Sam invested ₹ 15000 at 10 % per annum for one year. If interest is compounded halfyearly, then am

English

Gujarati

Hindi

6.Interest

medium

Sam invested ₹ $15000$ at $10 \%$ per annum for one year. If the interest is compounded halfyearly, then the amount (In ₹) received by Sam at the end of the year will be

A

$16500$

B

$16525.50$

C

$16537.50$

D

$18150$

Solution

$A=P\left(1+\frac{R}{100}\right)^{N}$

$=15000\left(1+\frac{10}{200}\right)^{2}=15000\left(1+\frac{5}{100}\right)^{2}$

$=15000 \times\left(\frac{21}{20}\right)^{2}=\frac{15000 \times 441}{400}$

$=37.5 \times 441=₹ 16537.50$

Standard 13

Quantitative Aptitude

Share

Similar Questions

What sum will amount (In ₹) to ₹ $15916.59$ in $3$ years at compound interest, the interest for first, second and third year being $3,2$ and $1$ per cent, respectively?

medium

What will be the amount (In ₹) received on $25000$ at the rate of $20 \%$ per annum compounded yearly for $4$ years?

easy

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

A man borrows ₹ $3825$ to be paid back with compound interest at the rate of $4 \%$ per annum by the end of $2$ years into equal yearly instalments. How much will be each instalment (In ₹) ?

medium

Rohit invested some amount at the rate of $6$ per cent pa and at the end of $3$ years he got ₹ $8730$ simple interest. How much compound interest (in ₹) he will get on same amount and same rate of interest after $2$ years.

medium