English, asked by anedxbbutt2901, 1 year ago

What sum of money will produce rs 6912 amount in 3 years at 20% p.a compound interest?

Answers

Answered by santy2
1

Answer:

4000

Explanation:

Let P be the principal amount, A the accumulated amount, n the period of investment and I the interest rate.

The formula connecting the them is given as :

A = P(1 + i)ⁿ

In this question :

A = 6912

n = 3

i = 20%

Doing the substitution we have :

6912 = P(1.20)³

P = 6912/1.20³

P = 4000

The amount that will yield 6912 at a rate of interest 20% in 3 years compounded annually will be :

= 4000

Answered by topanswers
3

Answer:

Rs.4000.

Explanation:

Given details:

Final Amount is Rs.6912

Rate of interest is 20% per annum, compounding annually.

Term of deposit is 3 years.

Required formula:

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

A is Final amount = 6912

P is Principal amount

r is rate of interest = 20

n is no. of years of deposit = 3

Solution:

6912 = P ( 1 + 20/100)^3

6912 = P (1 + 0.2)^3

6912 = P (1.2)^3

P = 6912 / 1.728

P = 4000

Answer:

So, the sum of money that will produce Rs.6912 in 3 years at 20% p.a of compound interest is Rs.4000.

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