What single trade discount would give the same cost price as a series discount of...

Freddy Friedman

Freddy Friedman

Answered

2022-07-26

What single trade discount would give the same cost price as a series discount of 45%, 10%, 5%? (Note: The answer is not 60%. Round your answer to two decimal places.)

Answer & Explanation

Ryan Hahn

Ryan Hahn

Expert

2022-07-27Added 11 answers

Step 1
Lets assume price of article = x
After discount of 45\% price = 55 100 x = ( 11 20 x )
Price after discount of 10% on 11 20 x = 90 100 × 11 90 x = 99 200 x
After discount of 5% on 99 200 x = 99 200 x × 95 100 = 19 20 × 99 200 x
= ( 1881 4000 ) x
P = 0.47025 x
Step 2
Total discount = x 0.47025 x
= 0.52975 x
%discount = 0.52975 x x × 100 = 52.975 %

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