Question

Let us calculate the compound interest and amount on Rs 1600 for 1½ years at the rate of 10% compound interest per annum compounded at the interval of 6 months.​

Answer 1

$\Large{\underline{\underline{\bf{AnSweR:-}}}}$

C. I. = 168.2 ans.

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

❥ P(principal) = ₹1,600

❥ R(rate) = 10%.

❥ N(time) = 1½ years.

$\Large{\underline{\underline{\bf{To Find:-}}}}$

❥ The compound interest which is compounded half - yearly.

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

We know that,

─── ❖ ── ✦ ── ❖ ───

${ \underline{ \boxed{ \black{ \sf{amount = p (1 + { \frac{r}{100} }^{n} ) }}}}}$

Where,

↠P(principal) = ₹1,600

↠R(rate) = 5%.

↠ N(time) = 3years.

Note :

As it is compounded half yearly therefore, rate is divided by 2 and time is 3 years.

❥ Procedure :

Substituting the given values as follows :

$\dashrightarrow \sf \: a = 1600(1 + { \frac{ \cancel5}{ \cancel{100}} )}^{3} \\ \dashrightarrow \sf \: a = 1600 \times (1 + \frac{1}{20} {)}^{3} \\ \dashrightarrow \sf \: a = 16 \cancel {00} \times \frac{21}{20} \times \frac{21}{2 \cancel 0} \times \frac{21}{\cancel{20}} \\ \dashrightarrow \sf \: a = 178.2$

We also know that :

↠ C. I. = Amount - Principal

↠ C. I. = 1768.2 - 1,600

↠ C. I. = 168.2

$\mathfrak{\huge{\purple{\underline{\underline{Hence}}}}}$

Answer is 168.2

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Answer 2

Let us calculate the compound interest and amount on Rs 1600 for 1½ years at the rate of 10% compound interest per annum compounded at the interval of 6

C. I. = 168.2