Question
Two friends, R and S, started a venture where R’s capital was Rs. 2,000 more than S’s. R withdrew his investment after 10 months. If the ratio of their profit shares is 11:12, then find the investment of R.
Solution
ATQ,
Let the investment of S be Rs. a.
Investment of R = Rs. (a + 2000)
Profit ratio = [(a + 2000) × 10] : [a × 12] = (5a + 10000) : 6a
ATQ,
(5a + 10000) : 6a = 11 : 12
⇒ 12 × (5a + 10000) = 11 × 6a
⇒ 60a + 120000 = 66a
⇒ 6a = 120000
⇒ a = 20000
Investment of R = 20000 + 2000 = Rs. 22,000
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