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### Question 1

A sample of alcohol has 60% water, and another sample has 80% water. If equal volumes of both the samples are combined, what is the percentage of water in the new sample?

### Question 2

Price of sugar is increased by 40%. By what percentage should consumption be reduced so that the expenditure remains same?

**A**

$28{4/7}$ %.

**B**

$34{1/2}$ %.

**C**

$21{4/9}$ %.

**D**

$24{5/9}$ %.

**Soln.**

**Ans: a**

Let price be Rs. 100/kg and the consumption be 1 kg. The current expenditure is 100 × 1 = Rs. 100. The new price of sugar is 100 + 40 = Rs. 140/kg. Let the new consumption be c kg. Now, if expenditure is to be same we should have 100 = 140 × c, which gives c = 100/140, so the decrease is 1 - $100/140$ = ${140 - 100}/140$ × 100% = ${200/7}$, which is same as: $28{4/7}$%.

### Question 3

Mr. X who spends 69% of his salary is able to save Rs. 527. What is his salary?

### Question 4

A carton contains 5000 led bulbs, some of them are red, some green and others are blue. How many are green if 6% are red and 4% are blue?

### Question 5

If 5% of X + 4% of Y equals 2/3 of the sum of 3% of X and 16% of Y, then the ratio of X to Y is?

**A**

$2{2/9}$.

**B**

$3{5/8}$.

**C**

1.

**D**

$4{3/11}$.

**Soln.**

**Ans: a**

We can drop the % from both sides and write the given equation as 5X + 4Y = $2/3$ × (3X + 16Y), which is same as 3 × (5X + 4Y) = 2 × (3X + 16Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (5r + 4) = 2 × (3r + 16), solving for r we get r = ${20/9}$, which is same as: $2{2/9}$.

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This Blog Post/Article "Percentages Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.