5 men and 5 women earn Rs. 660 in 3 days. 10 men and 20 women earn Rs. 3500 in 5 days. In how many days can 6 men and 4 women earn Rs. 1060?
Explanation:
Let the earnings of a man and a woman be m and q per day respectively.
5 men and 5 women in 3 days earn Rs. 660 ∴ 5 men and 5 women in 1 day earn Rs. 220 ⇒ 5m + 5w = 220 …(1)
10 men and 20 women in 5 days earn Rs. 3500 ∴ 10 men and 20 women in 1 day earn Rs. 700 ⇒ 10m + 20w = 700 …(2)
Solving (1) and (2), we get m = Rs. 18 and w = Rs. 26.
∴ 6 men and 4 women in 1 day earn = 6m + 4w = 6 × 18 + 4 × 26 = Rs. 212 ⇒ To earn Rs. 1060 they will take = 1060/212 = 5 days.
Hence, option (a).
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