Question
'P' joined a business with 'Q'. 'P's investment exceeded
'Q's by Rs. 900. 'P' stayed for 9 months and 'Q' for the full year. If the profit share was in the ratio 5:6 in favour of Q, determine the capital contributed by 'P'.Solution
ATQ,
Let investment of Q = Rs. a
Investment of P = a + 900
Profit ratio = [(a + 900) × 9] : [a × 12] = (3a + 2700) : 4a
ATQ,
(3a + 2700) : 4a = 5 : 6
⇒ 6 × (3a + 2700) = 5 × 4a
⇒ 18a + 16200 = 20a
⇒ 2a = 16200
⇒ a = 8100
Investment of P = 8100 + 900 = Rs. 9,000
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