Question

The price of a pair of trousers was decreased by $22\%$ to 30$. What was the original price(approx.) of the trousers?

• A. $28.5$
• B. $24.6$
• C. $38.5$
• D. None of these

Answer 1

The correct option is C $38.5$

Let $x$ be the original price and $y$ be the absolute decrease. If the price was decreased to $\$30,$ then

$\Rightarrow$ $x-y=30$ ---- ( 1 )

$y$ is given by

$\Rightarrow$ $y=22\%$ of $x$

$\Rightarrow$ $y=\frac{22}{100}\times x=0.22x$

Substituting value of $y$ in ( 1 ) we get,

$\Rightarrow$ $x-0.22x=30$

$\Rightarrow$ $0.78x=30$

$\Rightarrow$ $x=\frac{30}{0.78}$

$\Rightarrow$ $x=\$38.5$