A, B and C become partners in a business. A contributes $\Large\frac{1}{3}$rd of the capital for $\Large\frac{1}{4}$th of the time. B contributes $\Large\frac{1}{5}$th of the capital for $\Large\frac{1}{6}$th of the time and C the rest of the capital for the whole time. If the profit is Rs. 1820, then the A’s share in profit is ?
A. Rs. 130 B. Rs. 260 C. Rs. 292 D. Rs. 304 Answer: Option BShow Answer
Solution(By Apex Team)
Let the total capital of A, B and C = 15 units
Let total time for investment = 12 units
Now, According to the question,
Capital Investment of A = $\Large\frac{1}{3}$$\times 15=5$ units
Capital Investment of B = $\Large\frac{1}{5}$$\times 15=3$ units
Capital Investment of C = 15 – (5 + 3) = 7
A’s Capital Invested for time = $\Large\frac{1}{4}$$\times 12=3$ units
B’s Capital Invested for time = $\Large\frac{1}{6}$$\times 12=2$ units
C’s Capital Invested all the time. i.e = 12units
∴ Profit ratio of A : B : C = (5 × 3) : (3 × 2) : (7 × 12)
= 15 : 6 : 84
= 5 : 2 : 28
Total profit = 5 + 2 + 28 = 35 units
Also, total profit = Rs. 1820 (given)
$\begin{aligned}&35\text{ units }=\text{ Rs. }1820\\
&1\text{ unit }=\frac{1820}{35}=Rs.52\end{aligned}$
Hence, A’s share in profit
$\begin{array}{l}
=5 \text { units } \\
=52 \times 5 \\
=\text { Rs. } 260
\end{array}$
[oceanwp_library id=”5724″]
