Bunuel wrote:

A grocery store stocker whose hourly wage was increased by 50 percent decided to reduce the number of hours worked per week so that his total weekly income would remain unchanged. By approximately what percent should the number of hours worked be reduced?

A. 12.5%

B. 20%

C. 25%

D. 33.33%

E. 66.67%

Percent increase and percent decrease are

inversely proportional when the original value is constant (or when returning to the original is the goal).

When there is a percent increase and decrease problem and the original is constant or sought after:

1) Find the fraction for the percent increase or decrease;

2) Flip the fraction;

3) If a percent increase is needed as offset, subtract the flipped fraction FROM

1. Change the decimal to a percent. Done. OR

4) If a percent decrease is needed as offset, subtract 1 from the flipped

fraction. Change the decimal to a percent. Done.

Here, we have a 50 percent increase in weekly wage.

The worker wants to maintain the same weekly pay.

By what percent must he reduce his number of hours worked?

1) Fraction: A 50 percent increase = \(1.5 = 1 \frac{1}{2} = \frac{3}{2}\)

2) Flip that fraction: \(\frac{3}{2} --> \frac{2}{3}\)

3 ) Subtract from 1: \((1 - \frac{2}{3}) = \frac{1}{3} = .3333 \approx{33.33}\) % is the percent by which he must decrease his hours to maintain his original weekly pay.

Answer D

To offset a percent increase: (1 - fractional inverse of the increase)

To offset a percent decrease: (fractional inverse of the decrease - 1)

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Formerly genxer123