If 30% of a number is 4/5, what is the value of the number?

• A. 40
• B. 80
• C. 120
• D. 160

Answer: (C)

To find the value of the number, we start by setting up the equation based on the information given: 30% of a number equals 4/5.

Define the number as ( x ). Since 30% can be expressed as a fraction, we write this as ( 0.3x ). Therefore, we can form the equation:

[

0.3x = \frac{4}{5}

]

Next, we need to solve for ( x ). To isolate ( x ), we can divide both sides of the equation by 0.3:

[

x = \frac{\frac{4}{5}}{0.3}

]

To simplify this, we can rewrite ( 0.3 ) as a fraction:

[

0.3 = \frac{3}{10}

]

Now we substitute this back into the equation:

[

x = \frac{\frac{4}{5}}{\frac{3}{10}}

]

When dividing fractions, we multiply by the reciprocal:

[

x = \frac{4}{5} \times \frac{10}{3} = \frac{4 \times 10}{5 \times 3} =