Question
A and B invested Rs. 3600 and Rs. 4800 in a business.
After 2 months, C joined with Rs. ‘x’. If A’s profit share in the total annual profit of Rs. 2600 is Rs. 650, find the value of ‘x’.Solution
Investments ratio A : B : C = 3600 : 4800 : x Profit share ratio = (3600 × 12) : (4800 × 12) : (x × 10) = 43200 : 57600 : 10x = 10800 : 14400 : 2.5x So, [10800 / (10800 + 14400 + 2.5x)] = 650/2600 => 10800 / (25200 + 2.5x) = 1/4 => 43200 = 25200 + 2.5x => 2.5x = 18000 => x = 7200 So, the value of ‘x’ is Rs. 7200
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