490 books were sold to certain number of customers such that number of books sold to each customer is 40% of total number of customers. Find the number of books purchased by all the customers when each customer purchased 12 books
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Class 10
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>>A shopkeeper buys a certain no. of books
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A shopkeeper buys a certain no. of books for Rs. 960. If the cost per book was Rs. 8 less, the no. of books that could be bought for Rs. 960 would be 4 more. Taking the original cost of each book to be Rs. x, write an equation in x and solve it.
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Updated on : 2022-09-05
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Correct option is A)
Let orignal cost of each book =x
No. of books bought for Rs. 960 =
x
960
The cost of each book was Rs. 8 less, then the cost of book =x−8
Difference in the no. of books bought =
x−8
960
−
x
960
=4
x−8
240
−
x
240
=1
240x−240(x−8)=x(x−8)
x
2
−8x−1920=0
x
2
−48x+40x−1920=0
x(x−48)+40(x−48)=0
(x+40)(x−48)=0
x=−40(impossible)and x=48
Orignal cost of each book is 48
Option A is correct.
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