Question
The selling price of 8 shirts is the same as the cost
price of 9 shirts. If each shirt is marked at 50% above its cost price, calculate the percentage discount given on each shirt sold.Solution
Let the cost price of a shirt = Rs. '16x' Then, cost price of 9 shirts = 16x X 9 = Rs. '144x' Selling price of 1 shirt = 144x ÷ 8 = Rs. '18x' Marked price of each shirt = 16x X 1.5 = Rs. '24x' So, discount offered on each shirt = {(24x - 18x) ÷ 24x} X 100 = (6/24) X 100 = 25% Alternate Solution Ratio of cost price to marked price to selling price = 8:{(1.5 X 8)}:9 = 8:12:9 Required percentage = {(12 - 9)/12} X 100 = 25%
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