Question
'A' and 'B' started a business together by investing Rs. (x + 4000) and Rs. (x + 2000). After 4 months, 'A' increased his investment by 50% while 'B' increased his investment by 50%. At the end of the year ratio of profit shares of 'A' and 'B' was 7:5 respectively. Find the value of 'x'.
Solution
Ratio of profit share of 'A' and 'B' = {(x + 4000) × 4 + 8 × 1.5 × (x + 4000)} : {(x + 2000) × 4 + 1.5 × 8 × (x + 2000)} = (4x + 16000 + 12x + 48000) : (4x + 8000 + 12x + 24000) = (16x + 64000) : (16x + 32000) Therefore, {(16x + 64000)/(16x + 32000)} = 7/5 Or, 80x + 320000 = 112x + 224000 Or, 32x = 96000 Or, x = 3000
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