P and Q invest in the ratio 4:5. After 6 months, P doubles his investment. If the total profit is a312,200, what is P's share?

a37,200
a37,400
a37,600
a37,800

Correct answer: a37,200

Solution

P and Q invest in the ratio 4:5. Let their investments be 4x and 5x. P's contribution is 4x d7 6 + 8x d7 6 = 72x, while Q's is 5x d7 12 = 60x, so the profit ratio is 72:60 = 6:5. Hence P's share is 6/11 of 12,200 = a37,200.

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