## 25th SSC CGL level Question Set, 4th on topic Arithmetic Percentage, Ratio and Proportion

This is the 25th question set of 10 practice problem exercise for SSC CGL exam and 4th on topic Arithmetic Percentage, Ratio and Proportion. Students should complete this question set in prescribed time first and then only refer to the corresponding solution set.

We will repeat here the method of taking the test if you have not gone through it already.

### Method for taking the test and get the best results from the test set:

**Before start,**go through the tutorials**Basic concepts on fractions and decimals part 1**,**, Basic concepts on Ratio and Proportion****Arithmetic problems on mixing liquids and based on ages,**, or any other short but good material to refresh your concepts if you so require.**Basic and Rich Percentage Concepts for solving difficult SSC CGL problems****Answer the questions**in an undisturbed environment with no interruption, full concentration and alarm set at 12 minutes.**When the time limit of 12 minutes is over,**mark up to which you have answered,**but go on to complete the set.****At the end,**refer to the answers given at the end to mark your score at 12 minutes. For every correct answer add 1 and for every incorrect answer deduct 0.25 (or whatever is the scoring pattern in the coming test). Write your score on top of the answer sheet with date and time.**Identify and analyze**the problems that**you couldn't do**to learn how to solve those problems.**Identify and analyze**the problems that**you solved incorrectly**. Identify the reasons behind the errors. If it is because of**your shortcoming in topic knowledge**improve it by referring to**only that part of concept**from the best source you get hold of. You might google it. If it is because of**your method of answering,**analyze and improve those aspects specifically.**Identify and analyze**the**problems that posed difficulties for you and delayed you**. Analyze and learn how to solve the problems using basic concepts and relevant problem solving strategies and techniques.**Give a gap**before you take a 10 problem practice test again.

Important:bothandpractice testsmust be timed, analyzed, improving actions taken and then repeated. With intelligent method, it is possible to reach highest excellence level in performance.mock tests

### 25th question set- 10 problems for SSC CGL exam: topic Arithmetic Percentage, Ratio and Proportion - Answering time 12 mins

**Problem 1.**

Dry grapes contain 10% water while fresh grapes contain 80% water. What will be the weight (in kg) of fresh grapes when it weighs 50 kg as dry?

- 208
- 225
- 235
- 215

**Problem 2.**

Full tank petrol for Vijay's mobike lasts for 20 days. How many days a full tank will last for him if he increases his daily consumption of petrol by 25%?

- 16
- 10
- 12
- 14

**Problem 3.**

Number of students in three classes $A$, $B$ and $C$ in a school were in a ratio $2 : 3 : 4$ in last year. This year the numbers increased by certain percentages to change the ratio to $11 : 18 : 26$. If the percentage increase in class $C$ were 30% what is the percentage increase in class $B$?

- 25%
- 20%
- 10%
- 15%

**Problem 4.**

Due to price rise of rice by 25% per kg Labanya could only purchase 20 kg less than what she had purchased at the expense of Rs.400 before the price rise. The increase in price of rice per kg (in Rs.) is,

- 2
- 1.5
- 1
- 3

**Problem 5.**

Two vessels $A$ and $B$ of equal capacity of 5 litres each are filled with milk and water respectively. If 20% of water is taken out from vessel $B$, mixed thoroughly in vessel $A$ and then again 20% of the mixture in vessel $A$ is taken out and mixed back into vessel $B$ thoroughly, the relation between the volume of water in milk vessel $A$ and volume of milk in water vessel $B$ is,

- Water in $A$ = Milk in $B$
- Water in $A$ $\lt$ Milk in $B$
- Water in $A$ $\gt$ Milk in $B$
- cannot be answered with the given information

**Problem 6.**

As the price of oil has increased by 32%, a family has managed to decrease its oil consumption in such a way that effective increase in oil price was only 10% for them. If oil consumption were 10 litres before the price rise, what is the consumption (in litres) now?

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

**Problem 7.**

A box has 100 red balls, 50 blue balls and 50 black balls. 50% of the blue balls and 25% of the red balls were taken out of the box. What is the percentage of black balls in the box now?

- 25%
- 50%
- $33\displaystyle\frac{1}{3}$%
- 40%

**Problem 8.**

If 4 litres of water is mixed with a 20 litres of mixture of water and alchohol of 20% alchohol strength, what will be the percentage strength of alchohol after mixing?

- $33\displaystyle\frac{1}{3}$%
- $12\displaystyle\frac{1}{2}$%
- $16\displaystyle\frac{2}{3}$%
- 25%

**Problem 9.**

If the numerator of a fraction is increased by 20% and the denominator is decreased by 5% then the new fraction becomes $\displaystyle\frac{5}{2}$. The original fraction was,

- $\displaystyle\frac{24}{19}$
- $\displaystyle\frac{3}{18}$
- $\displaystyle\frac{48}{95}$
- $\displaystyle\frac{95}{48}$

** Problem 10.**

In a village each of the 60% of the families has a cow, each of the 30% of the families has a buffalo and each of the 15% of the families has both a cow and a buffalo. If there are 96 families in the village, how many families have neither a cow nor a buffalo?

- 28
- 24
- 20
- 26

You will find the answers and the detailed conceptual solutions to these questions in * SSC CGL Level Solution Set 25, Percentage, Ratio and Proportion 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**

#### 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**

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

**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 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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