Question

9. Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is ₹ 1,600, find the marked price.

Answer 1

Discount =20%

Shaktes = Rs. 1600

He get discount of 20 which means 100 % - 20%

=80 % =$\frac{100}{80}$

So,

Marked price =$\frac{100}{80} \times$ selling price

=$\frac{100}{80} \times 1600$

$=Rs 2000$

Marked price = Rs 2000

Answer 2

Amount paid by Arun to buy skates is ₹ 1,600

Let the Marked price of a pair of skates be x

Discount percentage is 20%

Therefore,

M.P. of skates - Discount = 1600 ------ (1)

where, Discount = Discount% × M.P.

Discount = 20% of x ------- (2)

From equation (1) and (2) we get,

$\sf \: x - 20\%× (x) = 1600$

$: \longrightarrow \sf x - \frac{20x}{100}= 1600$

$: \longrightarrow \sf \frac{80x}{100}= 1600$

$: \longrightarrow \sf \: x = 1600 × \frac{100}{80}$

$:\longrightarrow \sf \: x = 2000$

$\sf$

$\therefore \underline{ \red{\sf \bold{ Marked \: price = 2000}}}$