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What should come in place of question ma...

What should come in place of question mark (?) in following questions ?
(48% of 625) `div` 0.75 = ?

A

800

B

None of these

C

40

D

400

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question \( (48\% \text{ of } 625) \div 0.75 = ? \), we will follow these steps: ### Step 1: Calculate 48% of 625 To find 48% of 625, we can use the formula for percentage: \[ \text{Percentage} = \left( \frac{\text{Percentage value}}{100} \right) \times \text{Total} \] So, we calculate: \[ 48\% \text{ of } 625 = \left( \frac{48}{100} \right) \times 625 \] ### Step 2: Simplify the calculation Now, we simplify the calculation: \[ 48\% \text{ of } 625 = 0.48 \times 625 \] Calculating \( 0.48 \times 625 \): \[ 0.48 \times 625 = 300 \] ### Step 3: Divide the result by 0.75 Now we need to divide the result (300) by 0.75: \[ 300 \div 0.75 \] ### Step 4: Perform the division To perform the division, we can multiply by the reciprocal of 0.75: \[ 300 \div 0.75 = 300 \times \frac{4}{3} \] Calculating: \[ 300 \times \frac{4}{3} = 400 \] ### Final Answer Thus, the value that should come in place of the question mark (?) is: \[ \boxed{400} \]
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