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If A's salary is 30% more than B's salary, then by what percentage is B's salary less than that of A? (correct to one decimal place)
Answer & Solution
Correct Answer:
Option
B
Given:
Salary of A is 30% more than salary of B
Calculation:
Let the salary of B be 100x
Salary of A = 100x + 100x × 30%
⇒ 130x
Percentage difference = $$\frac{{130{\text{x}} - 100{\text{x}}}}{{130{\text{x}}}} \times 100$$
= $$\frac{{30{\text{x}}}}{{130{\text{x}}}} \times 100$$
= 23.07% ≈ 23.1%
∴ B's salary is 23.1% less than that of A.
Salary of A is 30% more than salary of B
Calculation:
Let the salary of B be 100x
Salary of A = 100x + 100x × 30%
⇒ 130x
Percentage difference = $$\frac{{130{\text{x}} - 100{\text{x}}}}{{130{\text{x}}}} \times 100$$
= $$\frac{{30{\text{x}}}}{{130{\text{x}}}} \times 100$$
= 23.07% ≈ 23.1%
∴ B's salary is 23.1% less than that of A.
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