Select the correct answer.
10% of x is 20, what is 23% of x?
A. 33
B. 46
C. 200
D. 230
Answer (1)
First, find the value of x by using the information that 10% of x is 20: x = 0.10 20 = 200 .
Then, calculate 23% of x by multiplying x by 0.23: 0.23 × 200 = 46 .
Therefore, 23% of x is 46.
The final answer is 46 .
Explanation
Finding the value of x We are given that 10% of x is 20, and we want to find 23% of x. Let's first find the value of x.
Solving for x We can write the given information as an equation: 0.10 × x = 20 . To solve for x, we divide both sides of the equation by 0.10: x = 0.10 20 = 200
Calculating 23% of x Now that we know x = 200 , we can find 23% of x. To do this, we multiply x by 0.23: 0.23 × x = 0.23 × 200 = 46
Final Answer Therefore, 23% of x is 46.
Examples
Understanding percentages is crucial in everyday life. For instance, when calculating discounts at a store, determining interest on a loan, or figuring out tips at a restaurant, percentages play a significant role. If a store offers a 23% discount on an item originally priced at $200, you would calculate 23% of $200 to find the amount of the discount, which in this case is $46. This skill helps you make informed decisions and manage your finances effectively.
