JKSSB Written 2024
A man's wage was reduced by 50%. Again the reduced wage was increased by 50%.
Answer & Explanation
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Correct Answer:
Option A —
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 = 75
Calculate 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 verified by Quintessence Classes faculty — Karan Nagar, Srinagar.