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What is the value of the expression: 45% of 800 + 25% of 400 - 30% of 200?
400
420
390
410
400
Convert percentages to fractions (45%=209тАЛ or simply use 45imes8=360) to compute each term mentally within seconds.
Expression to evaluate: 45% of 800 + 25% of 400 - 30% of 200
extPercentageofanumber=100PercentageтАЛimesextValue
Convert percentages to fractions (45%=209тАЛ or simply use 45imes8=360) to compute each term mentally within seconds.
Subtracting the last term incorrectly or miscalculating the percentages due to arithmetic errors under time pressure.
Calculate the first term
Find 45% of 800 by multiplying 800 by 10045тАЛ.
rac45100imes800=360
Calculate the second term
Find 25% of 400 which is one-fourth of 400.
rac25100imes400=100
Calculate the third term
Find 30% of 200 by multiplying 200 by 10030тАЛ.
rac30100imes200=60
Evaluate the complete expression
Substitute the calculated values into the original expression: 360+100тИТ60.
360+100тИТ60=400
A is correct because the evaluated value of the expression is 400.
Percentage calculations are foundational for Profit & Loss, Simple/Compound Interest, and Data Interpretation sections in RRB exams.