A and B started a business in partnership by investing the capital of Rs. 35000 and Rs. 40000 respectively. After six months, C also joined them with some capital. If at the end of the year, the profit share of C is Rs. 8000 out of the total profit of Rs. 23000, then find the amount invested by C.
Let the investment of C be Rs. a. Ratio of profits of A, B and C = 35000 × 12 : 40000 × 12 : a × 6 => 70000 : 80000 : a According to question, ⇒ a/(70000 + 80000 + a) = 8/23 ⇒ 23a = 8a + 150000 × 8 ⇒ 15a = 150000 × 8 ⇒ a = Rs. 80000
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