Questions & Answers

Question

Answers

A.28.5

B.24.6

C.38.5

D.None of these

Answer
Verified

In the question we are told that the price of the trousers has decreased by 22% to ${$30}$. And we are asked to find the original price of the trousers.

Now, let us assume that the original price of the trousers before the price reduction equals to ‘x’.

Then the decreased price, that is the price after reduction is given by subtracting the reduced amount from the original amount)

It is given that the decreased price is ${$30}$

Therefore, we have the equation

$x - 22\% \times x = 30$ (1)

Here we know that, $22\% = \dfrac{{22}}{{100}} = 0.22$

Now we can rewrite the equation (1) as

$x - 0.22x = 30$

$0.78x = 30$

Dividing the whole equation with 0.78, we get

$x = \dfrac{{0.78}}{{30}}$

$x \approx 38.46 \approx 38.5$

Thus, the original price of the trousers was ${$38.5}$.