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Comparing Quantities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSComparing Quantities1 Mark
MCQ
For calculation of interest compounded half yearly, keeping the principal same, which one of the following is true.
  • A
    Double the given annual rate and half the given number of years.
  • B
    Double the given annual rate as well as the given number of years.
  • C
    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.
✓

Answer

Correct option: D.
Half the given annual rate and double the given number of years.
If interest is compounded half-yearly, then $\text{R}=\frac{\text{R}}{2}$ and $T = 2T = 2n$ Now, the amount will be
$\text{A}=\text{P}\Big(1+\frac{\text{R}}{100}\Big)^{2\text{n}}$
$C = A - P$
So, half the given annual rate and double the given number of years.
Hence, option $(d)$ is correct

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