What will be the compound interest on Rs.12000 for 3 years, compounded annually at
10%per annum
Answers
Answer:
Compound interest =P(1+10/100)^3
=12000(100+10)^3
100
=12000x110/100x110/100x110/100
=12x11x11x11
=15972
Step-by-step explanation:
If it is right make me brilliant
GiveN:-
- Principal = Rs.12,000
- Time = 3 years
- Rate = 10% per annum
To FinD:-
The Compound Interest.
SolutioN:-
Analysis :
Here the formula for the Compound Interest us used. We have to use the correct formula then substitute the required values in their correct places and calculate. After calculating we will get our answer.
Formula Required :
Compound Interest = [P(1 + R/100)ⁿ] - P
where,
- P is Principal
- R is Rate
- n is time
ExplanatioN:-
We know that if we are given the Principal, Rate and Time and is asked to calculate the Compound Interest compounded annually then our required formula is,
Compound Interest = [P(1 + R/100)ⁿ] - P
where,
- P = Rs.12,000
- R = 10% per annum
- n = 3 years
Using the required formula and substituting the values,
⇒ Compound Interest = [P(1 + R/100)ⁿ] - P
⇒ Compound Interest = [12000(1 + 10/100)³] - 12000
⇒ Compound Interest = [12000(1 + 1/10)³] - 12000
⇒ Compound Interest = [12000(10 + 1/10)³] - 12000
⇒ Compound Interest = [12000(11/10)³] - 12000
⇒ Compound Interest = [12000(11/10 × 11/10 × 11/10)] - 12000
⇒ Compound Interest = [12000 × 11/10 × 11/10 × 11/10] - 12000
⇒ Compound Interest = [12 × 11/1 × 11/1 × 11/1] - 12000
⇒ Compound Interest = [12000 × 11 × 11 × 11] - 12000
⇒ Compound Interest = 15972 - 12000
⇒ Compound Interest = 3972
∴ Compound Interest = Rs.3,972.
Compound Interest is Rs.3,972.
Explore MorE :
- Simple Interest = P × R × T/100
- P = SI × 100/R × T
- R = SI × 100/P × T
- T = SI × 100/P × R
- I = A - P
- A = P + I
where,
- P = Principal
- R = Rate
- T = Time
- SI = Simple Interest
- A = Amount
- I = Interest