A alone can do a piece of work in 8 days while B alone can do it in 10 days. If they together complete this work and get ₹ 900 as their remuneration, then find the share of both the persons.

A = ₹ 800 and B = ₹ 100
A = ₹ 500 and B = ₹ 400
A = ₹ 600 and B = ₹ 300
A = ₹ 300 and B = ₹ 600

Correct Answer: A = ₹ 500 and B = ₹ 400

Explanation:

A' s 1 day's work = 1/8
B' s 1 day's work = 1/10
∴ A' s share : B' s share
= 1/8 : 1/10 = 5/40 : 4/40 = 5 : 4
Let A' s share = 5k
and B' s share = 4k.
According to the question,
5k + 4k = 900
⇒ 9k = 900
∴ k = 100
∴ A' s share = 5k = 5 x 100 = ₹ 500
and B' s share = 4k = 4 x 100 = ₹ 400.

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