Question

A and B started a partnership business investing some amount in the ratio of $3:5$. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C ?

• A. $3:10:5$
• B. $6:15:5$
• C. $6:10:8$
• D. $6:10:5$

Answer 1

Answer: (D)

$6:10:5$

Let the initial investment of A is $3x$ and B, is $5x$, then C investment is also $5x$, but most important to note in this question is the time duration of investment
Like, A invested for $12$ months, B invested for $12$ months and C invested for $6$ months.
$A:B:C=\left(\begin{array}{c}3x\times 12\end{array}\right):\left(\begin{array}{c}5x\times 12\end{array}\right):\left(\begin{array}{c}5x\times 6\end{array}\right)$
$=36:60:30$
$6:10:5$