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What sum of money will amount to ₹ 11,025 in 2 years at 5% p.a. compounded annually? - Mathematics

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Question

What sum of money will amount to ₹ 11,025 in 2 years at 5% p.a. compounded annually?

Sum
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Solution

Given:

  • Amount (A) = ₹ 11,025
  • Time (n) = 2 years
  • Rate (R) = 5% per annum
  • Interest is compounded annually

Compound Interest:

`A = P(1 + R/100)^n`

`11025 = P(1 + 5/100)^2` 

= P(1.05)

= P × 1.1025

⇒ `P = 11025/1.1025`

⇒ P = ₹ 10,000

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Chapter 2: Compound Interest - EXERCISE 2A [Page 24]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 2 Compound Interest
EXERCISE 2A | Q 13. | Page 24
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