If 20% of 60% of number equals 30% of x percent, then....

[Sarah2391]

If 20 percent of 60 percent of a positive number is equal to 30 percent of x percent of the same number, what is the value of x?

(a) 20

(b) 32

(c) 60

(d) 40

(e) 18

 

[Mrspi]

Re: Help! More percentages

If 20 percent of 60 percent of a positive number is equal to 30 percent of x percent of the same number, what is the value of x?

(a) 20

(b) 32

(c) 60

(d) 40

(e) 18

Let n be the unknown number

20% of 60% of n would be (20/100)*(60/100)*n

30% of x% of n would be (30/100) * (x/100)*n

We are told that these two quantities are equal. So,

(20/100)*(60/100)*n = (30/100)*(x/100)*n

Multiply both sides by 100*100 to eliminate the fractions:

20*60*n = 30*x*n

Divide both sides by n....

20*60 = 30 * x

Now...can you take it from here?