A’s salary is 20% less than B’s salary. C’s salary is Rs 10,000, which is 25% more than B’s salary. What is A’s salary?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Rs 6,400
Both percentages are taken of B’s salary, so B’s salary is found first from C’s.
C \(=125\%\) of B, so \(1.25B=10000\) and \(B=8000\)
A \(=80\%\) of B \(=0.8\times8000=6400\)
A’s salary is Rs 6,400.
Why the other options are incorrect
Option (1) Rs 6,000 — Incorrect. This takes B as 25% less than Rs 10,000 (Rs 7,500) and then A as 20% less than that. But C earns 25% more than B, so B \(\displaystyle =\frac{10000}{1.25}=\) Rs 8,000, not Rs 7,500.
Option (2) Rs 9,600 — Incorrect. A earns less than B (Rs 8,000), so A’s salary cannot be above Rs 8,000.
Option (3) Rs 8,000 — Incorrect. This is B’s salary.