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20% of 60 is 25% of...

20% of 60 is 25% of ______

A

36

B

30

C

40

D

48

Text Solution

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The correct Answer is:
To solve the problem "20% of 60 is 25% of ______", we can follow these steps: ### Step 1: Calculate 20% of 60 To find 20% of 60, we can use the formula: \[ \text{Percentage} = \frac{\text{Percentage Rate}}{100} \times \text{Total} \] So, \[ 20\% \text{ of } 60 = \frac{20}{100} \times 60 = \frac{1200}{100} = 12 \] ### Step 2: Set up the equation According to the problem, we have: \[ 20\% \text{ of } 60 = 25\% \text{ of } x \] From Step 1, we know that \(20\% \text{ of } 60 = 12\). Therefore, we can write: \[ 12 = 25\% \text{ of } x \] ### Step 3: Express 25% of x Now, we can express 25% of x using the same percentage formula: \[ 25\% \text{ of } x = \frac{25}{100} \times x = \frac{x}{4} \] So we can rewrite our equation as: \[ 12 = \frac{x}{4} \] ### Step 4: Solve for x To find x, we can multiply both sides of the equation by 4: \[ x = 12 \times 4 = 48 \] ### Conclusion Thus, the value of x is 48. Therefore, 20% of 60 is 25% of 48.
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