Question
'X' and 'Y' started a partnership business. 'X' invested
Rs. 1,800 more than 'Y'. 'X' withdrew after 6 months. If the final profit sharing ratio between X and Y was 3:4, calculate the amount invested by X.Solution
ATQ,
Let Yβs investment be Rs. a.
Then, Xβs investment = a + 1800
Profit ratio = [(a + 1800) Γ 6] : [a Γ 12] = (3a + 5400) : 6a
ATQ,
(3a + 5400) : 6a = 3 : 4
β 4 Γ (3a + 5400) = 3 Γ 6a
β 12a + 21600 = 18a
β 6a = 21600
β a = 3600
Investment of X = 3600 + 1800 = Rs. 5,400
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