Question

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.

Answer 1

Let the marked price be x.

Discount Percent = `"Discount"/"Marked Price"` × 100

20 = `"Discount"/x` × 100

Discount = `20/100 xx x = 1/5 x`

Also

Discount = Marked price − Sale price

`1/5` x = x - Rs 1600

x - `1/5` x = Rs 1600

`4/5` x = Rs 1600

x = Rs `(1600 xx 5/4)` = Rs 2000

Thus, the marked price was Rs 2000.

Answer 2

Given selling price = Rs 1600

Discount = 20%

Let marked price = x

x − `(20x)/100` = 1600

`(100x−20x)/100` = 1600

or 80x = 160000

x = `160000/80`

or x = 2000

Hence the marked price = Rs 2000.