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

## 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.

## 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 \(\rm{Rs}\, 2000\).