4 women and 7 men earn a total of ₹11,480 in 7 days, while 10 women and 17 men earn a total of ₹36,360 in 9 days. How much will 11 women and 9 men together earn (in ₹) in 13 days?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 42640.
4W + 7M = 11480/7 = 1640
⇒ 40W + 70M = 16400 .....(1)
10W + 17M = 36360/9 = 4040
⇒ 40W + 68M = 16160 .....(2)
Subtract equation (2) from equation (1),
2M = 240
⇒ M = 120 (Daily earnings of a man)
Substitute the value of M into equation (1),
4W + 7(120) = 1640
⇒ 4W + 840 = 1640
⇒ 4W = 1640 - 840 = 800
⇒ W = 200 (Daily earnings of a woman)
Total earnings of 11 women and 9 men in 13 days = 13(11 × 200 + 9 × 120)
= 13(2200 + 1080)
= 13 × 3280
= 42640
Therefore, 11 women and 9 men together will earn ₹42,640 in 13 days.