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Find "?" in the given expression 12% o...

Find "?" in the given expression
12% of 1200 + ? = 18% of 5400

A

654

B

676

C

828

D

538

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 12\% \text{ of } 1200 + ? = 18\% \text{ of } 5400 \), we will follow these steps: ### Step 1: Calculate \( 12\% \text{ of } 1200 \) To find \( 12\% \) of \( 1200 \), we can use the formula: \[ 12\% \text{ of } 1200 = \frac{12}{100} \times 1200 \] Calculating this gives: \[ = \frac{12 \times 1200}{100} = \frac{14400}{100} = 144 \] ### Step 2: Calculate \( 18\% \text{ of } 5400 \) Next, we calculate \( 18\% \) of \( 5400 \): \[ 18\% \text{ of } 5400 = \frac{18}{100} \times 5400 \] Calculating this gives: \[ = \frac{18 \times 5400}{100} = \frac{97200}{100} = 972 \] ### Step 3: Set up the equation Now we can set up the equation using the values we calculated: \[ 144 + ? = 972 \] ### Step 4: Solve for \( ? \) To find \( ? \), we rearrange the equation: \[ ? = 972 - 144 \] Calculating this gives: \[ ? = 828 \] ### Conclusion Thus, the value of \( ? \) is \( 828 \).
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