Price of a Book

If the list price of a book is reduced by Rs. 5, then a person can buy 5 more books for Rs. 300. The original cost of the book is
(1) Rs. 15
(2) Rs. 20
(3) Rs. 25
(4) Rs. 30
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Questions by anup33

Showing Answers 1 - 24 of 24 Answers

Let 'x' be the no of book that we buy with 5 rupee less from the original book price and we buy 5 more books with the rest money each costing original book price.

so the no of cases arises are

Case 1:
x(15-5)+5(15)=300
Solving this equation we get the value of x =22.5 (which is a fraction value)
so this case is not possible.

Case 2:
x(20-5)+5(20)=300
Solving this equation we get the value of x =13.33 (which is a fraction value)
so this case is not possible.

Case 3:
x(25-5)+5(25)=300
Solving this equation we get the value of x =8.75 (which is a fraction value)
so this case is not possible.

Case 4:
x(30-5)+5(30)=300
Here we get the value of x =6 (which can be possibly a no. of book, so the original price of the book is 30).

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rivagupta

  • Feb 16th, 2011
 

Let x be the list price
and y be the number of books
Then you can find x by the following 2 equations:
xy=300
(x-5)(y+5)=300

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Dennis

  • Feb 10th, 2012
 

70Rs
let the original price of the book be x
let the original no. of books be y
that means x-5=y+5 which is the same as x+y=5+5
=x-y=10, x=10+y
but y+5=300Rs which is equals to 5y=300, y=60
since x=10+y but y=60, then x =70

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Manisha

  • Dec 18th, 2013
 

Ans is (2) 20, simple to prove is 300/20(original price)-300/15(Rs reduce price)= Difference of total 5 books.
You can also solve below equation to get the result.

5+300/(x-5)=300/x
where x is the original price of the book, and left side of equation is after discount and right side is original.

I am sure this the correct answer

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JEBA SINGH.S

  • Jun 5th, 2015
 

(4) Rs. 30

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Rahul

  • Jun 7th, 2015
 

20

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Akshay Shah

  • Jul 14th, 2016
 

Consider option 1
Rs.15
List Price is Rs.15
How many books were purchased at list price of 15 for Rs 300?
15x20=300
20 books.
if Rs.5 were reduced, now cost price is 10
then 20 Books were sold at 10x20=Rs 200
5 more books purchased at 10x5=Rs.50
Total amount now is 250 which is less than 300
Option 1) is Wrong.
similarly consider Option 2)20.
List Price=Rs.20
20x15=Rs.300(15 books for Rs 20 each)
20-5=15.(Rs 5 reduced From list price)
15x15=Rs.225
15x5=Rs.75
Total=Rs 300
Option 2) 20 is Correct
overall Funda :P
1)divide option with 300(Overall Cost) to find total number of books purchased at List price .(let number of books )
2)(List Price - 5)* no of books=x.
3)(list pric-5)*5 =y.
4)if x+y=300. option is correct!

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