The difference between the compound interest and simple interest on a

1.	The difference between the compound interest and simple interest on a certain sum for3 years at 5% per annum is * 289. Find the sum.
Answer» <P>Step-by-step EXPLANATION: CI = A-P = P(1+R/100)^n-P SI= PRT/100 DIFFERENCE = CI-SI 289= {P(1+R/100)^n-P}-{PRT/100} 289=P(1+R/100)^n-1-RT/100 289= P(1+5/100)^3-1-5×3/100 289=p(1+1/20)^3-1-(3/20) 289=p(21/100)^3-17/20

The difference between the compound interest and simple interest on a certain sum for3 years at 5% per annum is * 289. Find the sum.

Answer»

<P>Step-by-step EXPLANATION:

CI = A-P

= P(1+R/100)^n-P

SI= PRT/100

DIFFERENCE = CI-SI

289= {P(1+R/100)^n-P}-{PRT/100}

289=P(1+R/100)^n-1-RT/100

289= P(1+5/100)^3-1-5×3/100

289=p(1+1/20)^3-1-(3/20)

289=p(21/100)^3-17/20

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The difference between the compound interest and simple interest on a certain sum for3 years at 5% per annum is * 289. Find the sum.​

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The difference between the compound interest and simple interest on a certain sum for3 years at 5% per annum is * 289. Find the sum.