The ratio of the cost price to the mark price of an article is 3:4. If 8x% discount is offered on the marked price of the article then the loss 5x% on selling price. Find discount% ?
Answers
28.57 % discount is offered
Step-by-step explanation:
Let say Cost Price = 3C
Then Marked Price = 4C
x % Discount is offered on Marked Price
Discount = (x/100)4C = 4Cx/100
Selling Price = 4C - 4Cx/100 = 4C (1 - x/100)
= 4C(100 - x)/100
5% loss on Selling Price
= (5/100)4C(100 - x)/100
Cost Price = 4C(100 - x)/100 + (5/100)4C(100 - x)/100
= (4C(100 - x)/100)(105/100)
(4C(100 - x)/100)(105/100) = 3C
=> 4(100 - x) 105 = 3* 100 * 100
=> 100 - x = 71.43
=> x = 28.57 %
28.57 % discount is offered
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