Question
A and B entered into a business investing Rs. (x + 70)
and Rs. (x – 40) respectively. After one year they invested Rs. 120 more and Rs. 100 more respectively. After 2 years, ratio of the profit shares of A to B is 9:4. Find the value of x.Solution
Ratio of profit share of A to B = [x + 70 + x + 70 + 120]:[x – 40 + x – 40 + 100] = [2x + 260]:[2x + 20] According to question; (2x + 260)/(2x + 20) = 9/4 => 8x + 1040 = 18x + 180 => 10x = 860 => x = 86
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