Question:medium

6 men or 5 women earn Rs.16,800 in 4 days. How much will 4 women and 6 men earn in one day?

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The word "or" in work problems implies equality. "6 men or 5 women" means the work done by 6 men is equal to the work done by 5 women in the same amount of time.
Updated On: Mar 7, 2026
  • Rs.7160
  • Rs.7260
  • Rs.7460
  • Rs.7560
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Determine the group's daily earnings. The total earnings over 4 days are Rs.16,800. Daily earnings are calculated as \( \frac{16,800}{4} = 4,200 \). Therefore, 6 men or 5 women earn Rs.4,200 daily.

Step 2: Calculate the daily wage for one man and one woman. The daily wage for 1 Man (M) is \( \frac{4,200}{6} = 700 \). The daily wage for 1 Woman (W) is \( \frac{4,200}{5} = 840 \).

Step 3: Calculate the total daily earnings for the specified group. The group comprises 4 women and 6 men. Total Daily Earning is computed as (4 × Woman's wage) + (6 × Man's wage). Total Daily Earning = \( (4 \times 840) + (6 \times 700) \). Total Daily Earning = \( 3360 + 4200 = 7560 \). The group's daily earnings are Rs.7,560.
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