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If 20% of a number is 120, what is 120% of that same number?
600
720
840
960
720
Observe that 120% is exactly 6 ├Ч20%.Therefore, the required result is simply 6 times the given value: 120├Ч6=720.
20% of a number x equals 120.
V1тАЛP1тАЛтАЛ=V2тАЛP2тАЛтАЛ
Observe that 120% is exactly 6 ├Ч20%.Therefore, the required result is simply 6 times the given value: 120├Ч6=720.
Students often spend time calculating the original number first (x=600) before finding 120% of it, which wastes valuable exam time.
Define the relationship
Let the number be x. We are given 20%├Чx=120.
0.20x=120
Set up the ratio
We need to find 120%├Чx. We can use the ratio of the percentages to find the value directly.
20%120%тАЛ=6
Calculate the final result
Multiply the original value 120 by the ratio factor of 6.
120├Ч6=720
B is correct because 120% is six times 20%, and six times 120 results in 720.
This proportional scaling technique is frequently used in Profit & Loss and Interest problems to avoid unnecessary calculation of the base value (Principal or Cost Price).