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The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually is ______.

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Question

The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually is ______.

Options

  • Rs 4,000

  • Rs 4,080

  • Rs 4,280

  • Rs 4,050

MCQ
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Solution

The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually is Rs 4,080.

Explanation:

Given, principal (P) = Rs. 50000

Rate of interest (R%) = 4% per annum

Time period (T) = 2 years

We know that,

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

∴ `A = 50000(1 + 4/100)^2`

= `50000(1 + 1/25)^2`

= `50000 xx 26/25 xx 26/25`

= 80 × 26 × 26

= Rs 54080

∴ Compound interest, CI = A – P

= Rs 54080 – Rs 50000

= Rs 4080

Hence, Rs 4,080

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Chapter 9: Comparing Quantities - Exercise [Page 287]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 9 Comparing Quantities
Exercise | Q 3. | Page 287

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