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Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find: i. the sum due to Ramesh at the end of the first year. ii. the interest he earns for the second year.

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Question

Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:

  1. the sum due to Ramesh at the end of the first year.
  2. the interest he earns for the second year.
  3. the total amount due to him at the end of the third year.
Sum
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Solution

i. For 1st year:

P = Rs. 12,800; R = 10% and T = 1 year

Interest = Rs. `[ 12,800 xx 10 xx 1]/100`

= Rs. 1,280

Amount = Rs. 12,800 + Rs. 1,280

= Rs. 14,080

ii. For 2nd year:

P = Rs. 14,080; R = 10% and T = 1 year

Interest = Rs. `[ 14,080 xx 10 xx 1]/100` = Rs. 1,408.

Amount = Rs. 14,080 + Rs. 1,408

= Rs. 15,488

iii. For 3rd year:

P = Rs. 15,488; R = 10% and T = 1 year

Interest = Rs. `[15,488 xx 10 xx 1]/[100]` = Rs. 1,548.80

Amount = Rs. 15,488 + Rs. 1,548.80 = Rs. 17,036.80

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Chapter 2: Compound Interest - EXERCISE 2A [Page 23]

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Chapter 2 Compound Interest
EXERCISE 2A | Q 1. | Page 23
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Exercise 2 (C) | Q 7 | Page 38
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