4 Men and 6 women after doing work in 5 days get Rs. 1600. 3 Men and 7 women after doingsame work in 6 days get Rs. 1740. Then in how many days 7 Men and 6 Women can do the workto get 3760 Rs.

Let's solve the problem step by step:

Step 1: Calculate the daily earning of each man and each woman. To do this, we divide the total earnings by the number of days and the number of people working. For the first scenario:

• Total earnings: Rs. 1600
• Number of days: 5
• Number of men: 4
• Number of women: 6

Earnings per man per day = Total earnings / (Number of days * Number of men) Earnings per man per day = 1600 / (5 * 4) = Rs. 80

Earnings per woman per day = Total earnings / (Number of days * Number of women) Earnings per woman per day = 1600 / (5 * 6) = Rs. 53.33 (approx.)

For the second scenario:

• Total earnings: Rs. 1740
• Number of days: 6
• Number of men: 3
• Number of women: 7

Earnings per man per day = Total earnings / (Number of days * Number of men) Earnings per man per day = 1740 / (6 * 3) = Rs. 96.67 (approx.)

Earnings per woman per day = Total earnings / (Number of days * Number of women) Earnings per woman per day = 1740 / (6 * 7) = Rs. 41.43 (approx.)

Step 2: Calculate the number of days required for 7 men and 6 women to earn Rs. 3760. Let's assume the number of days required is "x".

Total earnings = Earnings per man per day * Number of men * x + Earnings per woman per day * Number of women * x 3760 = 80 * 7 * x + 53.33 * 6 * x

Simplifying the equation: 3760 = 560x + 319.98x 3760 = 879.98x

Dividing both sides by 879.98: x = 3760 / 879.98 x ≈ 4.27 (approx.)

Therefore, it would take approximately 4.27 days for 7 men and 6 women to earn Rs. 3760.