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If A's salary is 31 % more than that of B, then how much percent is B's salary less than that of A (correct to 2 decimal places)?
Question

If A's salary is 31 % more than that of B, then how much percent is B's salary less than that of A (correct to 2 decimal places)?

A.

23.66%

B.

21.53%

C.

27.46%

D.

21.74%

Correct option is A

Given:

A's salary is 31% more than B's salary.

We need to find the percentage by which B's salary is less than A's.

Formula Used:

Percentage decrease=(A’s salaryB’s salaryA’s salary)×100\text{Percentage decrease} = \left( \frac{\text{A's salary} - \text{B's salary}}{\text{A's salary}} \right) \times 100

Solution:

Let B's salary be 100 units.
Then, A's salary = 100 + 31% of 100 = 131 units.

Percentage decrease=(131100131)×100\text{Percentage decrease} = \left( \frac{131 - 100}{131} \right) \times 100

=(31131)×100=23.66%= \left( \frac{31}{131} \right) \times 100 = 23.66\%​​

B's salary is 23.66% less than A's salary.

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