Discussion Forum



1)

Alfred started a business investing Rs. 45,000. After 3 months, Peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital ofRs. 90,000. At the end of the year, they made a profit ofRs. 16,500. Find the share of each.


A) $6600:6600:6600$

B) $3000:6000:6000$

C) $6600:6600:3300$

D) $6500:6500:3000$

Answer:

Option C

Explanation:

Clearly, Alfred invested his capital for 12 months, Peter for 9 months and Ronald for 3 months.

So, ratio of their capitals $=(45000\times 12)$ $:(60000\times 9)$ $:(90000\times 3)$

$=540000:540000:270000$ $= 2:2:1$.

Alfred's share = Rs. $\left(16500\times\frac{2}{5}\right)$ = Rs. 6600.

Peter's share = Rs. $\left(16500\times\frac{2}{5}\right)$ = Rs. 6600.

Ronald's share = Rs. $\left(16500\times\frac{1}{5}\right)$ = Rs. 3300.