Question
P and Q invested in a business with initial investments of
Rs. 1000 and Rs. ‘y’ respectively. Q withdrew his investment after 6 months. If P’s share out of an annual profit of Rs. 6300 was Rs. 4200, find the value of ‘y’.Solution
ATQ,
Ratio of investment of P and Q = 1000 : y
Ratio of profit share = (1000 × 12) : (y × 6) = 12000 : 6y = 2000 : y
So, (2000 / (2000 + y)) × 6300 = 4200
(2000 / (2000 + y)) = 2 / 3
2000 × 3 = 2(2000 + y)
6000 = 4000 + 2y
2y = 2000
y = 1000
So, the value of ‘y’ is Rs. 1000
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