Question
'A' and 'B' started a business together by investing Rs. (4x + 2000) and Rs. (x + 1000). 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 10:3 respectively. Find the value of 'x'.
Solution
Ratio of profit share of 'A' and 'B' = {(4x + 2000) × 4 + 8 × 1.5 × (4x + 2000)} : {(x + 1000) × 4 + 1.5 × 8 × (x + 1000)} = (16x + 8000 + 48x + 24000) : (4x + 4000 + 12x + 12000) = (64x + 32000) : (16x + 16000) Therefore, {(64x + 32000)/(16x + 16000)} = 10/3 Or, 192x + 96000 = 160x + 160000 Or, 32x = 64000 Or, x = 2000
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