Mark ( ) against the correct answer in the following:In how much … - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer in the following:In how much time would the simple interest on a certain sum be $0.125$ times the principal at $10\%$ per annum?

✓
$1\frac14\text{ years}$
B
$1\frac34\text{ years}$
C
$2\frac14\text{ years}$
D
$2\frac34\text{ years}$

✓

Answer

Correct option: A.

$1\frac14\text{ years}$

Rate $= 10\%$ per annum
Simple interest $= 0.125 \times$ Principal
$\Rightarrow\frac{\text{Princepal}\times\text{Rate}\times\text{Time}}{100}=0.125\times\text{Principal}$
$\Rightarrow\frac{\text{Time}}{10}=0.125$
$\Rightarrow\text{Time}=1.25=1\frac14\text{ years}$

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