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If 5 notebooks cost ₹125, what will be the cost of 8 such notebooks?
200
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120
200
Use the ratio method: 5 units correspond to 125 (which is 5×25). Thus, 8 units correspond to 8×25=200.
Cost of 5 notebooks is 125. We need to find the cost of 8 notebooks.
Total Cost=(Quantity n1Cost of n1)×Quantity n2
Use the ratio method: 5 units correspond to 125 (which is 5×25). Thus, 8 units correspond to 8×25=200.
Students often divide 125 by 8 instead of 5, or confuse the multiplier by calculating the unit cost incorrectly.
Calculate Unit Price
First, find the price of a single notebook by dividing the total cost by the number of notebooks.
Price per notebook=5125=25
Calculate Total Cost for 8 Notebooks
Multiply the unit price by the desired quantity of 8 notebooks.
Cost=25×8=200
A is correct because the unit cost is 25, so 8 notebooks cost 25 * 8 = 200.
This concept is foundational for 'Work and Wages' and 'Time and Distance' problems where you determine the rate per unit to solve for larger quantities.
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