Question
'X' and 'Y' began a partnership with investments of Rs.
(x + 600) and Rs. (x + 300) respectively. After 6 months, 'X' added Rs. 800 to his capital, and 'Y' exited the business. At the end of the year, 'Y' got Rs. 1800 out of the total profit of Rs. 7200. What was the initial investment of 'X'?Solution
ATQ,
Ratio of profit share of 'X' and 'Y': = {6 × (x + 600) + 6 × (x + 1400)} : {6 × (x + 300)} = (2x + 2000) : (x + 300) According to question, (2x + 2000) / (x + 300) = (7200 - 1800) / 1800 (2x + 2000) / (x + 300) = 5400 / 1800 = 3 / 1 ⇒ (2x + 2000) = 3 × (x + 300) ⇒ 2x + 2000 = 3x + 900 ⇒ 1100 = x ∴ Initial investment of 'X' = x + 600 = Rs. 1700
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