Question

3. The difference between the simple interest and the compound interest on a sum of money for
2 years at 5% per annum is * 216. Find the sum.
the compound interest on a sum of money for​

Answer 1

Step by step exclamation :

Let the amount be x,

Let the amount be x,then

Let the amount be x,thensimple interest for 1.5 years

Let the amount be x,thensimple interest for 1.5 years=

Let the amount be x,thensimple interest for 1.5 years= 100

Let the amount be x,thensimple interest for 1.5 years= 100PRT

Let the amount be x,thensimple interest for 1.5 years= 100PRT

Let the amount be x,thensimple interest for 1.5 years= 100PRT =

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 =

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 100

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 year

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12x

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872x

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interest

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872x

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=150

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=1500.1872x - 0.18x =150

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=1500.1872x - 0.18x =1500.0072x=150

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=1500.1872x - 0.18x =1500.0072x=150x=

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=1500.1872x - 0.18x =1500.0072x=150x= 0.0072

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=1500.1872x - 0.18x =1500.0072x=150x= 0.0072150

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=1500.1872x - 0.18x =1500.0072x=150x= 0.0072150

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=1500.1872x - 0.18x =1500.0072x=150x= 0.0072150 =20,833.33 RS.

Let the amount be x,thensimple interest for 1.5 years= 100PRT = 100x×12×1.5 = 10018x ---(1)compound interest for 1 yearCI=x(1+r)=x(1+0.12)=1.12xfor neat 6 months CI= 1.12x(1+0.06)=1.872xnet compound interestCI=1.872x-x=0.1872xnow given CI-SI=1500.1872x - 0.18x =1500.0072x=150x= 0.0072150 =20,833.33 RS.∴ The total amount is 20,833.33 RS.