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Calculate the Arnount and the Cornpound Interest for the Following:

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Question

Calculate the arnount and the cornpound interest for the following: 

Rs 12,500 for 3 years at 12% for the first year, 15% for the second year and 17% for the third  year.

Sum
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Solution

P = Rs 12500;

(i) Interest for the first year

T = 1 year , R = 12 % for first year

=`("Rs"  12500 xx 12 xx 1)/100`

= Rs 1500

(ii) Principal for the second year

= Amount after one year

= Rs 12500 + Rs 1500

= Rs 14000

(iii) Interest for the second year

T = 1 year , R = 15 % for second year

`= ("Rs"  14000 xx 15 xx 1)/100` 

= Rs 2100

(iv) Principal for the third year

= Amount after second year

= Rs 14000 + Rs 2100

= Rs 16100

(v) Interest for the third year

T = 1 year , R = 17 % for second year

`= ("Rs"  16100 xx 17 xx 1)/100`

Therefore Amount at the end of 3rd year

= Rs 16100 + Rs 2737

= Rs 18837

Amount = Rs 18837

C.I. = A - P

= Rs (18837 - 12500)

C.I. = 6337

shaalaa.com
Concept of Compound Interest - Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
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