Question: 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]
Options:
A) Rs. 75000
B) Rs. 81000
C) Rs. 60000
D) Rs. 65000
E) None of these
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Answer:
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}=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=Rs\text{. 15000} $
$ \therefore $ Amount invested in equity funds
$ =5x=5\times 15000=Rs\text{.}75000 $