# Question #a5558

Mar 6, 2017

The regular price was Rs 37647 rounded to the nearest Rs.

#### Explanation:

We can rewrite this problem as:

Rs 32000 is 85% of what?

"Percent" or "%" means "out of 100" or "per 100", Therefore 85% can be written as $\frac{85}{100}$.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the regular price we are looking for "r".

Putting this altogether we can write this equation and solve for $r$ while keeping the equation balanced:

$32000 = \frac{85}{100} \times r$

$\frac{\textcolor{red}{100}}{\textcolor{b l u e}{85}} \times 32000 = \frac{\textcolor{red}{100}}{\textcolor{b l u e}{85}} \times \frac{85}{100} \times r$

$\frac{3200000}{\textcolor{b l u e}{85}} = \frac{\cancel{\textcolor{red}{100}}}{\cancel{\textcolor{b l u e}{85}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{85}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} \times r$

$37647 = r$

$r = 37647$ rounded to the nearest Rs.