Question
A started a business with an investment of Rs 32,000.
After 2 months B joins in with 5/8 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 12,000. After an year, If C received Rs 12,000 as his share then what was the total profit?Solution
Ratio equivalent capitals of A, B and C for 1 month = (32,000×2+ 28,000×2+16,000×8) : (5/8× 32,000 ×10)∶(8,000×8) = (64,000+56,000+1,28,000) ∶2,00,000∶64,000 = 2,48,000 : 2,00,000 : 64,000 = 31:25: 8 If the total profit at the end of the year be Rs x, then (8 x)/((31+25+8)) = 12,000 ⇒ 8x = 12,000 × 64 ⇒x = (12,000 × 64)/8 = Rs 96,000
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