Question

If 45 is 120% of a number, then what is 80% of the same number?

Answer 1

Answer:

120% x= 45

x=45/120

x=225/6

x=37.5

80% 37.5= 12/100×37.5

=30

Answer 2

80% of the same number is 30.

Given: 45 is 120% of a number.

To find: We have to find 80% of the same number.

Solution:

Let the number be x.

To determine 120% of x we have to multiply the number x by 120/100.

120% of x will be-

$\frac{120}{100} \times x \\ = \frac{6x}{5}$

This 6x/5 will be equal to 45.

Thus we can write-

$\frac{6x}{5} = 45 \\ x = \frac{45 \times 5}{6} \\ x = \frac{75}{2}$

Thus the value of x is 75/2.

So, the number is also 75/2.

Now 80% of x or 75/2 will be-

$\frac{80}{100} \times \frac{75}{2} \\ \frac{4}{5} \times \frac{75}{2} \\ = 15 \times 2 \\ = 30$

Thus 80% of x or 75/2 is 30.

So, 80% of the same number is 30.