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What is the value of 15% of 800 + 20% of 500?
220
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200
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220
Use the '10% rule': 10% of 800 is 80, so 15% is 80 + 40 = 120. 20% of 500 is simply 2 ├Ч 10% of 500 = 2 ├Ч 50 = 100.
Percentage 1 = 15%, Value 1 = 800. Percentage 2 = 20%, Value 2 = 500.
Value=100PercentageтАЛ├ЧTotal
Use the '10% rule': 10% of 800 is 80, so 15% is 80 + 40 = 120. 20% of 500 is simply 2 ├Ч 10% of 500 = 2 ├Ч 50 = 100.
Students often fail to simplify the percentages into fractions like 15/100 = 3/20 and 20/100 = 1/5, leading to longer, error-prone manual multiplication.
Calculate first term
To find 15% of 800, use the fraction 10015тАЛ├Ч800.
10015тАЛ├Ч800=120
Calculate second term
To find 20% of 500, use the fraction 10020тАЛ├Ч500.
10020тАЛ├Ч500=100
Sum the results
Add the two calculated values to get the final answer.
120+100=220
A is correct because the sum of 15% of 800 (120) and 20% of 500 (100) results in 220.
Understanding percentages as fractions (10%=1/10, 20%=1/5, 25%=1/4) significantly speeds up Profit & Loss and Data Interpretation sections.
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