Question

Find the sum that yields an interest of ruppess 170 after 2 years at the rate of 25/2 per annum interest being compounded annually

Answer 1

Answer: the principal was 640 rupees

Step-by-step explanation:

Let the principal be P. Then,

P(1+r/100)^T-P= interest

P(1+125/1000)^2-P=170

81/64P-P=170

81-64/64P=170

17P/64=170

P=170*64/17

P=640

Answer 2

Answer:

principal value -₹170

time- 2 years

rate - 25/2 %

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

$a = 170(1 + \frac{25}{200} )2$

$a = 170( \frac{9}{8} )2$

$a = 170 \times \frac{9}{8} \times \frac{9}{8}$

Amount = ₹ 215.15

Compound Interest - ₹ Amount -- Principal value

ci = 215.15 - 170

CI = ₹ 45.15

2 -

Interest - ₹ 170

Rate - 25/2 %

time - 2 years

Principal value - ?

so that,

a= p(1+r/100)n

p + 170 = p(1+225/200)^2

p + 170 = p(9/8)^2

(p + 170 )= p × 9/8 × 9/8

P = ₹ 640

hope it will help you ❣️