Question
'A' and 'B' started a business together by investing Rs.
(2x + 2000) and Rs. (x + 3000). 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 8:5 respectively. Find the value of 'x'.Solution
Ratio of profit share of 'A' and 'B' = {(2x + 2000) × 4 + 8 × 1.5 × (2x + 2000)} : {(x + 3000) × 4 + 1.5 × 8 × (x + 3000)} = (8x + 8000 + 24x + 24000) : (4x + 12000 + 12x + 36000) = (32x + 32000) : (16x + 48000) Therefore, {(32x + 32000) /(16x + 48000)} = 8/5 Or, 160x + 160000 = 128x + 384000 Or, 32x = 224000 Or, x = 7000
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