Ex 8.2, 9 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.
Given,
Discount Percentage = 20%
Sale Price = 1600
Let the marked Price = 𝑥
Discount = Marked Price − Sale price
= 𝑥 − 1600
Now,
Discount Percentage = 𝐷𝑖𝑠𝑐𝑜𝑢𝑛𝑡/(𝑀𝑎𝑟𝑘𝑒𝑑 𝑃𝑟𝑖𝑐𝑒) × 100
20 = (𝑥 − 1600)/𝑥 × 100
20x = 100 (𝑥 − 1600)
20x = 100x − 160000
20x − 100x = −160000
−80x = −160000
80x = 160000
𝑥 = 160000/80
𝑥 = 2000
∴ Marked Price = Rs 2000

Article by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.