A certain sum at compound interest amounts in two years to ₹ 2809 and in three years to ₹ 2977.5

English

Gujarati

Hindi

6.Interest

medium

A certain sum at compound interest amounts in two years to ₹ $2809$ and in three years to ₹ $2977.54 .$ Find the rate of interest and the original sum (In ₹).

A

$1500$

B

$2000$

C

$2500$

D

$3000$

Solution

Difference $=2977.54-2809=₹ 168.54$

$\therefore$ Rate of interest $=\frac{168.54 \times 100}{2809}=6 \%$

Let $x$ be the amount deposited

$2809=x\left(1+\frac{6}{100}\right)^{2}$

$x=\frac{2809 \times 100^{2}}{106^{2}}=2809\left(\frac{50}{53}\right)^{2}=₹ 2500$

Standard 13

Quantitative Aptitude

Share

Similar Questions

The compound interest on a sum of money for $3$ years at $5 \%$ is ₹ $1324.05 .$ What is the simple interest (In ₹) ?

medium

The simple interest accrued on a certain principal is ₹ $2,000$ in five years at the rate of $4$ percent $p.a.$ What would be the compound interest (In ₹) accrued on the same principal at the same rate in two years?

hard

The compound interest on a certain sum for $2$ years at $10 \%$ per annum is ₹ $525 .$ The simple interest (In ₹) on the same sum for double the time at half the rate percent per annum is

hard

The sum for $2$ years gives a compound interest of ₹ $3225$ at the rate of $15 \%$ per annum the amount is (In ₹)

medium

If the amount is $6 \frac{1}{4}$ times the sum after $2$ years at compound interest, the rate of interest (In $\%$) per annum is

medium