Mark ( ) against the correct answer in the following: The simple … - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer in the following: The simple interest at $x\%$ per annum for $x$ years will be $Rs. x$ on a sum of:

A
$\text{Rs. x}$
B
$\text{Rs. 10x}$
C
$\text{Rs. 100x}$
✓
$\text{Rs.}\Big(\frac{100}{\text{x}}\Big)$

✓

Answer

Correct option: D.

$\text{Rs.}\Big(\frac{100}{\text{x}}\Big)$

Let the sum be $Rs. P$
Times $= x$ years
Rate of interest
$r = x \%$ per annum
$S.I. = Rs. x$
$\text{S.I.}=\frac{\text{P}\times\text{R}\times\text{T}}{100}$
$\Rightarrow\text{P}=\frac{\text{x}\times\text{100}}{\text{x}\times\text{x}}$
$\text{P}=\text{Rs. }\frac{100}{\text{x}}$

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