A, B and C start a business each investing 10,000.

A, B and C start a business each investing 10,000. After 6 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 34,200 was recorded. Find the share of B.

Quiz

Answer/Solution

9,600

Steps/Work

Ratio of the capitals of A, B and C
= 10000 × 6 + 5000 × 6 : 10000 × 6 + 6000 × 6 : 10000 × 6 + 16000 × 6
=90000 : 96000 : 156000 = 90 : 96 : 156
B’s share = (34200 × 96⁄342) = 9600
Answer A