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136% "of"250+?% "of" 550=670...

`136% "of"250+?% "of" 550=670`

A

64

B

55

C

56

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 136\% \text{ of } 250 + ?\% \text{ of } 550 = 670 \), we will follow these steps: ### Step 1: Calculate \( 136\% \text{ of } 250 \) To find \( 136\% \text{ of } 250 \), we convert the percentage to a decimal and multiply: \[ 136\% = \frac{136}{100} = 1.36 \] Now, multiply by 250: \[ 1.36 \times 250 = 340 \] ### Step 2: Set up the equation Now we substitute \( 340 \) back into the original equation: \[ 340 + ?\% \text{ of } 550 = 670 \] ### Step 3: Isolate the \( ?\% \text{ of } 550 \) To isolate \( ?\% \text{ of } 550 \), we subtract \( 340 \) from both sides: \[ ?\% \text{ of } 550 = 670 - 340 \] Calculating the right side: \[ ?\% \text{ of } 550 = 330 \] ### Step 4: Express \( ?\% \text{ of } 550 \) in terms of a decimal We can express \( ?\% \) as \( \frac{?}{100} \): \[ \frac{?}{100} \times 550 = 330 \] ### Step 5: Solve for \( ? \) To solve for \( ? \), we first multiply both sides by \( 100 \): \[ ? \times 550 = 33000 \] Now, divide both sides by \( 550 \): \[ ? = \frac{33000}{550} \] Calculating the division: \[ ? = 60 \] ### Final Answer Thus, the value of \( ? \) is \( 60 \). ---

To solve the equation \( 136\% \text{ of } 250 + ?\% \text{ of } 550 = 670 \), we will follow these steps: ### Step 1: Calculate \( 136\% \text{ of } 250 \) To find \( 136\% \text{ of } 250 \), we convert the percentage to a decimal and multiply: \[ 136\% = \frac{136}{100} = 1.36 ...
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