Question

find the simple and compound intrest for 50,000 princepal ,8 present per annum and 5 years time


find simple and compound interest​

Answer 1

Given that :

Principal = ₹50,000

Rate = 8% per annum

Time (n) = 5 years.

Note that :

Simple Interest = S.I

Compound Interest = C.I

Solution:

1) Finding simple interest ,

To find :

Simple Interest

We will put formula ,

$S.I = \frac{p \times r \times n}{100}$

$S.I = \frac{50,000 \times 8 \times 5}{100}$

$S.I = ₹20,000$

Hence , the simple interest = ₹20,000.

______________

2) Finding compound Interest,

To find :

Compound Interest

We will put formula ,

$p(1 + \frac{r}{100} ) {}^{n}$

$\implies 50,000( \frac{108}{100} ) {}^{5}$

$\implies 50,000 \times \frac{108}{100} \times \frac{108}{100} \times \frac{108}{100} \times \frac{108}{100} \times \frac{108}{100}$

$\implies 5 \times 108 \times 108 \times \frac{27}{25} \times \frac{27}{25} \times \frac{27}{25}$

$\frac{1,147,912,560}{25 \times 25 \times 25}$

$\implies ₹43,466.$

Hence , the compound interest = ₹ 43,466.

Note: Refer to the attachment for the calculations.