Question

If 3 men with 4 boys can earn Rs. 2940 in 7 days and 5 men with 9 boys earn Rs. 4620 in 6 days. In how many  days will 5 men with 3 boys earn  Rs. 1180?

A 2 days Correct Answer Incorrect Answer
B 3 days Correct Answer Incorrect Answer
C 4 days Correct Answer Incorrect Answer
D 6 days Correct Answer Incorrect Answer

Solution

By chain rule,   (3 M + 4 B) × 7/2940 = (5 M + 9B ) × 6/4620    33M+44B=30M+54B   3M=10B   M:B = 10:3    (3 M + 4 B) × 7/2940 = (5 M + 3B ) × T/1180    (3 x 10+ 4 × 3) ×7/2940 = (5 × 10 + 3 × 3) × T/1180    (52) × 7/2940 = (59) × T/1180    So T = 2 days

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