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Neena'S Savings Increases by Rs 1,000 Every Year. If She Saves Rs 4,000 in the First Year and Invests It at 15% Compound Interest, Find Her Total Savings at the End of the Third Year. - Mathematics

Sum

Neena's savings increases by Rs 1,000 every year. If she saves Rs 4,000 in the first year and invests it at 15% compound interest, find her total savings at the end of the third year.

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Solution

P =Rs. 4,000 ; R = 15% p.a. ; T = 3 years 

Interest for the 1st year 

`= "Rs"  (4000 xx 15 xx 1)/100`

= Rs 600

Principal for the second year

= Amount at the end of one year + her new savings

= Rs. 4,000 + Rs. 600 +Rs. 5,000 =Rs. 9,600 

Interest for the seoond year 

`= ("Rs"  9600 xx 15 xx 1)/100`

= Rs 1, 440 

Compound interest for seoond year =Rs. 1,440 

Principal for the third year

= Amount at the end of two years + her new savings

=Rs. 9,600 +Rs. 1,440 +Rs. 6000 =Rs. 17.040 

Interest for the third year 

`= "Rs"  (17040 xx 15 xx 1)/100`

= Rs 2,556 

Sum due at the end of third year = her savings at the end of third year

= Rs. 17,040 +Rs. 2,556 =Rs 19,596 

Concept: Concept of Compound Interest - Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 1 Compound Interest
Exercise 1.3 | Q 9 | Page 10
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