Question
R and S began a business with Rs. 2500 and Rs. 5000.
After 8 months, T joined with Rs. ‘x’. If the total annual profit was Rs. 2700 and S’s share was Rs. 1350, then find the value of ‘x’.Solution
Ratio of investments R : S : T = 2500 : 5000 : x Profit share ratio = (2500 × 12) : (5000 × 12) : (x × 4) = 30000 : 60000 : 4x = 7500 : 15000 : x So, [15000 / (7500 + 15000 + x)] = 1350/2700 => 15000 / (22500 + x) = 1/2 => 30000 = 22500 + x => x = 7500 So, the value of ‘x’ is Rs. 7500
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