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Question

A shopkeeper buys a number of books for 40. If he had bought 2 more books for the same amount, then each book would have cost him 1 less. The number of books he bought is

A
10
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B
8
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C
12
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D
16
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Solution

The correct option is B 8
Let the shopkeeper buys x number of books.
According to the question:
Cost of x books =40
Cost of each book =40x
Again, when he had bought 2 more books for the same amount then, the cost of each book =40x+2
Thus, according to the given condition 40x40x+2=1
40(x+2)40xx(x+2)=1
40x+8040xx(x+2)=1
80=x2+2x
x2+2x80=0
x2+10x8x80=0
x(x+10)8(x+10)=0
(x8)(x+10)=0
x=8,10
Neglecting the negative value, the number of books he bought is 8.
Hence, the correct answer is option (2).

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