40%. If the original price was Rs25 per litre then what is then the final price per litre?
Options- A. 42
- B. 45
- C. 48
- D. 40 Discuss
Correct Answer: 42
Explanation:
Final Price = 25 x (1 + 20/100) x (1 + 40/100)
=Rs.25 x 1.2 x 1.4
= Rs. 42
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