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What should come in place of the questio...

What should come in place of the question mark (?) in the following questions ?
450% of ? `div` 45 - 428 = 195

A

6230

B

6320

C

6023

D

2306

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation given in the question, we need to find the value of the question mark (?) in the expression: 450% of ? ÷ 45 - 428 = 195 Let's break down the steps to find the value of ?. ### Step 1: Rewrite the equation We start with the equation: \[ 450\% \text{ of } ? \div 45 - 428 = 195 \] ### Step 2: Isolate the division First, we can isolate the division by adding 428 to both sides of the equation: \[ 450\% \text{ of } ? \div 45 = 195 + 428 \] \[ 450\% \text{ of } ? \div 45 = 623 \] ### Step 3: Eliminate the division Next, we can eliminate the division by multiplying both sides by 45: \[ 450\% \text{ of } ? = 623 \times 45 \] ### Step 4: Calculate the right side Now, we calculate \( 623 \times 45 \): \[ 623 \times 45 = 28035 \] So we have: \[ 450\% \text{ of } ? = 28035 \] ### Step 5: Convert percentage to decimal Now, we need to convert 450% to a decimal. \[ 450\% = \frac{450}{100} = 4.5 \] ### Step 6: Set up the equation Now we can set up the equation: \[ 4.5 \times ? = 28035 \] ### Step 7: Solve for ? To find ?, we divide both sides by 4.5: \[ ? = \frac{28035}{4.5} \] ### Step 8: Perform the division Now we perform the division: \[ ? = 6230 \] ### Final Answer Thus, the value of ? is: \[ ? = 6230 \] ---
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