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A boy bought 6 Pen, 10 Pencil and 16 Notebook for Rs. 174. Had he bought 10 Pen, 14 Pencil, 12 Notebook, it would have cost him Rs. 242. By how much, a pen and a pencil together cost more than a Notebook.?

A boy bought 6 Pen, 10 Pencil and 16 Notebook for Rs. 174. Had he bought 10 Pen, 14 Pencil, 12 Notebook, it would have cost him Rs. 242. By how much, a pen and a pencil together cost more than a Notebook.? Correct Answer Rs. 17

Let the cost of 1 Pen = a

Cost of 1 Pencil = b

Cost of 1 Notebook = c

According To Question,

6a + 10b + 16c = 174     ---- (1)

10a + 14b + 12c = 242     ---- (2)

Subtract (1) from (2)

⇒ 4a + 4b - 4c = 68

⇒ a + b - c = 17

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