SOLUTION: Mr Mazibuko has a small grocery shop. He bought small packets of sugar, and increases the price by 10%. After a month he has a sale and decreases the price by 10%. Tim and Kgeti di

Question 1074215: Mr Mazibuko has a small grocery shop. He bought small packets of sugar, and increases the price by 10%. After a month he has a sale and decreases the price by 10%. Tim and Kgeti discuss this. Tim says the sale is the same as the original price that he bought the sugar. Kgeti says it will be cheaper. Who is right? Show all calculations
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x = the cost of the sugra to mr. mazibuko.
he increases the price by 10%.
let p = the raised price.
you get p = 1.1 * x.
after a month, he has a sale and decreases the price by 10%.
let s = the sale price.
you get s = .9 * p
since p = 1.1 * x, you get s= .9 * 1.1 * x.
simplify to get s = .99 * x.
the sale price is less than the original cost.
kgeti is right.
an example will help.
assume the cost is 100.
the price is 10% more than the cost, so the regular price is 100 + 10 = 110.
the sale price is 10% less than the regular price, so the sale price is 110 - 11 = 99
10% of 100 is 10.
10% of 110 is 11.

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