Question

at what rate percent will rs 2000 amount to rs 2315.25 in 3years at compound interest ans fr class 8

Answer 1

Given A = 2000, P = 2315.25, n = 3 years.

We know that A = P(1 + r/100)^n

                        2000  = 2315.25(1 + r/100)^3

                        $\frac{2000}{2315.25} = (1 + \frac{r}{100})^3$

                        1.157625 = (1 + r/100)^3

                        (1.05)^3 = (1 + r/100)^3

                        1.05 = 1 + r/100

                        1.05 - 1 = r/100

                        0.05 = r/100

                        r = 5%.


Therefore the required rate is 5% per annum.


Hope this helps!

Answer 2

Answer:

5%

Step-by-step explanation:

P= ₹2000, A= ₹2315.25, (n) time= 3yrs

Amount= P(1+r/100) ^n

→ ₹2315.25= 2000(1+r/100) ^3

→ 2315.25/2000= (1+r/100) ^3

→ 9261/3000= (1+r/100) ^3

→ 21/20= (1+r/100) ^3

→ r/100= 21/20-1

→ r/100= 1/20

→ r/100*20/1

→ r=5%

HOPE THIS HELPS YOU.... BORAHAE