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What comes at the place of question (?) ...

What comes at the place of question (?) mark :
`(?)/(24) + "65% of 260" = 4 xx 49.75`

A

640

B

840

C

960

D

720

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 (?). The equation is: \[ \frac{?}{24} + 65\% \text{ of } 260 = 4 \times 49.75 \] ### Step 1: Calculate \( 4 \times 49.75 \) First, we need to calculate the right side of the equation: \[ 4 \times 49.75 = 199 \] ### Step 2: Calculate \( 65\% \text{ of } 260 \) Next, we calculate \( 65\% \text{ of } 260 \): \[ 65\% = \frac{65}{100} = 0.65 \] \[ 0.65 \times 260 = 169 \] ### Step 3: Substitute the values back into the equation Now we can substitute these values back into the equation: \[ \frac{?}{24} + 169 = 199 \] ### Step 4: Isolate the fraction To isolate the fraction, we subtract 169 from both sides: \[ \frac{?}{24} = 199 - 169 \] \[ \frac{?}{24} = 30 \] ### Step 5: Solve for the question mark (?) Now, we can solve for the question mark by multiplying both sides by 24: \[ ? = 30 \times 24 \] \[ ? = 720 \] Thus, the value that comes at the place of the question mark is **720**. ### Final Answer: The answer is **720**. ---
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