Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Partnership > Miscellaneous

1. A, B and C become partners in a business. A contributes $\frac{1}{3}$ rd of the capital for $\frac{1}{4}$ th of the time. B contributes $\frac{1}{5}$ th of the capital for $\frac{1}{6}$ 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

Solution:

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 =

\frac{1}{3} \times 15

= 5units
Capital Investment of B =

\frac{1}{5} \times 15

= 3units
Capital Investment of C = 15 - (5 + 3) = 7

A's Capital Invested for time =

\frac{1}{4} \times 12

= 3units
B's Capital Invested for time =

\frac{1}{6} \times 12

= 2units
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 units = Rs . 1820 \\ 1 unit = \frac{1820}{35} = Rs .52 \\ Hence A's share in profit \\ = 5 units \\ = 52 \times 5 \\ = Rs . 260 \end{aligned}

You must login to add comments. Login now.