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Question

A shopkeeper allows a discount of 20% on the Marked price of an article at sells at rupees 896.

1) calculate the Marked price of an article.

2) by selling an article at a discounted price if he still gets 12% of his cost what was the cost price.

3) what would have been his profit percentage if you had sold the article at the marked price.

1) calculate the Marked price of an article.

2) by selling an article at a discounted price if he still gets 12% of his cost what was the cost price.

3) what would have been his profit percentage if you had sold the article at the marked price.

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Solution

(1)let the market price X

discount on market price = 20%

So discount =( X×20)/100

= 20X/100

selling price = market price - discount

= X-(20X/100)

=80X/100

according to question:-

80X/100 = 896

X= = 89600/80

X =1120 ₹. -ans

(2)896= 112% of cost price

cp = 89600/112=800 Rs

(3) if he had sold it for marked price 1120 rs then profit= 1120-800=320rs

hence profit % = 320/800*100=40%

discount on market price = 20%

So discount =( X×20)/100

= 20X/100

selling price = market price - discount

= X-(20X/100)

=80X/100

according to question:-

80X/100 = 896

X= = 89600/80

X =1120 ₹. -ans

(2)896= 112% of cost price

cp = 89600/112=800 Rs

(3) if he had sold it for marked price 1120 rs then profit= 1120-800=320rs

hence profit % = 320/800*100=40%

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