Question : A shopkeeper allows a discount of 12% to his customers and still gains 18%. Find the marked price of an article which costs Rs. 528 to the shopkeeper. (Answer to the nearest rupees)
Option 1: Rs. 728
Option 2: Rs. 708
Option 3: Rs. 695
Option 4: Rs. 798
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Correct Answer: Rs. 708
Solution : Let the marked price (MP) of the article be $x$. The cost price (CP) is given as Rs. 528. The shopkeeper allows a discount of 12%, so the selling price (SP) after the discount is: $SP=x−0.12x=0.88x$ The shopkeeper still gains 18%, so the selling price is also related to the cost price by: $SP=CP+0.18\times CP=1.18\times CP$ ⇒ $0.88x=1.18\times 528$ ⇒ $0.88x=623.04$ ⇒ $x=708$ Hence, the correct answer is Rs. 708.
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Question : What will be the cost price of the goods if a shopkeeper allows a discount of 10% on the marked price of Rs. 100 and gains 8% (rounded off to the nearest integer)?
Option 1: Rs. 83
Option 2: Rs. 86
Option 3: Rs. 87
Option 4: Rs. 81
Question : A shopkeeper marks his goods in such a way that after allowing a discount of 22%, he gains 20%. If the cost price of the article is Rs. 650, its marked price is:
Option 1: Rs. 900
Option 2: Rs. 1,000
Option 3: Rs. 850
Option 4: Rs. 950
Question : A trader marks his goods in such a way that after allowing a discount of 10%, he gains 15%. If an article costs him Rs. 720, his marked price is:
Option 1: Rs. 920
Option 2: Rs. 900
Option 3: Rs. 820
Question : A shopkeeper is allowed a 20% discount on the marked price of his articles. Find the marked price of an article, for which he charges Rs. 740.
Option 1: Rs. 725
Option 2: Rs. 875
Option 3: Rs. 925
Option 4: Rs. 1040
Question : If a shopkeeper marks his goods for a certain amount to get a 25% gain after allowing a discount of 20%, if the cost price of an article is Rs. 100, then his marked price of that article is:
Option 1: Rs. 156.25
Option 2: Rs. 146.25
Option 3: Rs. 166.25
Option 4: Rs. 150.25
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