Question
'Anoop' and 'Bheem' started a business with investments
of Rs. 3250 and Rs. 3750, respectively. Four months into the business, 'Chitra' joined them with an investment of Rs. 4750. By the year's end, 'Chitra's' share of the profit amounted to Rs. 1140. Calculate the difference in profit share between 'Anoop' and 'Bheem'.Solution
ATQ, Ratio of profit shares of 'Anoop', to that of 'Bheem' and to that of 'Chitra' = (3250 × 12) :(3750 × 12) :(4750 × 8) = 39:45:38 Let the profit share of 'Anoop', 'Bheem' and 'Chitra' be Rs. '39a', Rs. '45a' and Rs. '38a', respectively. ATQ: 38a = 1140 Or, 'a' = (1140/38) = 30 So, difference between profit shares of 'A' and 'B' = 45a - 39a = 6a = 6 × 30 = Rs. 180Rs
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