The cost of 2 pens and 3 notebooks is ₹220, and the cost of 2 pens and 4 notebooks is ₹250. Find the ratio between the cost of the pen and the notebook.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 13 : 6
Given that
The cost of 2 pens and 3 notebooks is ₹220
2 pens + 3 notebooks = ₹220... (1
The cost of 2 pens and 4 notebooks is ₹250
2 pens + 4 notebooks = ₹250... (2
Subtracting from equation 1 to equation 2
1 notebook = 250 - 220 = ₹30
Put this value in equation 1
2 pens + 3 × 30 = 220
2 pens = 220 - 90 = ₹130
1 pen = ₹65
Hence, The ratio of the cost of the pen and the notebook is 65 : 30 = 13 : 6