ICSE Class X Math 2013 Solved Paper
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Question : 46
Total: 46
A shopkeeper purchases a certain number of books for ₹ 960. If the cost per book was ₹ 8 less, the number of books that could be purchased for ₹ 960 would be 4 more. Write an equation, taking the original cost of each book to be ₹ x , and solve it to find the original cost of the books.
Solution:
Given the original cost of each book be ₹ x .
Total cost= ₹ 960 (Given)
∴ Number of books for 960 =
If the cost per book was₹ 8 less, (i.e., x − 8 ) then
Number of books =
According to question,
=
+ 4
−
= 4
960 [
] = 4
=
⇒ x 2 − 8 x = 1 , 920
⇒ x 2 − 8 x − 1 , 920 = 0
⇒ x 2 − 48 x + 40 x − 1 , 920 = 0
⇒ x ( x − 48 ) + 40 ( x − 48 ) = 0
⇒ ( x − 48 ) ( x + 40 ) = 0
x = 48 or x = − 40
∵ − 40 is not possible.
Hence, the original cost of each book= ₹ 48 .
Total cost
If the cost per book was
According to question,
Hence, the original cost of each book
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