Question

Calculate and Specify the Cost Price of an Article
An article is sold at a profit of 10%. If both cost price and selling price are 25 less, the profit would be 5% more. Find the cost price?

Answer 1

let  cost  price = x,  sales  price = 1.1 x,  after  reducing  both  prices

cost  price =  x - 25  and  sales  price = 1.1 x  - 25

since  new  profit = 15 %,    1.1 x - 25 - x  + 25  / x - 25 =  15/100

.1 x / x - 25 = 15/ 100,  or   cross  multiplying,  10 x = 15 x - 375

so,  5x = 375   or  x = 75 =  cost  price