Question
A started a business with an investment of Rs 16,000.
After 2 months B joins in with 5/8th of the amount that A invested and A withdraws Rs 4,000. After 2 more months, C joins with Rs 8,000 and A again withdraws Rs 2,000. After a year, If C received Rs 3,120 as his share then what was the total profit?Solution
Ratio equivalent capitals of A, B and C for 1 month = (16000 × 2 + 12000 × 2 + 10000 × 8) : (5/8 × 16000 × 10) : (8000 × 8) => (32000 + 24000 + 80000) : 100000 : 64000 => 1,36,000 : 1,00,000 : 64,000 => 136 : 100 : 64 => 34:25:16 If the total profit at the end of the year be Rs x, then => 16x/(34+25+16) = 3120 => 16x = 3120 ×  75 => x = (3120 × 75)/16 = Rs 14,625
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