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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 C
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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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