Ram and Shyam undertook a work for Rs. 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they work to… — Answer & Discussion

Ram and Shyam undertook a work for Rs. 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they work together, then what will be the difference (in Rs.) in the amount they receive?

A1800
B2400
C2200
D1600

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CCommunity14 May 2019

Ram’s one day work = (1/5), Shyam’s one day work = (1/9)

Ram and Shyam will divide the wages in the ratio of their one day’s work = (1/5) : (1/9) = 9 : 5

Amount received by Ram = [9/(9 + 5) × 5600] = [9/14 × 5600] = Rs. 3600

Amount received by Shyam = [5/(9 + 5) × 5600] = [5/14 × 5600] = Rs. 2000

Difference in the amount = Rs. (3600 - 2000) = Rs. 1600

∴ Required difference = Rs. 1600

CCommunity26 May 2022

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