Question

If 50% of x is 150, what is 75% of x? (A) (B) (C) (D) 225 250 275 300

Answer 1

Step 1

Percent can be define as part of 100.

Foe example. x% = x/100

20% = 20/100

Step 2

$\begin{gathered} 50\text{ \% of x is 150} \\ \text{Next, find x} \\ \frac{50}{100}\text{ x = 150} \\ \text{Cross multiply} \\ 50x\text{ = 15000} \\ \text{x = }\frac{15000}{50} \\ \text{x = 300} \end{gathered}$

Step 3:

Let find 75% of x

$\begin{gathered} 75\text{ \% of x} \\ \text{x = 300} \\ 75\text{ \% of 300} \\ \text{= }\frac{75}{100}\text{ }\times\text{ 300} \\ =\text{ }\frac{22500}{100} \\ \text{= 225} \end{gathered}$

Final answer

Option A

225