# Find the Compound Interest If the Amount of a Certain Principal After Two Years is ₹4036.80 at the Rate of 16 P.C.P.A. - Mathematics

Sum

Find the compound interest if the amount of a certain principal after two years is ₹4036.80 at the rate of 16 p.c.p.a.

#### Solution

Here, P = Principal
A = ₹ 4036.80
I = Compound Interest
R = 16 %
N = 2 years

A = P (1 + "R"/100)^"N"

= 4036.80 = P (1 + 16/100)^2

= 4036.80 = P (1 + 4/25)^3

= 4036.80  = P (29/25)^3

= P = (4036.80 xx 25 xx 25)/(29 xx 29)

= P = 3000

Also,
I = A − P
= 4036.80 − 3000
= 1036.80

Hence, the compound interest is ₹ 1036.80

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#### APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 14 Compound interest
Practice Set 14.2 | Q 5 | Page 93