Discussion Forum



1)

A, B and C start a business each investing Rs. 20,000. After 5 months A withdrew Rs. 5000, B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each.


A) $20500:20600:30000$

B) $20500:21200:28200$

C) $20000:20000:28000$

D) $28200:21200:20500$

Answer:

Option B

Explanation:

Ratio of the capitals of $A$, $B$ and $C$

$=20000\times 5+15000\times 7$ $:20000\times 5+16000\times 7$ $:20000\times 5+26000\times 7$

$=205000:212000:282000$

$=205:212:282$.

A's share = Rs. $\left(69900\times\frac{205}{699}\right)$ = Rs. 20500.

B's share = Rs. $\left(69900\times\frac{212}{699}\right)$  = Rs. 21200.

C's share = Rs $\left(69900\times\frac{282}{699}\right)$  = Rs. 28200.