A man's wage was reduced by 50%. Again the reduced wage was increased by 50%.
Find his loss in terms of percentage.

Question

A man's wage was reduced by 50%. Again the reduced wage was increased by 50%. Find his loss in terms of percentage.

Quintessence Classes · Accepted Answer

The correct answer is 25%. Here is the step-by-step explanation: Assume an initial wage: Let's say the man's original wage is $100.First change (50% reduction): His wage is reduced by 50%.{Reduction} = 50% { of } 100 = 50 {Reduced Wage} = 100 - 50 = 50 Second change (50% increase): Now, this reduced wage (50) is increased by 50%.{Increase} = 50% { of } 50 = 25  {Final Wage} = 50 + 25 =   75Calculate the overall loss: {Loss} = {Original Wage} - {Final Wage}\{Loss} = 100 - 75 = 25 Convert to percentage: Since the original wage was 100, a 25 loss is exactly a 25% loss.

Answer

30%

Answer

20%

Answer

35%

A man's wage was reduced by 50%. Again the reduced wage was increased by 50%.
Find his loss in terms of percentage.

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