Out of total capital required to start a business A invested 30%, B invested $\Large\frac{2}{5}$th and C invested the remaining capital. At the end of one year sum of Rs. 4000 is earned as a profit which is 20% of the capital given by B, then find how much C invested in the business ?
A. Rs. 25000 B. Rs. 10000 C. Rs. 15000 D. Rs. 12450 Answer: Option CShow Answer
Solution(By Apex Team)
Total profit = Rs. 4000
According to the question,
$\begin{array}{l}
20 \% \text { of B’s capital }=\text { Rs. } 4000 \\
1 \% \text { of B’s capital }=\text { Rs. } \frac{4000}{20}
\end{array}$
B’s total capital
$\begin{array}{l}
=\text { Rs. } \frac{4000}{20} \times 100 \\
=\text { Rs. } 20000
\end{array}$
Let total capital required for business = 100 units.
$\begin{array}{c}
&\mathrm{A}\quad: \quad \mathrm{B} \quad: \quad \mathrm{C} \\
\text { Capital } & 30\quad: \quad 40\quad: \quad 30 \\
&\times 500: \times 500: \times 500 \\
\hline &15000: 20000: 15000
\end{array}$
Hence, Required capital for C = Rs. 15000
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