Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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 2

Price of sugar is increased by 100%. By what percentage should consumption be reduced so that the expenditure remains same?

**A**

50 %.

**B**

51 %.

**C**

49 %.

**D**

$17{2/3}$ %.

**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 + 100 = Rs. 200/kg. Let the new consumption be c kg. Now, if expenditure is to be same we should have 100 = 200 × c, which gives c = 100/200, so the decrease is 1 - $100/200$ = ${200 - 100}/200$ × 100% = 50%.

### Question 3

If 13% of X + 2% of Y equals 2/3 of the sum of 11% of X and 15% of Y, then the ratio of X to Y is?

**A**

$1{7/17}$.

**B**

$2{9/16}$.

**C**

${7/19}$.

**D**

$3{18/19}$.

**Soln.**

**Ans: a**

We can drop the % from both sides and write the given equation as 13X + 2Y = $2/3$ × (11X + 15Y), which is same as 3 × (13X + 2Y) = 2 × (11X + 15Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (13r + 2) = 2 × (11r + 15), solving for r we get r = ${24/17}$, which is same as: $1{7/17}$.

### Question 4

Two numbers are, respectively, 5% and 25% less than a third number. What percent is the second of the first?

### Question 5

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

### More Chapters | See All...

Decimal Numbers | Profit and Loss | Data Sufficiency | Percentages | Ratio and Proportion | Inequalities | Boats and Streams | Statements and Conclusions | Coding Decoding | Stocks and Shares | More...

This Blog Post/Article "Percentages Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.