## Percentage questions for SSC CGL Set 76

Solve 10 percentage questions for SSC CGL Set 76 in 12 minutes. Verify correctness from answers. Learn to solve quickly from conceptual solutions.

Answers and link to the solutions are at the end.

### 10 percentage questions for SSC CGL Set 76 - time to solve 12 mins

**Problem 1.**

If $p\text{% of } p$ is 36 and $q\text{% of } q$ is 48, the ratio, $p:q$ is

- $3:4$
- $4:3$
- $3:8$
- $1:4$

**Problem 2.**

In a school 40% of the students play football and 50% of the students play cricket. If 18% of the students play neither football nor cricket, percentage of students playing both is,

- 22%
- 40%
- 8%
- 32%

**Problem 3.**

If 40% of $P$ equals 25% of $Q$, then 60% of $P$ is $x$% of $Q$. Find $x$.

- 30
- 37.5
- 6.25
- 0.625

**Problem 4.**

The sum of two positive numbers is 20% of sum of their squares and 25% of the difference of their squares. If the numbers are $x$ and $y$, then $\displaystyle\frac{x+y}{x^2}$ is,

- $\displaystyle\frac{3}{8}$
- $\displaystyle\frac{1}{3}$
- $\displaystyle\frac{1}{4}$
- $\displaystyle\frac{2}{9}$

**Problem 5.**

If $15\text{% of }(A+B)=25\text{% of }(A-B)$, then what percent of B is A?

- 10%
- 400%
- 60%
- 200%

#### Problem 6.

A number is divided into two parts in such a way that 80% of the 1st part is 3 more than 60% of the 2nd part and 80% of the 2nd part is 6 more than 90% of the first part. Then the number is,

- 135
- 125
- 145
- 130

** Problem 7.**

A reduction of 20% in the price of sugar enables a purchaser to obtain 8 kgs more for Rs.160. Then the price per kg before reduction was,

- Rs.4
- Rs.6
- Rs.5
- Rs.10

** Problem 8.**

The strength of a school increases and decreases in every alternate year by 10%. It started with increase in 2000. Then the strength of the school in 2003 as compared to that in 2000 was,

- increased by 9.8%
- increased by 8.9%
- decreased by 9.8%
- decreased by 8.9%

**Problem 9.**

The price of an article was first increased by 10% and then again by 20%. If the last increased price was Rs.33, the original price was,

- Rs.25
- Rs.27.50
- Rs.26.50
- Rs.30

** Problem 10.**

Fresh fruit contains 68% of water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?

- 52 kgs
- 32 kgs
- 40 kgs
- 80 kgs

### Answers to the questions

**Problem 1.** Answer: Option a: $3:4$.

**Problem 2.** Answer: Option c : 8%.

**Problem 3.** Answer: Option b: $37.5$%.

**Problem 4.** Answer: Option d: $\displaystyle\frac{2}{9}$.

**Problem 5.** Answer: Option b: 400%.

**Problem 6.** Answer: Option a : $135$.

**Problem 7.** Answer: Option c: Rs.5.

**Problem 8.** Answer: Option b: increased by 8.9%.

**Problem 9.** Answer: Option a: Rs. 25.

**Problem 10.** Answer: Option c: 40 kgs.

For detailed solutions to these questions refer to **SSC CGL level Solution set 76, Percentage 4.**

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