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.)

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Ryan Hahn · Accepted Answer

Step 1Lets assume price of article   =  xAfter 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    xAfter discount of 5% on       99    200    x  =      99    200    x  ×      95    100    =      19    20    ×      99    200    x  =  (      1881    4000    )  x  P  =  0.47025  xStep 2Total discount   =  x  −  0.47025  x  =  0.52975  x%discount   =            0.52975      x        x    ×  100  =  52.975  %

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.)

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