Question

A shopkeeper buys an article for Rs. 7,500 and increases its price. He sells this article for Rs. 9,156 including 9% sales tax on the increased price. Calculate by how much per cent the shopkeeper increases the price of the article.

Answer 1

Cost price = Rs. 7,500
Let the marked price by the shopkeeper be = Rs. x
Rate of sales tax = 9%
Sale price inclusive of sales tax = Rs. 9,156
∴ x + 9 % of x = 9,156
⟹ `(109x)/100= 9,156`
⟹ x = 8,400
Price increased by shopkeeper = Rs. 8,400 – Rs. 7,500 = Rs. 900
Increase % `="increase"/"cost price"xx100`

                   `=900/(7,500)xx100`

                    = 12

The shopkeeper increases the price of the article by 12%.