Question

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

• A. Rs.7160
• B. Rs.7260
• C. Rs.7460
• D. Rs.7560

Hint:

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.

Answer 1

The Correct Option is D

Step 1: Calculate the daily earning of the groups. The total earning in 4 days is Rs.16,800. The daily earning for the group is \( \frac{16,800}{4} = 4,200 \). So, 6 men earn Rs.4,200 per day, OR 5 women earn Rs.4,200 per day.

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

Step 3: Calculate the total daily earning for the required group. The group consists of 4 women and 6 men. Total Daily Earning = (4 × Woman's wage) + (6 × Man's wage). Total Daily Earning = \( (4 \times 840) + (6 \times 700) \). Total Daily Earning = \( 3360 + 4200 = 7560 \). They will earn Rs.7,560 in one day.