Question

Please solve this ............​

Answer 1

Step-by-step explanation:

Question:-

Find the sum which amounts to Rs. 1352 in 2 years at 4% Compound Interest.

Given:-

• Amount (A) = Rs.1352

• Time (n) = 2 years

• Rate (r) = 4%

To Find:-

• Principal = ?

Solution:-

As we know that:-

The formula used to find Amount is:-

$\sf Amount = P\bigg(1 + \dfrac{r}{100}\bigg)^{n}$

Substituting the values:-

$\sf Amount = P\bigg(1 + \dfrac{r}{100}\bigg)^{n}$

$\sf 1352= P\bigg(1 + \dfrac{4}{100}\bigg)^{2}$

$\sf 1352= P\bigg( \dfrac{100 + 4}{100}\bigg)^{2}$

$\sf 1352= P\bigg( \dfrac{104}{100}\bigg)^{2}$

$\sf 1352= P\bigg( \dfrac{26}{25}\bigg)^{2}$

$\sf 1352= P\times \dfrac{26 \times 26}{25 \times 25}$

$\sf 1352= P \times \dfrac{676}{625}$

$\sf P = 1352\times \dfrac{625}{676}$

$\sf P = \dfrac{845000}{676}$

$\sf P = 1250$

Therefore:-

$\underline{\boxed{\bf Principal\: (The \: sum) = Rs.1250}}$

Additional:-

As, we have Amount and Principal. We can find the Compound Interest.

Compound Interest = Amount - Principal

= 1352 - 1250

= 102

Therefore:-

Compound Interest = Rs.102