| Mr. X invested a certain amount in debt and equity funds in the ratio of4:5. At the end of one year, he earned a total dividend of 30% on his investment. After one year, he reinvested the amount including the dividend in the ratio of 6: 7 in debt and equity funds. If the amount reinvested in equity funds, was Rs. 94500, what was the original amount invested in equity funds? [SBI (PO) 2011] |
A) Rs. 75000
B) Rs. 81000
C) Rs. 60000
D) Rs. 65000
E) None of these
Correct Answer: A
Solution :
| Let the amount in equity funds in the original amount be Rs. 5x. |
| \[\because \]Profit at the end of first year \[=9x+\frac{30}{100}=\text{Rs}\text{. 2}\text{.7}x\] |
| Amount \[=9x+2.7x=11.7x\] |
| \[\because \]Equity fund at the end of first year \[=\frac{7\times 11.7x}{13}\] |
| According to the question, |
| \[\frac{7\times 11.7x}{13}=94500\] |
| \[\Rightarrow \] \[x=\text{Rs}\text{. 15000}\] |
| \[\therefore \]Amount invested in equity funds |
| \[=5x=5\times 15000=\text{Rs}\text{.}\,\,75000\] |
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