Choose the correct answer :if 30/ percent of X is 150 then X is
The Correct Answer and Explanation is:
Correct Answer: 500
Explanation:
We are given the statement:
30 percent of X is 150.
This can be written as a mathematical equation: 30100×X=150\frac{30}{100} \times X = 15010030×X=150
Or simplified: 0.30×X=1500.30 \times X = 1500.30×X=150
To find the value of XXX, divide both sides of the equation by 0.30: X=1500.30X = \frac{150}{0.30}X=0.30150
Now, perform the division: X=500X = 500X=500
So, the correct answer is 500.
Detailed Explanation
This problem involves percentages, which are widely used in everyday situations such as calculating discounts, interest rates, and statistical data. The key concept here is understanding how to convert a percentage into a decimal form and apply it to an unknown value.
In this question, we are told that 30 percent of some number XXX equals 150. The phrase “30 percent of X” is a way of expressing multiplication. Specifically, it means you are taking 30 out of every 100 parts of the number XXX. To express this mathematically, convert the percentage into its decimal form by dividing it by 100. So, 30 percent becomes 0.30.
Once converted, the statement “30 percent of X is 150” translates to: 0.30×X=1500.30 \times X = 1500.30×X=150
To isolate XXX in this equation, divide both sides by 0.30. This step is a fundamental algebraic operation used to solve for unknown variables. It involves using the inverse operation of multiplication, which is division, to cancel out the coefficient in front of the variable. X=1500.30X = \frac{150}{0.30}X=0.30150
To carry out the division, consider how many times 0.30 fits into 150. You can think of this as scaling up from a small part (30 percent) to find the full value (100 percent). When you divide 150 by 0.30, you get 500. This means that 30 percent of 500 equals 150.
Therefore, the number XXX is 500.
