Question : A's salary is 50% more than that of B. Then B's salary is less than that of A by:
Option 1: $50$%
Option 2: $33\frac{1}{3}$%
Option 3: $33\frac{1}{4}$%
Option 4: $44\frac{1}{4}$%
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Correct Answer: $33\frac{1}{3}$%
Solution :
Let B's salary be Rs. 100.
A's salary is 50% more than that of B.
So, A's salary = (100 + 50% of 100) = Rs. 150
Now, B gets (150 – 100) = Rs. 50 less than that of A.
So, the required Percentage = $\frac{\text{difference in salaries of A and B}}{\text{salary of A}} × 100$%
= $\frac{50}{150}$ × 100%
= $33\frac{1}{3}$%
Hence, the correct answer is $33\frac{1}{3}$%.
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