some placement papers questions

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ultra vires

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Well i was solving these placement paper questions(some are quite good or maybe i dun have brains :P)
1) A merchant sells an item at a 20 percent discount. but still makes a gross profit of 20 percent of the cost.
What percent of cost would be gross profit on the item have been if it had been sold without the discount?
(A)20% (B)40% (C)50% (D)60% (E)66.6%

well u might have guessed it ....i need the answers (plz dont post if you dont have explanation for it)

anyways thnx in advance to the guys who can help me out here.

PS : i will keep on posting more and more questions :P
 
x - original sale price ; y - cost price

20% discount on x = 0.8x

20% proft on cost price = 1.2y

0.8x = 1.2y

x = (1.2/0.8) * y

= 1.5 y

= 50% profit
 
50 % aye aye....Eddy

Marked Price (let) = x

Selling Price = .8x

Cost Price (let) = y

.8x = 1.2y

x = 1.5 y

Profit = 1.5y - y = .5 y = 50% of y
 
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