The marked price of an article is 25% more
than that of the cost price. If the article is sold allowing
15% discount, profit becomes Rs. 200. Find the marked
price and the cost price of the article.
(Ans: MP = Rs. 4000, CP = Rs. 3200)
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Answer:
let the cost price of an article be -x
Market price = x+(25%of x)
= x+(25/100*x)
=x+(x/4)
=(4x+x) /4
=Rs 5x/4
discount= 15% of market price
=(15/100)*5x/4
=3/20*5x/4
=Rs 3x/16
profit =200Rs
According to Question
profit = selling price - cost price
profit = [marked price - discount] - cost price
= 200 = [ 5x/4 - 3x/16 ] -x
200 = 17x/16 - x
200 = x/16
=Rs 3200= x
marked price =5x/4
(5*3200)/4
=Rs 4000
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