Question

find the compound interest on 2000 at 15%per annum for 1 ½ years​

Answer 1

Answer:

The compound interest is Rs 466.72

Step-by-step explanation:

P=Rs2000

R=15%

T=1.5yrs

=3/2yrs

A=P×(1+R/100)^T

=2000×(1+(15/100))^3/2

=2000×(115/100)^3/2

=2000×1.2332

=Rs 2466.72

CI=A-P

=(2466.72-2000)

=Rs 466.72

where P is the principal amount,

R is rate, T is time, A is the total amount

CI is the compound interest

Hence, the compound interest is Rs 466.72

Answer 2

Compound interest on 2000 at 15% per annum for 1 ½ years​ is Rs 472.5

Given:

• P=2000
• R = 15% per annum
• T = 1 1/2 = 1.5 years

To Find:

• Compound Interest

Solution

Step 1:

First find interest for 1st Year

SI = P x R x T /100

SI = 2000 x 15 x 1 /100

SI = 300

Step 2:

Find Amount after 1 year

2000 + 300 = 2300

Step 3:

Find interest for next 6 months (1/2 years)  on 2300 as in case of compound interest after compounding period interest gets added to principal

SI = 2300 x 15 x (1/2) /100

SI = 172.5

Step 4:

Calculate total compound interest in 1 ½ years​

300 + 172.5 = 472.5 Rs

Compound interest on 2000 at 15% per annum for 1 ½ years​ is Rs 472.5

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