Arun bought a pair of skates at a sale where the discount given was \(20\) %. If the amount he pays is \(Rs\) \(1,600,\) find the marked price.
Solution and Explanation
Let the marked price be \(x\).
\(Discount\; percent = \frac{Discount}{Marked \;price} × 100\)
\(20= \frac{Discount}{x} × 100\)
\(Discount = \frac{20}{100} × x = \frac{1}{5} x\)
Also,
\(Discount = Marked \;price - Sale \;price\)
\(\frac{1}{5}x = x- Rs \;1600\)
\(x-\frac{1}{5}x = Rs\; 1600\)
\(\frac{4}{5}x = Rs \;1600\)
\(x\) = \(Rs\) \(\bigg(1600 × \frac{5}{4}\bigg) = Rs\; 2000\)
Thus, the marked price was \(Rs\; 2000\).
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