4. The difference between the compound interest and the simple interest on a certain sum for 2 years at 6% per annum is 90. Find the sum
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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
= 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 = 100/0.36*90
= 25000
thus the sum is Rs. 25000.
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