Question

If 28% of a number is 63 less than 84% of the number, what is the number?

Answer 1

126

Explanation:

28% of x = 63 less than 84% of x

`(28)/(100)x = 63`

Applying cross multiplication rule,

`28x = 100 * 63`

`28x = 6300`

Divide through by 28

`(28x)/(28) = (6300)/(28)`

`x = 225`

To check, 28% of 225 is 63

Since x = 225,

84% of 225 implies

`(84)/(100) * 225 = 189`

That is, 84% of 225 =189

Hence, 28% of x less than 84% of x implies

`189 - 63 = 126`