Question

What is the compound interest 2000 and the rate is 10%per annum compounded annually for 2years​

Answer 1

Step-by-step explanation:

- a=p (1+R/100) t

- a=2000×(1+10/100)²

- a=2000×121/100

- a=rupees2420

= c.i.=a-p=rupees2420 - rupees420 = rupees 420

Answer 2

Given:-

• Principal (p) = Rs. 2000
• Time (t) = 2 years
• Rate (r) = 10%

To find:-

• Find the Compound Interest (C.I) ?

Solutions:-

We have,

The Amount (A) = p(1 + r/100)n

We know that,

=> A = p(1 + r/100)n

=> A = 2000(1 + 10/100)²

=> A = 2000(100 + 10/100)²

=> A = 2000(110/100)²

=> A = 2000 × (11/10)²

=> A = 2000 × 11/10 × 11/10

=> A = 20 × 11 × 11

=> A = 2420

The Compound Interest = C.I = Amount - Principal

According to question:-

=> C.I = 2420 - 2000

=> C.I = 420

Hence, the Compound Interest is Rs. 420.

Some Important:-

• Simple Interest = (P × R × T) ÷ 100
• Amount = SI + P
• A = {(P × R × T) ÷ 100} + P

Where,

• SI = Simple Interest
• A = Amount/Future Value
• P = Principal Amount
• R = Rate of Interest per annum
• T = Time in years