## Ratio and proportion problems SSC CGL Set 24 with answers

Solve 10 Ratio and proportion questions on mixture, ages, number system, money distribution, profit and loss and so on in SSC CGL Set 24 in 15 mins.

*As you can guess, Ratio and proportion is a base topic necessarily used by many other arithmetic topics such as profit and loss, money distribution, mixture and alligation, problems on ages and so on.*

*So get a solid learning on Ratio and proportion concepts.*

The solutions to these problems will give you a good exposure on how to use ratio and proportion concepts to solve various types of arithmetic problems.

Answers to the questions and link to the solution set are at the end.

### 10 problems on ratio and proportion SSC CGL Set 24 - time to solve 15 mins

**Problem 1.**

Divide Rs. 4067 among $A$, $B$ and $C$ in such a way that 4 times the share of $A$, 5 times the share of $B$ and 7 times the share of $C$ are all equal. What is then the share of $A$ in Rs.?

- 1614
- 1715
- 1825
- 1516

**Problem 2.**

The ratio of present age of a gentleman and his wife is 5 : 4 and after 4 years it will be 11 : 9. When they were married the ratio was 7 : 5. How long ago were they married?

- 10 years
- 8 years
- 12 years
- 6 years

**Problem 3.**

1% of tea is wasted at the time of mixing of two kinds of tea priced at Rs.600 per kg and Rs. 800 per kg. In what ratio the two kinds of tea are to be mixed so that there will be a profit of 10% on selling mixed tea at the rate of Rs. 700 per kg?

- 3 : 19
- 17 : 3
- 5 : 17
- 17 : 5

**Problem 4.**

Three persons start a business with capitals in the ratio 3 : 8 : 5. If the first man gets Rs. 600 less than the third as his profit what was the total profit?

- 2400
- 5400
- 4000
- 4800

**Problem 5.**

If a milkman sells his milk at Rs. 30 per litre he incurs losses but if he sells at Rs. 34 per litre he makes a profit. If the loss to gain ratio is 1: 3, his cost price per litre (in Rs.) was,

- 31.5
- 31
- 31.75
- 32

**Problem 6.**

A shopkeeper sells shoes at Rs. 1134 each after giving a discount on the marked price where discount to discounted price ratio was 19 : 81. Had he not given the discount, he would have earned a profit of 40% on the cost price. What is the cost price of each shoe in Rs.?

- 900
- 1100
- 1200
- 1000

**Problem 7.**

Diluted milk from three vessels with milk to water ratios 2 : 3, 3 : 5 and 1: 2 are mixed together taking equal volume from each mixture. What will be the milk to water ratio in the final mixture?

- 113 : 247
- 133 : 227
- 147 : 213
- 101 : 259

**Problem 8.**

The number of students in three classes are in the ratio 2 : 3 : 4. If 12 students are increased in each class, the ratio changes to 8 : 11 : 14. the total number of students in three classes in the beginning was,

- 108
- 54
- 96
- 162

**Problem 9.**

In two bags $a$ and $b$ the ratio of number of balls is 2 : 3. Five balls are taken out from bag $b$ and dropped into bag $a$ making the two numbers equal. The number is,

- 45
- 30
- 25
- 20

** Problem 10.**

Three numbers are in the ratio 2 : 3 : 4. If sum of their squares is 1856, then the numbers are,

- 16, 24, 32
- 8, 12, 16
- 12, 18, 24
- none of these

Learn how to solve ratio and proportion problems at,

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

### Answers to the ratio and proportion problems SSC CGL Set 24

**Problem 1. Answer:** Option b: 1715.

**Problem 2. Answer:** Option c : 12 years.

**Problem 3. Answer:** Option b: $17 : 3$.

**Problem 4. Answer:** Option d: 4800.

**Problem 5. Answer:** Option b: 31.

**Problem 6. Answer:** Option d : 1000.

**Problem 7. Answer:** Option b: 133 : 227.

**Problem 8. Answer:** Option d: 162.

**Problem 9.** **Answer:** Option c: 25.

**Problem 10.** **Answer:** Option a : 16, 24, 32.

**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

**How to solve SSC CGL level arithmetic mixture problems in a few simple steps 1**

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

**How to solve SSC CGL level number and age ratio problems lightning fast**

**How to solve a tricky SSC CGL level age ratio problem lightning fast**

**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 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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