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If 30% of a number is 120, what is 120% of that same number?
360
400
480
500
480
Observe that 120% is exactly 4 times 30%. Therefore, simply multiply 120 by 4 to get 480.
30% of a number is 120.
yxтАЛ=baтАЛ
Observe that 120% is exactly 4 times 30%. Therefore, simply multiply 120 by 4 to get 480.
Many students waste time calculating the actual number first (which is 400), rather than observing the ratio between the percentages directly.
Define the relationship
Let the number be x. We are given that 0.30├Чx=120. We need to find 1.20├Чx.
0.30x=120
Apply ratio comparison
Compare the required percentage (120%) with the given percentage (30%). The ratio is 30%120%тАЛ=4.
1.20=4├Ч0.30
Calculate the result
Multiply the given value by the ratio: 120├Ч4=480.
120├Ч4=480
C is correct because 120% of the number is four times 30% of the number, resulting in 120 * 4 = 480.
This shortcut applies to any profit/loss or interest problem where you need to scale values linearly rather than calculating the principal amount every time.
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