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Evaluate: 15% of 800 + 20% of 400
200
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200
Use fractional equivalents: 15%=203тАЛ and 20%=51тАЛ, then multiply by 800 and 400 respectively for quick mental math.
Expression to evaluate: 15% of 800 + 20% of 400
V=100p1тАЛ├Чn1тАЛтАЛ+100p2тАЛ├Чn2тАЛтАЛ
Use fractional equivalents: 15%=203тАЛ and 20%=51тАЛ, then multiply by 800 and 400 respectively for quick mental math.
Forgetting to convert the percentage to a fraction or decimal properly by dividing by 100, resulting in magnitude errors.
Understand the expression
We need to calculate the sum of two percentage values: 15% of 800 and 20% of 400.
Expression=15%┬аof┬а800+20%┬аof┬а400
Evaluate the first term
Convert 15% to a fraction or decimal and multiply by 800: 10015тАЛ├Ч800=15├Ч8=120.
15%┬аof┬а800=10015тАЛ├Ч800=120
Evaluate the second term
Convert 20% to a fraction or decimal and multiply by 400: 10020тАЛ├Ч400=20├Ч4=80.
20%┬аof┬а400=10020тАЛ├Ч400=80
Add both terms and match options
Sum the results of both terms: 120+80=200. This matches Option A.
120+80=200
A is correct because 15% of 800 is 120 and 20% of 400 is 80, which together sum up to 200.
Mastering quick percentage calculations is essential for tackling Profit & Loss, Data Interpretation, and Simple Interest problems in competitive exams.