## Ratio and proportion questions with answers SSC CGL Set 31

Solve 10 selected Ratio and proportion questions for SSC CGL in 15 minutes. Verify your solutions from answers. Know how to solve quickly from solutions.

**The questions are from various arithmetic topics but all based on ratio and proportion. **

*The topics are as diverse as, money distribution, number system, HCF LCM, fractions, savings and expenses, profit and loss, time and work and mixture and alligation.*

Ratio and proportion is a base conceptand is needed in so many diverse arithmetic topics.So learn it well.

Answers and the link to the solutions are at the end.

### 10 Ratio and proportion questions SSC CGL Set 31- time to answer 15 mins

**Problem 1.**

A certain amount of money is divided among A, B and C. If A receives 25% more than B and B receives 25% less than C, then A : B : C is,

- 12 : 10 : 11
- 10 : 9 : 12
- !5 : 12 : 16
- 14 : 12 : 13

**Problem 2.**

Two numbers are in the ratio 17 : 45. One third of the smaller is less than one fifth of the larger by 15. The smaller number is,

- $25\displaystyle\frac{1}{2}$
- $86\displaystyle\frac{1}{2}$
- $67\displaystyle\frac{1}{2}$
- $76\displaystyle\frac{1}{2}$

**Problem 3.**

A policeman starts to chase a thief and moves 8 steps when the thief takes 10 steps, but 7 steps of the thief equals 5 steps of the policeman. The ratio of the speeds of the policeman and the thief is,

- 25 : 28
- 26 : 25
- 25 : 26
- 28 : 25

**Problem 4.**

Two numbers are in ratio of 3 : 5 and their LCM is 225. The smaller number is,

- 75
- 45
- 60
- 90

**Problem 5.**

Two numbers are in the ratio of $1\displaystyle\frac{1}{2} : 2\displaystyle\frac{2}{3}$. When each of these is increased by 15, the ratio changes to $1\displaystyle\frac{2}{3} : 2\displaystyle\frac{1}{2}$. The larger of the numbers is,

- 48
- 27
- 36
- 64

#### Problem 6.

The ratio of savings to expenditure of a person is 2 : 3. If his savings increases by 6% while his income increases by 15% then by how much percentage did his expenditure increase?

- 21%
- 24%
- 12%
- 25%

** Problem 7.**

A trader sells 20 kg of sugar at Rs. 400 and agrees to the request of a customer to give him a discount of 20%. But being a dishonest trader he uses a spurious weight which is less by 4% per kg of weight. The effective discount that the customer then gets,

- 15.5%
- 16%
- 16.66%
- 19.6%

** Problem 8.**

When A, B and C do a task together the ratio of work that A and B do together with respect to what C does is 7 : 3 and the ratio of work that B and C together do to the work A does is 1 : 1. Which worker among the three is most efficient?

- B
- A
- C
- Cannot be answered with the given information

**Problem 9.**

In three containers of equal capacity, the ratio of milk to water is 3: 2, 7 : 3 and 11 : 4 respectively. If the liquids in the three containers are mixed together, what will be the milk to water ratio in the new mixture?

- 61 : 28
- 60 : 29
- 59 : 29
- 61 : 29

** Problem 10.**

Vinny got twice as many marks in English as in Science. Her total marks in English, Science and Maths is 180. If the ratio of her marks in Maths and English is 3 : 2, what is her marks in Science?

- 30
- 72
- 60
- 90

Know how to solve quickly using basic and advanced techniques from the solutions at,

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

### Answers to the Ratio and proportion questions SSC CGL set 31

**Problem 1. Answer:** Option c: 15 : 12 : 16.

**Problem 2. Answer:** Option d : $76\displaystyle\frac{1}{2}$.

**Problem 3. Answer:** Option d: 28 : 25.

**Problem 4. Answer:** Option b: 45.

**Problem 5. Answer:** Option a: 48.

**Problem 6. Answer:** Option a : 21%.

**Problem 7. Answer:** Option c: 16.66%.

**Problem 8. Answer:** Option b: A.

**Problem 9. Answer:** Option d: 61 : 29.

**Problem 10. Answer:** Option a: 30.

**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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**SSC CGL level solved question sets on mixture or alligation**

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

**SSC CGL level solved question set 85 on mixture or alligation 2**

#### SSC CHSL level solved question sets on Mixture or Alligation

**SSC CHSL level Solved Question set 9 on Mixture or Alligation 1**

**SSC CHSL level Solved Question set 10 on Mixture or Alligation 2**

#### SSC CGL Tier II level solved question sets on mixture or alligation

**SSC CGL Tier II level solved question set 24 on mixture or alligation 1**

**SSC CGL Tier II level solved question set 25 on mixture or alligation 2**

**SSC CGL Tier II level question and solution sets on Ratio and Proportion**

**SSC CGL Tier II level Solution Set 23 Ratio proportion 2**

**SSC CGL Tier II level Question Set 23 Ratio proportion 2**

*SSC CGL Tier II level Solution Set 22 Ratio proportion 1*

*SSC CGL Tier II level Question Set 22 Ratio proportion 1*

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

**SSC CGL level Solution Set 84, Ratio proportion 8**

**SSC CGL level Question Set 84, Ratio proportion 8**

**SSC CGL level Solution Set 83, Ratio Proportion 7**

**SSC CGL level Question Set 83, Ratio Proportion 7**

**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 Question 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 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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