Question
Annie and Ben entered into a business investing Rs. (x +
80) and Rs. (x – 40) respectively. After one year they invested Rs. 50 more and Rs. 150 more respectively. After 2 years, ratio of the profit shares of Annie to Ben is 6:5. Find the value of x.Solution
Ratio of profit share of Annie to Ben = [x + 80 + x + 80 + 50]:[x – 40 + x – 40 + 150] = [2x + 210]:[2x + 70] According to question; (2x + 210)/(2x + 70) = 6/5 => 10x + 1050 = 12x + 420 => 2x = 630 => x = 315
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