Question 94

A and B started a business investing ₹ 10 lakhs and ₹ 15 lakhs respectively. After 6 months C joined them by investing ₹ 20 lakhs. If the profit at the end of the year is ₹ 5.6 lakhs, then the share of A in the profit (in lakhs of rupees) is

Solution

Profits are always shared in the ratio of (capital*time) ratio. 
Here, A makes an investment of Rs. 120 lakh-months, B makes an investment of 180 lakh-months and C makes an investment of 120 lakh-months. 
The ratio of investments of A, B, C thus are: 120:180:120 = 2:3:2

Hence, the ratio of A in the year end profits would be (2/7)*(5.6 lakhs) = 1.6 lakhs


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