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If 15% of a number is 60, what is the number?
400
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400
Since 15% is 60, divide 60 by 15 to get 1% = 4, then multiply by 100 to get 100% = 400.
15% of a number is equal to 60.
x=PercentageValue├Ч100тАЛ
Since 15% is 60, divide 60 by 15 to get 1% = 4, then multiply by 100 to get 100% = 400.
Students often calculate 15% of 60 (i.e., 9) instead of finding the base value that results in 60.
Define the equation
Let the number be x. According to the problem, 15% of x is 60.
0.15├Чx=60
Isolate the variable x
To find x, divide 60 by 0.15 (or multiply by the reciprocal of the percentage).
x=0.1560тАЛ
Calculate the final value
Performing the division: 60├╖0.15=6000├╖15=400.
x=400
A is correct because 15% of 400 is exactly 60.
This concept of finding the base is identical to Profit and Loss problems where you find the Cost Price given the Selling Price and Profit percentage.
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