SOLUTION: CHMCO sells a product with discounts of 25%, 15% to its distributors. It plans to allow a seasonal discount to make the overall discount equal to 45%. What additional (chained) dis

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Question 1165461: CHMCO sells a product with discounts of 25%, 15% to its distributors. It plans to allow a seasonal discount to make the overall discount equal to 45%. What additional (chained) discount should CHMCO allow?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be that additional discount, expressed as a decimal.


Then you have this equation


    (1-0.25)*(1-0.15)*(1-x) = 1 - 0.45

or

    0.75*0.85*(1-x) = 0.55

    1 - x = 0.55%2F%280.75%2A0.85%29 = 0.862745.


Hence, the additional chain discount should be  1 - 0.862745 = 0.137255 = 13.7255%    ANSWER

Solved.