Tick (✓) the correct answer :

Question:

Mark (✓) against the correct answer:

A number decreased by 30% gives 84. The number is

(a) 90

(b) 110

(c) 120

(d) 135

Solution:

(c) 120

Let the required number be $x$

$x-(30 \%$ of $x)=84$

$\Rightarrow\left\{x-\left(x \times \frac{30}{100}\right)\right\}=84$

$\Rightarrow\left(x-\frac{30 x}{100}\right)=84$

$\Rightarrow \frac{70 x}{100}=84$

$\Rightarrow x=\left(84 \times \frac{100}{70}\right)$

$\Rightarrow x=120$

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