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Calculate the Amount and the Compound Interest for the Following: - Mathematics

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Question

Calculate the amount and the compound interest for the following:

Rs.13,500 at 10°10 p.a. in 2 years

Sum

Solution

Here, P = Rs.13,500 ; r = 10°10 p.a. ; t = 2 years
For the first year: t = 1 year

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

S.I. = `("Rs"  13500 xx 10 xx 1)/100`

S.I. = Rsl, 350

A=P+S.I.

=Rs ( 13,500 + 1,350) =Rs 14,850 = new principal

For the second year: t = 1 year; P=Rs 14,850

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

S.I. = `("Rs"  14850 xx 10 xx 1)/100`

S.I. = Rsl, 485

A=P+S.I.

A=Rs ( 14,850 + 1,485) = Rs 16,335

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

C.I. = Rs ( 1,350 + 1,485) = Rs 2,835

shaalaa.com
Concept of Compound Interest - Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
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Chapter 1: Compound Interest - Exercise 1.1 [Page 5]

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 1 Compound Interest
Exercise 1.1 | Q 1.02 | Page 5

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