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If the cost of 8 pens is ₹136, then find the cost of 12 such pens.
₹208
₹206
₹202
₹204
₹204
Use the ratio 12:8, which simplifies to 1.5. Just multiply the initial cost by 1.5 (136+68=204).
Cost of 8 pens is ₹136. We need to find the cost of 12 such pens.
Cost12=(Quantity8Cost8)×Quantity12
Use the ratio 12:8, which simplifies to 1.5. Just multiply the initial cost by 1.5 (136+68=204).
Students often divide 136 by 12 instead of 8, or miscalculate the unit cost of a single pen.
Calculate the unit cost of one pen
Divide the total cost of 8 pens by 8 to find the price of a single pen.
Unit Price=8136=17
Calculate the total cost for 12 pens
Multiply the unit price by 12 to get the total cost for the required number of pens.
Total Cost=17×12=204
D is correct because the cost of 12 pens calculated at a unit rate of ₹17 per pen is ₹204.
The unitary method is the foundation for Profit and Loss, Time and Work, and Average Speed problems in competitive exams.
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