Discount: 10% on total or 10% on each item?

Algebra Level 1

You are on your shopping and reach a clothing store. Like previous problem, you are given following two offers:

  1. You are given 10% discount on each and every dress you buy.
  2. You are given 10% discount only on the total of all the dresses you buy .

You are in need of many dresses. Based on the above situation, which offer do you prefer and will lead you to profit?

10% discount on each item Not enough information 10% discount on the total It does not matter. Both are equal

Anubhav Sharma by Anubhav Sharma , 20, USA

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4 solutions

Anubhav Sharma
Aug 15, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Aneesh Bapat
Jul 24, 2015

let the cost of the dresses be c1 c2 c3 and so on upto cn. By distributive property, 10/100 (c1+c2+c3...+cn)=10/100 c1+10/100 c2...10/100 cn So, it does not matter which you pick.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Edwin Gray
Sep 28, 2018

.1x(a 1 + a 2 + a 3 +...…..+a n) = .1xa 1 + .1xa 2 + .1a 3 +...…+.1xa n. i.e, the distributive law. Ed Gray

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Daniel Filreis
Sep 25, 2017

10% off = 90%.

.9(a+b+c+...)=.9a+.9b+.9c+.9... by distributing

As the left hand side is taking the discount off of the total and the right hand side is taking the discount off of each item, we see that they are the same.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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