The salary of a worker is first increased by 40% and afterwards reduced by 40%.

The salary of a worker is first increased by 40% and afterwards reduced by 40%. What is the net change in the worker's salary?

Answer/Solution

16% decrease

Steps/Work

Let x be the original salary.
The final salary is 0.6(1.4x) = 0.84x
The answer is C.

Gain Calculator / Auto Solver

The salary of a worker is first increased by % and afterwards reduced by %. What is the net change in the worker's salary?

Calculated Answer

16

Step by Step Solution

In order to solve problem, you must evaluate 100 - (n₀ + 100 - (n₀ * (n₀ + 100)) / 100).

n₀ =	40
n₁ =	40

100 - (n₀ + 100 - (n₀ * (n₀ + 100)) / 100)
Evaluate n₀ + 100 = 140
100 - (140 - (n₀ * (n₀ + 100)) / 100)
Evaluate n₀ + 100 = 140
100 - (140 - (n₀ * 140) / 100)
Evaluate n₀ * 140 = 5600
100 - (140 - 5600 / 100)
Evaluate 5600 / 100 = 56
100 - (140 - 56)
Evaluate 140 - 56 = 84
100 - 84
Evaluate 100 - 84 = 16
16
The answer to the problem and the result of 100 - (n₀ + 100 - (n₀ * (n₀ + 100)) / 100) is 16