(C) Let the initial investment be $P$ ₹.After the first year,the value becomes $P \times (1 + 12/100) = P \times 1.12$.After the second year,the value

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(C) Let the initial investment be $P$ ₹.After the first year,the value becomes $P \times (1 + 12/100) = P \times 1.12$.After the second year,the value becomes $(P \times 1.12) \times (1 + 9/100) = P \times 1.12 \times 1.09$.Given that the final value is ₹ $97,664$,we have the equation: $P \times 1.12 \times 1.09 = 97664$.$P \times 1.2208 = 97664$.$P = 97664 / 1.2208$.$P = 80000$.Therefore,the initial investment was ₹ $80,000$.

Competitive Quantitative Aptitude Interest Simple Interest

Medium

An investor invested his savings in the stock market. The value of his investments increased by $12 \%$ and $9 \%$ in the first year and the second year respectively. If the value of his investments after two years became ₹ $97,664$,then how much had he invested (in ₹)?

A
$81000$
B
$75000$
C
$80000$
D
$72000$

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Simple Interest

The simple interest on a sum of money is $\frac{1}{9}$ of the principal and the number of years is equal to the rate per cent per annum. The rate per cent per annum is equal to

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Dalajit lent ₹ $10800$ to Jaabir for $3$ $years$ and ₹ $7500$ to Kabir for $2$ $years$ on simple interest and received ₹ $1422$ in all from both of them as interest. The rate of interest (in $\%$) per annum is

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The effective annual rate of interest (in $\%$) corresponding to a nominal rate of $13 \%$ per annum payable half-yearly is:

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If $A$ borrowed $₹P$ at $x\%$ and $B$ borrowed $₹Q$ $(Q > P)$ at $y\%$ per annum at simple interest at the same time,then the amount of their debts will be equal after:

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$A$ sum of $Rs. 1500$ amounts to $Rs. 3000$ in five years at a certain rate of simple interest. If the rate of interest is increased by $1 \%$,the same sum in the same time would amount (in $Rs.$) to:

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An investor invested his savings in the stock market. The value of his investments increased by $12 \%$ and $9 \%$ in the first year and the second year respectively. If the value of his investments after two years became ₹ $97,664$,then how much had he invested (in ₹)?

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