मराठी

Calculate the Amount and the Compound Interest for the Following:

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प्रश्न

Calculate the amount and the compound interest for the following:

Rs.16, 000 at 15 °/o p.a. in `2 2/3` years

बेरीज
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उत्तर

Here, P = Rs.16, 000 ; r = 15 °/o p.a. ; t = `2 2/3` years

For the first year: t = 1 year

S.I. = `("P" xx "r" xx "t")/100`

S.I. = `("Rs"  16000 xx 15 xx 1)/100`

S.I. = Rs21 400

A=P+S.I.

=Rs ( 16,000 + 2,400) = Rs 18,400 = new principal

For the second year: t = 1 year; P=Rs 18,400

S.I. = `("P" xx "r" xx "t")/100`

S.I. = `("Rs"  18400 xx 15 xx 1)/100`

S.l. = Rs2, 760

A=P+S.I.

A=Rs (18,400 + 2,760) =Rs 21,160 =new principal

For the third year: t = 2/3 year; P=Rs 21, 160

S.I. = `("P" xx "r" xx "t")/100`

S.I. = `("Rs"  21160 xx 15 xx 2)/(100 xx 3)`

S.l. = Rs2116

A=P+S.I.

A=Rs (21, 160 + 2116) = Rs 23,276

C.l. = Interest in first year + interest in second year +

interest in third year

C.l. = Rs (2,400 + 2, 760 +2116) = Rs 7,276

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Concept of Compound Interest - Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
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