Question

The difference between the compound interest and simple interest on a certain sum for 2 years at 6% per annum is rs 90 Find the sum

Answer 1

let the sum be P = Rs. 100.

time T = 2 years, rate of interest R = 6% per annum

simple interest = PRT/ 100 = 100*6*2/100 = rs 12

compound amount= P ( 1+ R/100)t = 100 ( 1+ 6/100) 2 = 100 ( 1+ 3/50)2 = 100 ( 53/50)2 = 100* 2809/ 2500 => 112.36



therefore the compound interest = compound amount - principal

=112.36-100=12.36/-

the difference between the compound interest and simple interest = 12.36-12.00 = 0.36/-

if the difference between the CI and SI is Rs. 0.36 the principal = Rs. 100

if the difference between the CI and SI is Rs. 90 the principal =

thus the sum is Rs. 25000.

hope this helps you.

Answer 2

Answer:

The difference between compound interest and simple interest on a sum for 2 years at 6% per annum rupees 90