SOLUTION: a t.v is marked 25% above the cost price.in order to gain 10% what should be the percentage of discount allowed on it?

Question 775347: a t.v is marked 25% above the cost price.in order to gain 10% what should be the percentage of discount allowed on it?
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
This will be easier if you pick a number for c. Pick a simple number c=100.

If the cost was 100, then a 25% (.25) profit comes from 125. That's 100(1+.25).

10% profit comes from 110.
125(1+x)=110 where x is the discount number we seek.

125 + 125x = 110

125x=-15

x = -15/125 = -.12. We need a 12% discount on the $125 TV in order to obtain $110, which is a $10 profit. 125*(1-.12) = 110

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