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What will come in place of question mark...

What will come in place of question mark (?) in the given questions?
`?%of(140-:6)=7`

A

60

B

15

C

25

D

30

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( ?\% \text{ of } (140 - 6) = 7 \), we can follow these steps: ### Step 1: Simplify the expression inside the parentheses First, we need to calculate \( 140 - 6 \): \[ 140 - 6 = 134 \] ### Step 2: Rewrite the equation Now we can rewrite the equation using the simplified value: \[ ? \% \text{ of } 134 = 7 \] ### Step 3: Convert percentage to a decimal The percentage can be expressed as a fraction: \[ ? \% = \frac{?}{100} \] Thus, the equation becomes: \[ \frac{?}{100} \times 134 = 7 \] ### Step 4: Solve for ? To isolate \( ? \), we can multiply both sides by 100: \[ ? \times 134 = 700 \] Now, divide both sides by 134: \[ ? = \frac{700}{134} \] ### Step 5: Calculate the value Now we perform the division: \[ ? \approx 5.22 \] ### Step 6: Find the nearest whole number Since the options provided are whole numbers, we can round \( 5.22 \) to the nearest whole number, which is \( 5 \). ### Step 7: Check the options The options provided were: 1. 60 2. 15 3. 25 4. 30 Since \( 5 \) is not an option, we need to check the calculations again. Upon reviewing, we realize that we need to multiply \( ? \) by \( 134 \) and then divide by \( 100 \) to find the percentage that equals \( 7 \). ### Final Calculation To find the correct percentage: \[ ? = \frac{700}{134} \approx 5.22 \] ### Conclusion None of the options provided match \( 5.22 \). Thus, we need to check the calculations or the options given.
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