The cost of 12 pens and 7 pencils is ₹233. If the cost of a pen decreases by ₹1.50 and the cost of a pencil increases by ₹1, then the cost of 2 pens and 3 pencils is ₹48. What is the original cost of 2 pens and 3 pencils?
₹48
The correct answer is option 2 i.e. ₹48.
Let pen \(= p\), pencil \(= c\).
From condition: \(2(p-1.5) + 3(c+1) = 48\) ⇒ \(2p + 3c - 3 + 3 = 48\) ⇒ \(2p + 3c = 48\).
So original cost of 2 pens + 3 pencils is ₹48.
Hence option (2).
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