Q137
A started a business with a capital of Rs. 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 : 4 : 5. What is the sum (in Rs.) of the capitals invested by B and C?
A.
8,46,000
B.
8,60,400
C.
8,64,000
AnswerD.
8,40,060
Answer: Option C
Solution
Answer: Option C
Solution:
\begin{array}{*{20}{c}}
{}&{\text{A}}&:&{\text{B}}&:&{\text{C}} \\
{{\text{Profit}} \to }&1&:&4&:&5 \\
{{\text{Duration}} \to }&{12}&:&8&:&6 \\
{{\text{Investment}} \to }&{\frac{1}{{12}}}&:&{\frac{4}{8}}&:&{\frac{5}{6}} \\
{}&2&:&{12}&:&{20}
\end{array}Investment by B and C = 12 + 20 = 32 units
2 units → 54,000
1 unit → 27,000
32 units → 32 × 27,000 = 8,64,000
Sum of investment by B and C = Rs. 8,64,000