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- Question
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
- 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.
- 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
- 2. If 20% of a = b, then b% of 20 is the same as:
Options- A. 4% of a
- B. 5% of a
- C. 20% of a
- D. None of these Discuss
- 3. Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
Options- A. Rs. 6876.10
- B. Rs. 6999.20
- C. Rs. 6654
- D. Rs. 7000 Discuss
- 4. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Options- A. 39, 30
- B. 41, 32
- C. 42, 33
- D. 43, 34 Discuss
- 5. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Options- A. Rs. 200
- B. Rs. 250
- C. Rs. 300
- D. None of these Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. What will be the day of the week 15th August, 2010?
Options- A. Sunday
- B. Monday
- C. Tuesday
- D. Friday Discuss
- 10. How many days are there in x weeks x days?
Options- A. 7x2
- B. 8x
- C. 14x
- D. 7 Discuss
Percentage problems
Search Results
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 |
Correct Answer: 4% of a
Explanation:
| 20% of a = b ⟹ | 20 | a = b. |
| 100 |
| ∴ b% of 20 = | ❨ | b | x 20 | ❩ | = | ❨ | 20 | a x | 1 | x 20 | ❩ | = | 4 | a = 4% of a. |
| 100 | 100 | 100 | 100 |
Correct Answer: Rs. 6876.10
Explanation:
| Rebate = 6% of Rs. 6650 = Rs. | ❨ | 6 | x 6650 | ❩ | = Rs. 399. |
| 100 |
| Sales tax = 10% of Rs. (6650 - 399) = Rs. | ❨ | 10 | x 6251 | ❩ | = Rs. 625.10 |
| 100 |
∴ Final amount = Rs. (6251 + 625.10) = Rs. 6876.10
Correct Answer: 42, 33
Explanation:
Let their marks be ( x + 9) and x .
| Then, x + 9 = | 56 | (x + 9 + x) |
| 100 |
⟹ 25(x + 9) = 14(2x + 9)
⟹ 3x = 99
⟹ x = 33
So, their marks are 42 and 33.
Correct Answer: Rs. 250
Explanation:
Let the sum paid to Y per week be Rs. z .
Then, z + 120% of z = 550.
| ⟹ z + | 120 | z = 550 |
| 100 |
| ⟹ | 11 | z = 550 |
| 5 |
| ⟹ z = | ❨ | 550 x 5 | ❩ = 250. |
| 11 |
Correct Answer: None of these
Explanation:
| x% of y = | ❨ | x | x y | ❩ | = | ❨ | y | x x | ❩ | = y% of x |
| 100 | 100 |
∴ A = B.
Correct Answer: 57%
Explanation:
Total number of votes polled = (1136 + 7636 + 11628) = 20400.
| ∴ Required percentage = | ❨ | 11628 | x 100 | ❩% = 57%. |
| 20400 |
Correct Answer: 5%
Explanation:
Increase in 10 years = (262500 - 175000) = 87500.
| Increase% = | ❨ | 87500 | x 100 | ❩% = 50%. |
| 175000 |
| ∴ Required average = | ❨ | 50 | ❩% = 5%. |
| 10 |
Correct Answer: Sunday
Explanation:
15 th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)
Odd days in 1600 years = 0
Odd days in 400 years = 0
9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days ≡ 4 odd days.
Jan. Feb. March April May June July Aug. (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days
∴ 227 days = (32 weeks + 3 days) ≡ 3 odd days.
Total number of odd days = (0 + 0 + 4 + 3) = 7 ≡ 0 odd days.
Given day is Sunday.
Correct Answer: 8x
Explanation:
x weeks x days = (7 x + x ) days = 8 x days.
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