Math, asked by shreya9352, 11 months ago

8,000 in 2 years at 15% per annum. without using the formula
find CI and Amount

Answers

Answered by Anonymous

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Answered by Anonymous

${\huge{\underline{\bf{\red{Answer}}}}}$

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${\bf{Compound\:Interest\:=\:Rs.5520}}$

${\bf{Amount\:=\:Rs.13520}}$

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${\huge{\underline{\bf{\red{Solution}}}}}$

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

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P = Rs. 8000

R = 15%

T = 2 years

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

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CI = ?

A = ?

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${\bf{Here,}}$

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P means Principal

R means Rate of Interest

T means Time

CI means Compound Interest

A means Amount

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${\underline{\mathfrak{\pink{Formula\:used\:here\::}}}}$

${\bf \: CI\: = \: \frac{P \times R \times T}{100} }$

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${\underline{\mathfrak{\pink{According\:to\:the\:question}}}}$

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${\bf{\blue{For\:1st\:year}}}$

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$\bf \: CI\: = \frac{8000 \times 15 \times 2}{100} \\ \\ \bf \: CI \: = 80 \times 15 \times 2 \\ \\ \bf \: CI\: = 2400 \\ \\ \bf \: CI \: after \: 1st \: year \: = Rs.2400 \\ \\ \bf A \: after \: 1st \: year \: = Rs.8000 + Rs.2400 = Rs.10400$

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${\bf{\blue{For\:2nd\:year}}}$

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$\bf \: P\: for \: 2nd \: year \: = \: rs.10400 \\ \\ \bf \: CI = \frac{10400 \times 15 \times 2}{100} \\ \\ \bf \: CI \: = 104 \times 15 \times 2 \\ \\ \bf \: CI \: = Rs.3120 \\ \\ \bf \: CI\: after \: 2nd \: year \: = Rs.3120 \\ \\ \bf \: A\: after \: 2nd \: year \: = Rs.10400 + Rs.3120 = Rs.13520$

$\bf{Total\:Interest\:=\:Rs.2400\:+\:Rs.3120\:=\:Rs.5520}$

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${\underline{\bf{\green{Hence,}}}}$

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$\bf\purple{Total\:Compound\:Interest\:=\:Rs.\:5520}$

$\bf\purple{Total\:Amount\:=\:Rs.\:13520}$

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8,000 in 2 years at 15% per annum. without using the formula
find CI and Amount