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If A's salary is 16% more than that of B, then by what percentage is B's salary less than that of A (correct to two decimal places)?​
Question

If A's salary is 16% more than that of B, then by what percentage is B's salary less than that of A (correct to two decimal places)?​

A.

13.79%

B.

13.62%

C.

15.05%

D.

12.72%

Correct option is A

Given:
Salary of A is 16% more than salary of B.
Solution:
Let the salary of B be 100x.
Salary of A = 100x + 100x × 16% = 116x
Percentage Difference=(116x100x116x)×100=>(16x116x)×100=>13.79%\text{Percentage Difference} = \left( \frac{116x - 100x}{116x} \right) \times 100\\\Rightarrow \left( \frac{16x}{116x} \right) \times 100\\\Rightarrow 13.79\%\\​​
∴ B's salary is 13.79% less than that of A

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