A, B and C start a business each investing ₹ 20000. After 5 months A withdrew ₹ 5000, B withdrew ₹ 4000 and C invests ₹ 6000 more. At the end of the year, a total profit of ₹ 69900 was recorded. Find the share of each. (SNAP, 2005)
Answer
Answer (as printed):
Explanation
Ratio of the capitals of A, B and C $=20000 \times 5+15000 \times 7: 20000 \times 5+16000 \times 7: 20000 \times 5+26000 \times 7=205000: 212000: 282000=205: 212: 282$. $\therefore$ A's share $=₹\left(69900 \times \frac{205}{699}\right)=₹ 20500$; B's share $=₹\left(69900 \times \frac{212}{699}\right)=₹ 21200$; C's share $=₹\left(69900 \times \frac{282}{699}\right)=₹ 28200$.
Explanation as extracted from the printed page; notation may be imperfect.