## 69th SSC CGL level Question Set, 3rd on topic Percentage

This is the 69th question set of 10 practice problem exercise for SSC CGL exam and 3rd on topic Percentage. Students must complete this question set in prescribed time first and then only refer to the corresponding solution set for extracting maximum benefits from this resource.

In MCQ test, you need to deduce the answer in shortest possible time and select the right choice.

Based on our analysis and experience we have seen that, for accurate and quick answering, the student

- must have complete understanding of the basic concepts in the topic area
- is adequately fast in mental math calculation
- should try to solve each problem using the basic and rich concepts in the specific topic area and
- does most of the deductive reasoning and calculation in his or her head rather than on paper.

Actual problem solving is done in the fourth layer. You need to use **your problem solving abilities** to gain an edge in competition.

### 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.

### 69th question set - 10 problems for SSC CGL exam: 3rd on topic Percentage - time 12 mins

**Problem 1.**

Instead of giving a discount, for every 19 kites sold, a kite-seller gives 1 kite extra free. In order to give 5% more discount, the number of extra kites the kite-seller needs to give free in a sale of 27 kites is,

- 3
- 6
- 8
- 7

**Problem 2.**

Two fixed points A and B are 15 cm apart. A third point C is located between the two points on the straight line joining them so that length of AC is 9 cm. If the point C is moved towards point B so that the length of AC is increased by 6%, the length of BC must have been decreased by,

- 6%
- 8%
- 7%
- 9%

**Problem 3.**

In a three hour test, half way through, out of a total number of 200 questions Abhi answered 40% of the questions. What should be the percentage increase in average answer rate during the rest of the time so that Abhi can answer all the questions?

- $60$%
- $50$%
- $40$%
- $33\frac{1}{3}$%

**Problem 4.**

In a final exam, Vikas scores 30% but fails to pass by 5 marks, while Chandra who got 10 more marks than the pass marks scores 40%. The pass marks is then,

- 100
- 70
- 50
- 150

**Problem 5.**

The price of an item was increased by 10%. This caused a reduction in monthly total item sales by 20%. The overall effect of price increase on the monthly total sale value is then,

- 10% increase
- 12% decrease
- 12% increase
- 10% decrease

#### Problem 6.

A number is increased by 20% and then again by 20%. By what percent should the inreased number be reduced to get back to the original number?

- $30\displaystyle\frac{5}{9}$%
- $44$%
- $19\displaystyle\frac{11}{31}$%
- $40$%

** Problem 7.**

In a basic science library 25% of the books are on Bioscience, 200 are on Physics and the rest are on Chemistry. If the ratio of number of books on Chemistry, Physics and Bioscience is, 5 : 4 : 3, how many new books only on Bioscience are to be added to the library collection to make the percentage of Bioscience books as 40%?

- 75
- 150
- 100
- 125

** Problem 8.**

The sum of two numbers is 520. If the larger number is decreased by 4% and the smaller number is increased by 12%, the numbers thus obtained become equal. The smaller of the two original numbers is then,

- 300
- 240
- 280
- 210

**Problem 9.**

In an examination 65% of the students passed in Mathematics, 48% passed in Physics and 30% passed in both. How much percentage of students then failed in both subjects?

- 13%
- 17%
- 43%
- 47%

** Problem 10.**

A's salary is 40% of B's salary and B's salary is 25% of C's salary. What percent of C's salary is A's salary?

- 15%
- 5%
- 20%
- 10%

For detailed solutions to these questions refer to **SSC CGL level Solution set 69, Percentage 3.**

**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

#### Efficient solution techniques on related topics

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**How to solve SSC CGL level arithmetic mixture problems in a few simple steps 2**

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**SSC CGL level solved questions sets 78 on mixture or alligation 1**

**Other SSC CGL question and solution sets on Ratio & Proportion and Percentage**

**SSC CGL level Solution Set 76, Percentage 4**

**SSC CGL level Question Set 76, Percentage 4**

**SSC CGL level Solution Set 69, Percentage 3**

**SSC CGL level Solution Set 68, Ratio proportion 6**

**SSC CGL level Question Set 68, Ratio Proportion 6**

**SSC CGL level Solution Set 31, Ratio and Proportion 5**

**SSC CGL level Question Set 31, Ratio and Proportion 5**

**SSC CGL Level Solution Set 25, Percentage, Ratio and Proportion 4**

**SSC CGL level Question Set 25, Percentage, Ratio and Proportion 4**

**SSC CGL level Solution Set 24, Arithmetic Ratio & Proportion 3**

**SSC CGL level Question Set 24, Arithmetic Ratio & Proportion 3**

**SSC CGL level Solution Set 5, ****Arithmetic Ratio & Proportion 2**

**SSC CGL level Question Set 5, ****Arithmetic Ratio & Proportion 2**

**SSC CGL level Solution Set 4, Arithmetic Ratio & Proportion 1**

**SSC CGL level Question Set 4, ****Arithmetic Ratio & Proportion 1**

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