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If 8 (P’s Capital) = 10 (Q’s Capital) = 12 (R’s Capital), then out of the total profit of Rs 2590, R will receive ____.

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Detailed Solution

Given that 8 (P’s Capital) = 10 (Q’s Capital) = 12 (R’s Capital). Then, the relation is given by,

8 p = 10 q = 12 r 4 p = 5 q = 6 r

Then, from the equation,

4 p = 5 q q = 45 p

4 p = 6 r r = 2 p 3

Hence, the ratio is given by,

p : q : r = p : 4 p 5 : 2 p 3

.
To simplify the given ratio, multiply by 15, and divide by p, we get

p : q : r = 15 : 12 : 10

Let x be the profit earned by each.

15 x + 12 x + 10 x = 2590 37 x = 2590 x = 70

So, R’s share in total profit is,

10 x = 10 (70) = 700

Hence, the R’s share in total price is Rs.200.

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