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Calculate: 15% of 800 + 25% of 400
200
220
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260
220
Use the symmetry of percentages: a%┬аof┬аb=b%┬аof┬аa. Thus, 25%┬аof┬а400 can be thought of as 41тАЛimes400=100, and 15%┬аof┬а800 is 10%┬аof┬а800+5%┬аof┬а800=80+40=120.
First value = 15% of 800, Second value = 25% of 400
extPercentage=100xтАЛimesextBase
Use the symmetry of percentages: a%┬аof┬аb=b%┬аof┬аa. Thus, 25%┬аof┬а400 can be thought of as 41тАЛimes400=100, and 15%┬аof┬а800 is 10%┬аof┬а800+5%┬аof┬а800=80+40=120.
Multiplying the percentages incorrectly or making arithmetic errors when splitting the percentage components.
Calculate first term
Find 15% of 800 by converting the percentage to a fraction or decimal: 10015тАЛimes800.
rac15100imes800=120
Calculate second term
Find 25% of 400 by recognizing that 25% is 41тАЛ: 41тАЛimes400.
rac25100imes400=100
Add both results
Sum the two calculated values to get the final answer: 120+100.
120+100=220
B is correct because 15% of 800 is 120 and 25% of 400 is 100, which sum to 220.
Mastering percentage calculations quickly is essential for Data Interpretation (DI) and Profit & Loss sections in competitive exams.
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