Math, asked by rrnairsa9686, 1 year ago

The difference between compound interest and simple interest on a certain sum of money at 15% per annum for 3 year is 28 3.50 find the sum

Answers

Answered by kashishkhandelwal
4
Given:

CI – SI = Rs 283.50

R = 15 %

n = 3 years

Let the sum be Rs x.

We know that:

A = P(1+R100)n

= x(1+5100)3

= x(1.15)3 …..(1)

Also,

SI = PRT100 = x(15)(3)100 = 0.45x

A = SI + P = 1.45x …..(2)

Thus, we have:

x(1.15)3 – 1.45x = 283.50 [From (1) and (2)]

1.523x – 1.45x = 283.50

0.070875x = 283.50

x = 283.500.070875

= 4000

Thus, the sum is Rs 4000.
Similar questions