Question

arun bought a pair of skates at a sale where the discount given was 20%.If the amount he pays is rs 1600,find the marked price.

Answer 1

Let the marked price be M.
discount = 20%
Price = 1600

$M= \frac{Price}{100-discount} \times 100= \frac{1600}{100-20} \times 100= \frac{1600}{80} \times 100=Rs.\ 2000$

The marked price is Rs. 2000

Answer 2

Say the marked price was $M_p$. 
He was given off 20%, so 80% was what he paid. So:

$\frac{4}5M_p=1600 \\\\ M_p=5\times\frac{1600}4 \\\\ M_p=\frac{5\times1600}4\\\\ \therefore M_p=400\times5\\=2000$

Ans: $2000