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A school building of 15 classrooms is to be constructed and the cost of construction of the school in terms of per classroom is ₹1,50,000. Calculate the approximate cost of the proposed school building.
42,50,000
22,50,000
20,00,000
30,00,000
22,50,000
Use the unit digit and zero counting method: multiply 15×15=225 and append four zeros to arrive at 22,50,000.
Number of classrooms = 15, Cost per classroom = ₹1,50,000
Total Cost=Number of units×Cost per unit
Use the unit digit and zero counting method: multiply 15×15=225 and append four zeros to arrive at 22,50,000.
Students often misplace the number of zeros (e.g., writing 2,25,000 instead of 22,50,000) or miscalculate 15×15.
Identify given variables
Define the number of classrooms as n=15 and the unit price as c=1,50,000.
n=15,c=1,50,000
Apply multiplication formula
Multiply the number of classrooms by the cost per classroom to find the total investment.
Total Cost=15×1,50,000
Calculate final value
Perform the multiplication 15×15=225, then add the four zeros from the unit cost.
Total Cost=22,50,000
B is correct because the total cost calculated by multiplying 15 classrooms by 1,50,000 per classroom equals 22,50,000.
This is a fundamental application of the unitary method, which is the basis for more complex problems involving cost-benefit analysis and profit/loss calculations in competitive exams.
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