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Question 1: The cost of 3 books and 5 notebooks is Rs 250, while the cost of 4 books and 4 notebooks is Rs 280. If the cost of a book is represented by x and the cost of a notebook is represented by y, then find the set of equations represents the given information.

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3x + 5y = 250 and 4x + 4y = 285

3x + 5y = 260 and 4x + 4y = 280

3x + 5y = 250 and 4x + 4y = 280

3x + y = 250 and 4x + 4y = 280

answer is C.

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Detailed Solution

The cost of one book is ₹x and the cost of one notebook is ₹y.

The cost of 3 books and 5 notebooks is Rs 250, while the cost of 4 books and 4 notebooks is Rs 280.

∴ 3x + 5y = 250 … (1)

4x + 4y = 280 … (2)

Thus, the given information is represented by the equations

3x + 5y = 250 and 4x + 4y = 280

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