# If 4 (P’s Capital) = 6(Q’s Capital) = 10(R’s Capital), then out of the total profit of Rs 5580, what is R’s share? - Mathematics and Statistics

Sum

If 4 (P’s Capital) = 6(Q’s Capital) = 10(R’s Capital), then out of the total profit of Rs 5580, what is R’s share?

#### Solution

Let ‘p’, ‘q’ and ‘r’ be P, Q, and R’s Capital for the business respectively.

∴ 4p = 6q = 10r

L.C.M of 4, 6, 10 = 60

∴ We take 4p = 6q = 10r = 60x

∴ p = 15x, q = 10x, r = 6x

∴ p : q : r = 15 : 10 : 6

Given that total profit = ₹ 5580,

R’s share in the profit = 6/31 xx 5580

= ₹ 1080/-

Concept: Partnership
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