Question 124

Cost of 25 pencils and 20 sharpeners is Rs. 100. If the cost of a sharpener is more than the cost of a pencil by 50 paise; what is the total cost of 3 pencils and 4 sharpeners?

Solution
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Let the cost of 1 pencil be Rs. a
Cost of 1 sharpener be Rs. b
Given that
25a+ 20b = 100
5a + 4b = 20
And b = a + 0.5
5a + 4(a + 0.5) = 20
9a = 18
a = 2
b = 2.5
Cost pf 3 pencils and 4 sharpeners = 3a + 4b = Rs. 16

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