Cost of 8 pens and 4 pencils is ₹ 176 and the cost of 2 pens and 2 pencils is ₹ 48. What is the cost of one pen?
(a)₹ 12
(b)₹ 14
(c)₹ 16
(d)₹ 18
(e)None of these
Answer
Answer (as printed): E
Explanation
Let the cost of one pen be ₹ $x$ and that of one pencil be ₹ $y$. $$\begin{array}{lll} \text { Then, } 8 x+4 y=176 & \text { or } & 2 x+y=44 \\ \text { And, } 2 x+2 y=48 & \text { or } & x+y=24 \end{array}$$ Subtracting (ii) from (i), we get: $x=20$. Hence, cost of 1 pen = ₹ 20.
Explanation as extracted from the printed page; notation may be imperfect.