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By how much is 50% of 60 greater than 30% of 40?
15
18
20
13
18
Calculate both percentage values directly using mental math: 50%┬аof┬а60=30 and 30%┬аof┬а40=12. Then subtract the two values: 30тИТ12=18.
We need to find how much 50% of 60 is greater than 30% of 40.
Difference=(50%┬аof┬а60)тИТ(30%┬аof┬а40)
Calculate both percentage values directly using mental math: 50%┬аof┬а60=30 and 30%┬аof┬а40=12. Then subtract the two values: 30тИТ12=18.
Confusing 'percentage of a number' with 'percentage increase', or making arithmetic errors while multiplying percentages.
Calculate the first part (50% of 60)
Convert 50% to a fraction or decimal and multiply by 60: 10050тАЛ├Ч60=0.5├Ч60=30
50%┬аof┬а60=30
Calculate the second part (30% of 40)
Convert 30% to a fraction or decimal and multiply by 40: 10030тАЛ├Ч40=0.3├Ч40=12
30%┬аof┬а40=12
Find the difference between the two values
Subtract the second value from the first value to find how much greater it is: Difference=30тИТ12=18
30тИТ12=18
B is correct because 50% of 60 is 30, 30% of 40 is 12, and their difference is 30 - 12 = 18.
Percentage calculations are fundamental to quantitative aptitude sections in competitive exams like RRB, SSC, and Banking.