Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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: $2{2/9}$.

### Question 2

If 11% of X + 7% of Y equals 2/3 of the sum of 6% of X and 13% of Y, then the ratio of X to Y is?

**A**

${5/21}$.

**B**

$1{3/10}$.

**C**

$2{1/23}$.

**D**

$2{22/23}$.

**Soln.**

**Ans: a**

We can drop the % from both sides and write the given equation as 11X + 7Y = $2/3$ × (6X + 13Y), which is same as 3 × (11X + 7Y) = 2 × (6X + 13Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (11r + 7) = 2 × (6r + 13), solving for r we get r = ${5/21}$.

### Question 3

Two numbers are, respectively, 15% and 50% less than a third number. What percent is the second of the first?

### Question 4

A sample of alcohol has 40% water, and another sample has 60% water. If equal volumes of both the samples are combined, what is the percentage of water in the new sample?

### Question 5

If 58 is m% of p, and B is p% of m, then what is B?

### More Chapters | See All...

Paper Cutting | Course of Action | Percentages | Passwords and Inputs | Compound Interest | Essential Part | Clocks and Calendars | Simple Interest | Verification of truth | Direction Sense Test | More...

This Blog Post/Article "Percentages Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.