Question
A&B started a business together with a total investment
of Rupees 24,000 such that investment made by B rupees 8000 less than that by A. After four months, A reduced his investment to half while B doubled his investment and C joined by making an investment of rupees 12,000. If the difference between the profit received by A&C at the end of year is Rupees 4200, then find the total annual profit received by all of them together.Solution
Let the initial investment made by A be rupees X.\ Therefore, initial investment made by B = x-8000 Or x+x-8000=24000 2x=32000 x= 16000 Therefore, initially investment made by A&B is rupees 16,000 and rupees 8000 respectively. Ratio of profit received by A, B and C = {(16,000 * 4)+(8000 * 8.)}: {(8000*4)+(16,000 * 8.)}:(12,000 * 8) = 4:5:3 Required profit received = 4200*{(4+5+3)/(4-3)} = Rs. 50,400
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