Question

If the interest is
compounded half-yearly, then how
much amount will Akash have to pay to
clear the loan of Rs 6000 orrowed at
10% per annum for 6 months?
6300 रुपए
0 6200 रुपए
0 6220 रुपए
06350 rs​

Answer 1

$\LARGE{\bf{\underline{\underline{GIVEN:-}}}}$

• Principle (P) - 6000 Rs.
• Rate (R) - 10% annum.
• Time (n) = 6 months - 1/2 years.
• Rate of interest compounded half-yearly.

$\LARGE{\bf{\underline{\underline{TO:FIND:-}}}}$

• We need to find the amount.

$\LARGE{\bf{\underline{\underline{SOLUTION:-}}}}$

We know the formula when interest is compounded half yearly:

$\implies \sf A=P \left(1+\dfrac{R \div 2}{100} \right) ^{2n}$

Substituting the values, we get:

$\sf A=6000 \left(1+\dfrac{10 \div 2}{100} \right)^{\displaystyle \not{2} \times \dfrac{1}{\not{2}} }$

$\sf A=6000(1.05)$

$\boxed{\sf{\blue{A=6300 Rs.}}}$

AKASH HAS TO PAY 6300 RUPEES.