Question

The simple interest on a certain sum of money For 3 years at 5% per annum is 1200 find amount due and compound interest on a sum of money at same rate and after 2 year interest is reckoned annually​

Answer 1

Answer:

8000=amount of simple intrest, and total compound intrest is 820

Step-by-step explanation:

simple intest of 8000 for 3 year 5% and si=1200

compound intrest is of 2year is 820 for first year 400 and second year is 420 the total compund intrest of two year is 820

Answer 2

EXPLANATION.

• GIVEN

simple intrest on a certain sum of money

for 3 years at 5% p.a annum is 1200

To find amount due and compound intereston a sum of money at the same rate and after 2 years intrest is reckoned annually.

According to the question,

Let RS x be the sum of the money

Rate = 5%

Rs = 1200

n = 3 years

simple intrest =

$\bigstar\orange{\boxed{amount = \frac{p \times r \times t}{100}}}$

$1200 = \frac{x \: \times 5 \times 3}{100}$

$x = \frac{120000}{15}$

x = 8000

amount due and compound interest

on a sum of money at the same rate

and after 2 years.

p = RS = 8000

Rate = 5% p. a

n = 3 years

$\bigstar\orange {\boxed{a = p(1 + \frac{r}{100} ) {}^{n}}}$

$a \: = 8000(1 + \frac{5}{100}) {}^{2}$

$a \: = 8000 \: \times \: 1.1025$

$a \: = 8820$

C. I = A - P

C. I = 8820 - 8000

C. I = 820

The amount after 2 years is ₹ 8820

The compound interest is ₹ 820