Question

In a departmental store, bags were sold at $40 each. During a sale, the bags were sold at a discounted price. As a result, the number of bags sold increased by60% and the total amount of money collected increased by 44%.(a) What was the price of a bag sold during the sale?(b)What was the percentage discount given for each bag during the sale?

Answer 1

If n bags were sold at a discount price of p, then
1.60n*p = 1.44 * 40n
p = $36, so a 10% discount

Answer 2

Let the original number of bags be b
new number of bags after the discount= 160/100b =1.6b
total price for b bags before discount= 40b
100%=40b
144%=??
144/100×40b
=57.6b this is the price after the discount
price of each bag during sale= 57.6b/1.6b
=$36

(b)
discount=40-36
=$4
%discount= 4/40×100
=10%