# Q. P’s salary is 20% lower than Q’s salary which is 20% lower than R’s salary.

By how much percent is R’s salary more than P’s salary?

a) 48.75%

b) 56.25%

c) 60.50%

d) 62.25%

Correct answer: b) 56.25%

#### Question from UPSC Prelims 2024 CSAT

**Explanation : **

## R’s salary more than P’s salary

Let’s approach this step-by-step to verify the correct answer:

1) Let’s assume R’s salary is 100 units (for easy calculation).

2) Q’s salary is 20% lower than R’s:

Q’s salary = 100 – (20% of 100) = 100 – 20 = 80 units

3) P’s salary is 20% lower than Q’s:

P’s salary = 80 – (20% of 80) = 80 – 16 = 64 units

4) Now, we need to calculate how much higher R’s salary is compared to P’s:

Difference = R’s salary – P’s salary = 100 – 64 = 36 units

5) To express this as a percentage increase from P to R:

Percentage increase = (Difference / P’s salary) × 100

= (36 / 64) × 100

= 0.5625 × 100

= 56.25%

Therefore, the correct answer is indeed b) 56.25%.

R’s salary is 56.25% more than P’s salary.