Question

Amisha bought a number of books for ₹ 1,800, If she had bought 10 more books for the same amount, each book would have cost her ₹ 30 less. How many books did she buy originally?​

Answer 1

❍ Let the number of books brought be x.

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∴ 1800/x + 10 = 1800/x - 30

➵ 1800 [1/x - 1/x + 10] = 30

➵ 1/x - 1/x + 10 = 1/60

➵ x + 10 - x/x (x + 10) = 1/60

➵ 600 = x² + 10x

➵ x² + 10x - 600 = 0

➵ (x + 30) (x - 20) = 0

➵ x = -30 or x = 20

∴ Since number of books cannot be negative, so x is 20.

✠ Therefore,

• Hence, the number of books brought is 20.

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Answer 2

@ItzzRisingStar has answered your question correctly...!!