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The cost of 7 pens and 5 pencils is Rs.95. One half of the cost of one pen is equal to the cost of one pencil. What is the total cost of one pen and one pencil?

The cost of 7 pens and 5 pencils is Rs.95. One half of the cost of one pen is equal to the cost of one pencil. What is the total cost of one pen and one pencil? Correct Answer Rs.15

Let the cost of one pen and one pencil be ‘x’ and ‘y’ respectively. By data, 7x + 5y = 95 …… (i) And y = x/2 ? x – 2y = 0 …… (ii) Solving (i) and (ii), we get, x = 10 and y = 5. Therefore, the total cost of one pen and one pencil = 10 + 5 = Rs.15.

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