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A man and a boy completed a piece of work in 10 days and were a paid Rs. 10,000. The man was 50% more efficient than the boy. What is the difference in the daily wages of the man and the boy?

1. Rs. 100
2. Rs. 500
3. Rs. 400
4. Rs. 200

एक आदमी और एक लड़के ने 10 दिनों में एक काम पूरा किया और उन्हें 10,000 रुपये का भुगतान किया गया। आदमी लड़के से 50% अधिक कुशल था। आदमी और लड़के की दैनिक मजदूरी में क्या अंतर है?

1. 100 रुपये
2. 500 रुपये
3. 400 रुपये
4. 200 रुपये
This Question came in
UGC-NET-HomeSci-08-January-2025-Shift-2-Q31
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Detailed Explanation & Answer
Given:
- Man is 50% more efficient than the boy.
- Man and Boy complete work in 10 days.
- Total wages = Rs. 10,000.

Step 1: Define Efficiency
Let boy's efficiency be x, then man's efficiency = 1.5x.
Total efficiency = x + 1.5x = 2.5x.

Step 2: Work Calculation
Total work done = (2.5x) × 10 = 25x.
Man's share of work = (1.5x × 10) = 15x.
Boy's share of work = (x × 10) = 10x.

Step 3: Wage Distribution
Man’s wage = (15x / 25x) × 10000 = 6000.
Boy’s wage = (10x / 25x) × 10000 = 4000.

Step 4: Daily Wage Difference
Man’s daily wage = 6000 / 10 = 600.
Boy’s daily wage = 4000 / 10 = 400.
Difference = 600 - 400 = 200.

Answer:
(4) Rs. 200
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