# Ex.8.2 Q9 Comparing Quantities Solution - NCERT Maths Class 8

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## Question

Arun bought a pair of skates at a sale where the discount given was $$20\%$$.If the amount he pays is $$\rm{Rs}\, 1,600$$ find the marked price.

Video Solution
Comparing Quantities
Ex 8.2 | Question 9

## Text Solution

What is known?

Discount percentage $$= 20\%$$

Amount paid by Arun to buy skates is $$\rm{Rs}\, 1,600$$

What is unknown?

Marked Price of a pair of skates

Reasoning:

Assuming the marked price as $$x$$ and equating marked price minus discount to $$1600$$, value of $$x$$ (Marked price) can be found.

Steps:

Let the Marked price of a pair of skates be $$x$$

Discount percentage is $$20\%$$

Therefore,

M.P. of skates $$-$$ Discount $$= 1600$$    (Discount $$=$$ Discount $$\% \times$$ M.P.)

\begin{align}x - 8\% \times x &= {\rm{1600}}\\x - \frac{8}{{100}} \times x &= 1600\\\frac{{{\rm{80}}}}{{{\rm{100}}}} \times x &= {\rm{1600}}\\x &= {\rm{1600}} \times \frac{{{\rm{100}}}}{{{\rm{80}}}}\\x &= 2000\end{align}

Marked price $$= {\rm{Rs}}\;2000$$

Therefore, the Marked Price of a pair of skates is $$\rm{Rs}\, 2000$$.

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