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### Question 1

A clerk multiplied a number by 5/1 instead of 1/5. What is the percentage of error?

### Question 2

The number of online customers increased from 1850 to 3975. What is the percentage increase?

### Question 3

If 11% of A + B = 18% of A - B, then what percent of B is A?

**A**

$4{1/7}$ %.

**B**

6 %.

**C**

$2{4/9}$ %.

**D**

$5{5/9}$ %.

**Soln.**

**Ans: a**

We have been given 11% of A + B = 18% of A - B, so ${A + B}/{A - B}$ = $18/11$. By componendo and dividendo, ${(A + B) + (A - B)}/{(A + B) - (A - B)}$ = ${18 + 11}/{18 - 11}$, which gives $A/B$ = $29/7$ = ${29/7}$, which is same as: $4{1/7}$%

### Question 4

Price of sugar is increased by 20%. By what percentage should consumption be reduced so that the expenditure remains same?

**A**

$16{2/3}$ %.

**B**

$26{1/2}$ %.

**C**

$15{2/3}$ %.

**D**

$11{4/5}$ %.

**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 + 20 = Rs. 120/kg. Let the new consumption be c kg. Now, if expenditure is to be same we should have 100 = 120 × c, which gives c = 100/120, so the decrease is 1 - $100/120$ = ${120 - 100}/120$ × 100% = ${50/3}$, which is same as: $16{2/3}$%.

### Question 5

If 17% of X + 8% of Y equals 2/3 of the sum of 4% of X and 15% of Y, then the ratio of X to Y is?

**A**

${6/43}$.

**B**

$1{1/6}$.

**C**

$2{2/45}$.

**D**

3.

**Soln.**

**Ans: a**

We can drop the % from both sides and write the given equation as 17X + 8Y = $2/3$ × (4X + 15Y), which is same as 3 × (17X + 8Y) = 2 × (4X + 15Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (17r + 8) = 2 × (4r + 15), solving for r we get r = ${6/43}$.

### More Chapters | See All...

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This Blog Post/Article "Percentages Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-12