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What is the value of 15% of 200 + 20% of 300?
90
80
100
70
90
Use the 'zero-canceling' trick: remove the two zeros from the base numbers (200, 300) and multiply the percentage by the remaining part (e.g., 15imes2=30 and 20imes3=60).
We are given two percentage expressions: 15% of 200 and 20% of 300.
Value=(100PтАЛimesN)
Use the 'zero-canceling' trick: remove the two zeros from the base numbers (200, 300) and multiply the percentage by the remaining part (e.g., 15imes2=30 and 20imes3=60).
Students often miscalculate percentages of 100-multiples by adding extra zeros or forgetting to multiply by the coefficient (e.g., writing 15imes20 instead of 15imes2).
Calculate 15% of 200
Convert 15% to a fraction and multiply by 200: 15/100imes200=15imes2.
15%┬аof┬а200=30
Calculate 20% of 300
Convert 20% to a fraction and multiply by 300: 20/100imes300=20imes3.
20%┬аof┬а300=60
Sum the results
Add the two calculated values to get the final result.
30+60=90
A is correct because the sum of 15% of 200 (which is 30) and 20% of 300 (which is 60) equals 90.
This technique of canceling zeros is highly useful in Profit and Loss calculations and Interest problems, where base values are often multiples of 100.