Correct option is C
Given:
Cost of 2 pencils and 3 pens = ₹55
Cost of 7 pencils and 2 pens = ₹65
Concept and Formula Used:
Algebraic Equations: Formulating and solving equations based on the given conditions.
Solution:
As per the question;
2 pencils + 3 pens = 55 – (i)
7 pencils + 2 pens = 65 – (ii)
Multiply eq (i) with 2 and eq (ii) with 3
4 pencils + 6 pens = 110 – (iii)
21 pencils + 6 pens = 195 – (iv)
Subtracting Eq (iii) from eq (iv)
We get,
17 pencils = ₹85
1 pencil = ₹5
By eq (i)
2 × 5 + 3 pens = 55
1 pen = ₹15
So, the cost of 1 pen and 1 pencil = 5 + 15 = ₹20
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