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The cost of 2 pencils and 3 pens is ₹80, and the cost of 3 pencils and 2 pens is ₹70. The cost of one pen is:

Competition practiceAlgebra

A₹10
B₹15
C₹20
D₹25

Step-by-Step Solution

Let

a

= pencil,

b

= pen. From

2 a + 3 b = 80

and

3 a + 2 b = 70

, subtract 3×(first) − 2×(second):

5 b = 100

, so

b

= ₹20.

Answer: C) ₹20

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