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 7 men and 5 women can earn Rs. 2730 in 6 days and 8 men and 9 women can earn Rs. 2448 in 4 days. In what time will 5 men and 12 women together earn Rs. 3927 ?

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 7 men and 5 women can earn Rs. 2730 in 6 days and 8 men and 9 women can earn Rs. 2448 in 4 days. In what time will 5 men and 12 women together earn Rs. 3927 ?

A). 6 days

B). 7 days

C). 8 days

D). 9 days


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Answered by on | Votes 0 |

7 days



Let the daily earning of a man and that of woman be x and y.
7x + 5y = 2730 ÷ 6 = 455 ..... (I)
8x + 9y = 2448 ÷ 4 = 612 .....(II)
(I)  x  9 -(II) x 5 
63x + 45y = 4095
40x + 45y = 3060
23x

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