A shopkeeper marked the price of an article certain precent above the cost price and he allowed 16% discount to make 5% profit if a costumber paid rs 9492 with 13% VAT to buy the article .by what present is the marked price above the cost price of the article .

Question

A shopkeeper marked the price of an article certain precent  above the cost price and he allowed 16% discount  to make 5% profit if a costumber paid rs 9492 with 13% VAT to buy the article .by what present is the marked price above the cost price of the article .

oobleck · Accepted Answer

If he raised the price by x%, then if the cost was c, he sold it for
c(1 + x/100)
Then, after the 16% discount, his sales price was 5% above cost, so
c(1 + x/100) * 0.84 = 1.05c
Or, dividing by c,
(1 + x/100) * 0.84 = 1.05
x = 25
So, he raised his price by 25%

Now see what you can do with the rest.

Aryzon · Answer

Please solve it. Thank you