Question
'A' and 'B' entered into a partnership where 'A' invested Rs. 1,500 more than 'B'. 'A' stayed in the business for 8 months, while 'B' stayed for the entire year. If the profit was divided in the ratio 7:8 in favour of B, find the investment of 'A'.
Solution
ATQ,
Let the investment of 'B' be Rs. a.
Investment of 'A' = Rs. (a + 1500)
Ratio of profit share = [(a + 1500) × 8] : [a × 12] = (2a + 3000) : 3a
ATQ,
(2a + 3000) : 3a = 7 : 8
⇒ 8 × (2a + 3000) = 7 × 3a
⇒ 16a + 24000 = 21a
⇒ 5a = 24000
⇒ a = 4800
Therefore, investment of 'A' = 4800 + 1500 = Rs. 6,300
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