Question

find the c.I on rs.100600 for 2year at 10% per annum when compounded half yearly​

Answer 1

Step By Step Explanation

Principal - ₹100600

Rate = 10% p.a.

Time = 2years

Compounded = Half-yearly.

Formula for calculating Compound Interest when compounded half-yearly is given by

C.I. = {P(1+ R/200)^2n - P}

C.I. = {100600(1+ 10/200)^2×2 - P}

C.I. = {100600(1+ 1/20)⁴ - P}

C.I. = {100600(21/20)⁴ - P}

C.I. = {100600(21⁴/20⁴) - P}

C.I. = {100600×194481/160000 - P}

C.I. = {97823943/800 - P}

C.I. = 97823943/800 - 100600

C.I. = 17343943/800

C.I. = ₹21679.93(approx).

Answer 2

Hi Mate ! Here is your Solution :

Given :

• Principle = ₹100600
• Time = 2years
• Rate = 20% pa
• amount Change time = half yearly

To Find :

We have to find the compound interest on the principle.

Formula :

We will use the formula of Compound Interest 'Amount' .

$\large\blue{ \underline{ \boxed{ \tt{amount = p(1 + \frac{r}{100} {)}^{t}}}}}$

Solution :

Given, Principle = 100600

Time = 2years

rate = 10% pa.

As Given, The Principle is compounded half yearly,

This means,

The time period of change = 4

The rate to be considered = 5%

$\large\tt{ \implies a = p(1 + \frac{r}{100} {)}^{t}}$

$\large{ \tt{ \implies a = 100600(1 + \frac{5}{100} {)}^{4} }}$

$\large \tt{ \implies a = 100600(1 + \frac{1}{20} {)}^{4} }$

$\large \tt{ \implies a = 100600( \frac{21}{20} {)}^{4} }$

$\large{ \tt{ \implies a = 100600 \times \frac{194,481}{160000} }}$

$\tt{ \implies a = 0.62875 \times 194,481}$

$\tt{ \implies amount = 122,279.92875}$

Hence, Amount on CI = 122,279.92875

As we know, CI = A-P

$\tt{ \implies ci = 122,279.92875 - 100600}$

$\green{ \underline{ \boxed{ \tt{ \therefore \: ci = 21,679.92875}}}}$

Hence,

Compound Interest ≈ 21,679.93