Question
A and B entered into a business investing Rs. (x + 80)
and Rs. (x – 50) respectively. After one year they invested Rs. 70 more and Rs. 120 more respectively. After 2 years, ratio of the profit shares of A to B is 12:7. Find the value of x.Solution
Ratio of profit share of A to B = [x + 80 + x + 80 + 70]:[x – 50 + x – 50 + 120] = [2x + 230]:[2x + 20] According to question; (2x + 230)/(2x + 20) = 12/7 => 14x + 1610 = 24x + 240 => 10x = 1370 => x = 137
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