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.
