## 76th SSC CGL level Question Set, 4th on topic Percentage

This is the 76th question set of 10 practice problem exercise for SSC CGL exam and 4th on topic Percentage. A few of the problems may seem to be a little confusing but with right method and application of basic concepts all problems can be solved quickly with confidence.

Take the test first and then go through the corresponding solution set for gaining maximum benefits from this resource. In most of the solutions special techniques and methods based on fundamental concepts have been used for solving the problems as quickly as possible, generally in mind.

Answers are given at the end.

### Recommendation

Before taking the test you should go through the following tutorial sessions.

**How to solve problems on mixing liquids and based on ages**

**Basic and Rich Percentage *** Concepts* for solving difficult SSC CGL problems.

### 76th question set - 10 problems for SSC CGL exam: 4th on topic Percentage - time 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.**

**Resources that should be useful for you**

* 7 steps for sure success in SSC CGL tier 1 and tier 2 competitive tests* or

*to access all the valuable student resources that we have created specifically for SSC CGL, but*

**section on SSC CGL****generally for any hard MCQ test.**

**Concept Tutorials on related topics**

**Basic concepts on fractions and decimals part 1**

**Basic concepts on Ratio and Proportion**

**Componendo dividendo applied on number system and ratio proportion problems**

**How to solve problems on mixing liquids and based on ages**

**Basic and Rich Percentage *** Concepts* for solving difficult SSC CGL problems

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