7. A shopkeeper allows a discount of 10% to his customers and still gains 20%. Find the marked price
the article which costs 450.
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ANSWER :- rupees 600
EXPLANATION:-Hi,
Let the marked price of an article be 'X'
Shopkeeper allows a discount of 10%,
Selling Price = Marked Price - Discount
= X - 10%X
= X(1 - 1/10)
= 9X/10
Given that shopkeeper gains 20 %,
Gain Percentage = ( Selling Price - Cost Price )/Cost Price * 100
20 = [(9X/10 -450)/450]*100
9X/10 - 450 = 90
9X/10 = 540
X = 600
Hence, the Marked Price of the article is Rs 600.
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