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A shopkeeper marked an article 40% above its cost price and allowed a discount of 20%. Had he marked the article 50% above its cost price and allowed
Question


A shopkeeper marked an article 40% above its cost price and allowed a discount of 20%. Had he marked the article 50% above its cost price and allowed a discount of 12%, the selling price would have been Rs. 90 more than the earlier selling price. Find 130% of the cost price.

A.

495

B.

585

C.

675

D.

885

E.

395

Correct option is B


Let cost price of the article be Rs.100x
Marked price = 140% of 100x=Rs.140x
Selling price = 80% of 140x=Rs.112x
And,
New marked price =150% of 100x=Rs.150x
New selling price = 150x×88/100=Rs.132x
ATQ,
132x-112x=90
20x=90
x=4.5
Cost price of the article = 100x=100×4.5=Rs.450
Required value = 130% of 450=585

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