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 Y’s investment be Rs. a.
Then, X’s investment = a + 1800
Profit ratio = [(a + 1800) × 6] : [a × 12] = (3a + 5400) : 6a
ATQ,
(3a + 5400) : 6a = 3 : 4
⇒ 4 × (3a + 5400) = 3 × 6a
⇒ 12a + 21600 = 18a
⇒ 6a = 21600
⇒ a = 3600
Investment of X = 3600 + 1800 = Rs. 5,400
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