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For calculation of interest compounded half yearly, keeping the principal same, which one of the following is true? - Mathematics

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Question

For calculation of interest compounded half yearly, keeping the principal same, which one of the following is true?

Options

  • Double the given annual rate and half the given number of years.

  • Double the given annual rate as well as the given number of years.

  • Half the given annual rate as well as the given number of years.

  • Half the given annual rate and double the given number of years.

MCQ
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Solution

Half the given annual rate and double the given number of years.

Explanation:

If interest is compounded half-yearly, then `R = R/2` and T = 2T = 2n

Now, the amount will be

`A = P(1 + R/200)^(2n)`

 ∴ C = A – P

So, half the given annual rate and double the given number of years.

Hence, half the given annual rate and double the given number of years.

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Chapter 9: Comparing Quantities - Exercise [Page 288]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 9 Comparing Quantities
Exercise | Q 9. | Page 288

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