SOLUTION: What percent above cost price must a dealer mark his goods so that after allowing a discount of 10% for cash he may still gain 35%

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Question 1133430: What percent above cost price must a dealer mark his goods so that after allowing a discount of 10% for cash he may still gain 35%
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let C = cost price;

    x= percent above cost price (value under the question).



Then the base equation is

    C*(1 + 0.01x)*0.9 = C*(1 + 0.35).   <<<---=== it is translation of the problem to Math.



Cancel C in both sides to get


    (1 + 0.01x)*0.9 = 1.35.


Then

    1 + 0.01x = 1.35%2F0.9 = 1.5  ====>  0.01x = 1.5 - 1 = 0.5  ====>  x = 0.5%2F0.01 = 5%2F0.1 = 50.


ANSWER.  50%.

Solved.