Question

A, B, C enter into partnership. A invests some money at the beginning, B invests double the amount after $6$ months and C invests thrice the amount after $8$ months. If the annual profit is Rs$27,000$. C's share is (in Rs)

• A. $11,250$
• B. $9,000$
• C. $10,800$
• D. $8,625$

Answer 1

Answer: (B)

$9,000$

Let the amount A invest is Rs$x$.
Time period of investment of A is $12$ months.
Amount B invest is Rs$2$x.
Time period of investment of B is $6$ months.
Amount C investment is Rs$3$x.
Time period of investment of C is $4$ months.
Profit is divided in the ratio = Amount of investment \times Time period of investment
$P_A:P_B:P_C=x\times 12:2x\times 6:3x\times 4$
=$12x:12x:12x$
=$1:1:1$
C's share of profit = $\frac{1}{3}\times 27000=9000$