Q112
Out of total capital required to start a business A invested 30%, B invested 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 ?
Out of total capital required to start a business A invested 30%, B invested 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
AnswerD.
Rs. 12450
Answer: Option C
Solution
Answer: Option C
Solution:
Total profit = Rs. 4000According to the question,
\begin{aligned} & {\text{20% of B's capital}} = {\text{Rs}}{\text{.}}\,{\text{4000}} \\ & {\text{1% of B's capital}} = {\text{Rs}}{\text{.}}\,\frac{{{\text{4000}}}}{{20}} \\ & {\text{B's total capital}} \\ & = {\text{Rs}}{\text{. }}\frac{{{\text{4000}}}}{{20}} \times 100 \\ & = {\text{Rs}}{\text{. }}20000 \\\end{aligned}
Let total capital required for business = 100 units.
| A | : | B | : | C | |
| Capital | 30 | : | 40 | : | 30 |
| × 500 | : | × 500 | : | × 500 | |
| 15000 | : | 20000 | : |