(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 \

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(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
$2768$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Interest

Subtopic

Simple Interest

₹ $8000$ amounts to ₹ $9200$ in $3$ years at simple interest. If the interest rate is increased by $3 \%$,to how much would it amount (in ₹)?

Medium

View Solution

$A$ certain sum becomes $5$ times in $3$ years at simple interest. In how many years will it become $13$ times?

Easy

View Solution

If the simple interest on ₹ $x$ at a rate of $a \%$ for $m$ years is same as that on ₹ $y$ at a rate of $a^2 \%$ for $m^2$ years,then $x: y$ is equal to

Difficult

View Solution

Brinda borrowed ₹ $1000$ to build a hut. She pays $5 \%$ simple interest. She lets the hut to Ramu and receives a rent of ₹ $12 \frac{1}{2}$ per month from Ramu. In how many years would Brinda clear off the debt?

Medium

View Solution

What principal will amount (in ₹) to ₹ $15000$ at $10 \%$ per annum in $5$ years?

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

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

₹ $8000$ amounts to ₹ $9200$ in $3$ years at simple interest. If the interest rate is increased by $3 \%$,to how much would it amount (in ₹)?

$A$ certain sum becomes $5$ times in $3$ years at simple interest. In how many years will it become $13$ times?

If the simple interest on ₹ $x$ at a rate of $a \%$ for $m$ years is same as that on ₹ $y$ at a rate of $a^2 \%$ for $m^2$ years,then $x: y$ is equal to

Brinda borrowed ₹ $1000$ to build a hut. She pays $5 \%$ simple interest. She lets the hut to Ramu and receives a rent of ₹ $12 \frac{1}{2}$ per month from Ramu. In how many years would Brinda clear off the debt?

What principal will amount (in ₹) to ₹ $15000$ at $10 \%$ per annum in $5$ years?

Vedclass Test Series

Exam Paper Generator

Online Exam Module