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Q.

What price should a shopkeeper mark on a book that costs him Rs.600 to gain 20%, after allowing a discount of 10%?


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a

Rs.700

b

Rs.750

c

Rs.800

d

Rs.850 

answer is C.

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Detailed Solution

From the given data, we have,
The cost price of a book = Rs.600.
Let the selling price of the book be x   to gain 20%.
∴Gain %= Gain C.P. ×100 ⇒20 %= Gain 600 ×100 ⇒Gain = 600×20 100 =Rs.120                   (1)  
That means the shopkeeper will earn a profit of Rs.120.
Now, we will find the selling price of the book.
Therefore, we will get Gain = Selling price - Cost price.
  ⇒120=x−600   ⇒x=600+120  
  ⇒x=720  
Therefore, the selling price of the book will be Rs.720.
Calculating the marked price after allowing a discount of 10%.
Let the marked price of the book is y.   We know that,
Discount price = Marked price - Selling price    ∵Discount %= Discount  Marked price ×100% ⇒10%= Discount y ×100% ⇒Discount= 1 10 y   Since we have,
Discount price = Marked price - Selling price    ⇒ 1 10 y=y−720 ⇒y=800   Therefore the marked price of the book should be Rs.800.
Hence, option (3) is correct.
 
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