(A) Let the original deposit be $Rs. x$.Since the time period $T$ is the same for both cases,the Simple Interest $(SI)$ formula is $\frac{P \times R \

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(A) Let the original deposit be $Rs. x$.Since the time period $T$ is the same for both cases,the Simple Interest $(SI)$ formula is $\frac{P \times R \times T}{100}$.Given that the interest income remains the same:$\frac{x \times 5 \times T}{100} = \frac{4000 \times 4.5 \times T}{100}$Canceling $T$ and $100$ from both sides:$5x = 4000 \times 4.5$$5x = 18000$$x = \frac{18000}{5} = 3600$Therefore,the original deposit was $Rs. 3600$.

Competitive Quantitative Aptitude Interest Simple Interest

Medium

When the rate of interest in a bank is reduced from $5 \%$ p.a. to $4.5 \%$ p.a.,Bani deposited $Rs. 4000$ in her savings account. She found that the new interest income remained the same as before. Find her original deposit (in $Rs.$)?

A
$3600$
B
$3150$
C
$2980$
D
$2768$

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Interest

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Medium

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When the rate of interest in a bank is reduced from $5 \%$ p.a. to $4.5 \%$ p.a.,Bani deposited $Rs. 4000$ in her savings account. She found that the new interest income remained the same as before. Find her original deposit (in $Rs.$)?

Similar Questions

$A$ money lender lends ₹ $400$ for $3$ $years$ to a person and ₹ $500$ for $4$ $years$ to another person at the same rate of simple interest. If altogether he receives ₹ $160$ as interest,what is the rate of interest per annum (in $\%$)?

The population of a town is $11200$. It increases by $25\%$ in the first year and decreases by $15\%$ in the second year. What is the population of the town at the end of $2$ years?

Divide $Rs. 4758$ into three parts such that their amounts after $2, 3,$ and $4$ years respectively are equal,given the rate of interest is $5 \%$ per annum. Find the amount of the $1^{\text{st}}$ part (in $Rs.$).

$A$ sum of money lent out at simple interest amounts to ₹ $720$ after $2$ $years$ and to ₹ $1,020$ after a further period of $5$ $years$. The sum is (In ₹)

$A$ sum of money invested at $S.I.$ accrued to $Rs. 800$ in $3$ years and to $Rs. 840$ in $4$ years. The rate of interest (in $\%$) per annum is:

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