Pen and Pencil Price Puzzle — Can you solve it?

76. Pen and Pencil Price Puzzle

A pen and a pencil together cost Rs 1.10.

The pen costs Rs 1.00 more than the pencil.

How much does the pencil cost?

Added 30 October 2012

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Hint:

Let the cost of the pencil be x rupees. Write an equation for the total cost, using the fact that the pen is Rs 1.00 more expensive.

Solution:

Let the pencil cost x rupees.

Then the pen costs x + 1.00 rupees.

Total cost:
(x) + (x + 1.00) = 1.10

2x + 1.00 = 1.10
2x = 0.10
x = 0.05

Therefore, the pencil costs Rs 0.05 and the pen costs Rs 1.05.

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