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What approximate value should come in th...

What approximate value should come in the place of question mark in following question.
`32.01 xx 4.99 + ? = 64.03% "of 349.97"`

A

48

B

96

C

72

D

64

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 32.01 \times 4.99 + ? = 64.03\% \text{ of } 349.97 \), we will follow these steps: ### Step 1: Approximate the values First, we approximate the numbers: - \( 32.01 \) can be approximated to \( 32 \). - \( 4.99 \) can be approximated to \( 5 \). - \( 64.03\% \) can be approximated to \( 64\% \). - \( 349.97 \) can be approximated to \( 350 \). ### Step 2: Calculate \( 32 \times 5 \) Now, we calculate: \[ 32 \times 5 = 160 \] ### Step 3: Calculate \( 64\% \text{ of } 350 \) Next, we calculate \( 64\% \text{ of } 350 \): \[ 64\% \text{ of } 350 = \frac{64}{100} \times 350 = 0.64 \times 350 \] Calculating \( 0.64 \times 350 \): \[ 0.64 \times 350 = 224 \] ### Step 4: Set up the equation Now we can set up the equation: \[ 160 + ? = 224 \] ### Step 5: Solve for ? To find the value of \( ? \), we rearrange the equation: \[ ? = 224 - 160 \] Calculating this gives: \[ ? = 64 \] ### Final Answer Thus, the approximate value that should come in place of the question mark is \( 64 \). ---
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