find the amount and compound interest on 12000 for 2 years at the rate

1.	find the amount and compound interest on 12000 for 2 years at the rate of 20% per annum ,when the interest is compounded semi annually
Answer» SOLUTION : $\bf{\red{\underline{\underline{\bf{Given\::}}}}}$ PRINCIPAL, (P) = Rs.12000 Time, (n) = 2 years Rate, (R) = 20% p. a. $\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$ The AMOUNT and compound Interest. $\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$ Formula use : (Semi-annual) $\bf{\boxed{\bf{A=P\bigg(1+\frac{R}{100} \bigg)^{22} }}}}}$ $\mapsto\sf{A=12000\bigg(1+\cancel{\dfrac{10}{100}}\bigg)^{4} }\\\\\\\mapsto\sf{A=12000\bigg(1+\dfrac{1}{10} \bigg)^{4} }\\\\\\\mapsto\sf{A=12000\bigg(\dfrac{10+1}{10} \bigg)^{4} }\\\\\\\mapsto\sf{A=12000\dfrac{11}{10} \dfrac{11}{10} \dfrac{11}{10} \dfrac{11}{10} }\\\\\\\mapsto\sf{A=12\cancel{000}\cancel{\dfrac{14641}{10\cancel{000}}} }\\\\\\\mapsto\sf{A=12\dfrac{14641}{10} }\\\\\\\mapsto\sf{A=Rs.(12\times 1464.1)}\\\\\\\mapsto\sf{\pink{A=Rs.17569.2}}$ ∴ The amount of the Interest is Rs.17569.2.* & $\leadsto\sf{Compound\:Interest\:(C.I.)=A-P}\\\\\leadsto\sf{C.I.=Rs.(17569.2-12000)}\\\\\leadsto\sf{\pink{C.I.=Rs.5569.2}}$ ∴ The C.I of the Interest is Rs.5569.2.

find the amount and compound interest on 12000 for 2 years at the rate of 20% per annum ,when the interest is compounded semi annually

Answer»

SOLUTION :

$\bf{\red{\underline{\underline{\bf{Given\::}}}}}$

PRINCIPAL, (P) = Rs.12000
Time, (n) = 2 years
Rate, (R) = 20% p. a.

$\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$

The AMOUNT and compound Interest.

$\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$

Formula use : (Semi-annual)

$\bf{\boxed{\bf{A=P\bigg(1+\frac{R}{100} \bigg)^{2*2} }}}}}$

$\mapsto\sf{A=12000\bigg(1+\cancel{\dfrac{10}{100}}\bigg)^{4} }\\\\\\\mapsto\sf{A=12000\bigg(1+\dfrac{1}{10} \bigg)^{4} }\\\\\\\mapsto\sf{A=12000\bigg(\dfrac{10+1}{10} \bigg)^{4} }\\\\\\\mapsto\sf{A=12000*\dfrac{11}{10} *\dfrac{11}{10} *\dfrac{11}{10} *\dfrac{11}{10} }\\\\\\\mapsto\sf{A=12\cancel{000}*\cancel{\dfrac{14641}{10\cancel{000}}} }\\\\\\\mapsto\sf{A=12*\dfrac{14641}{10} }\\\\\\\mapsto\sf{A=Rs.(12\times 1464.1)}\\\\\\\mapsto\sf{\pink{A=Rs.17569.2}}$

∴ The amount of the Interest is Rs.17569.2.

$\leadsto\sf{Compound\:Interest\:(C.I.)=A-P}\\\\\leadsto\sf{C.I.=Rs.(17569.2-12000)}\\\\\leadsto\sf{\pink{C.I.=Rs.5569.2}}$

∴ The C.I of the Interest is Rs.5569.2.

find the amount and compound interest on 12000 for 2 years at the rate of 20% per annum ,when the interest is compounded semi annually

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