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What should come in place of question ma...

What should come in place of question mark
`48%of840=36%of?`

A

1080

B

1320

C

1240

D

1120

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 48\% \text{ of } 840 = 36\% \text{ of } ? \), we can follow these steps: ### Step 1: Convert percentages to fractions We start by converting the percentages into fractions: - \( 48\% = \frac{48}{100} \) - \( 36\% = \frac{36}{100} \) ### Step 2: Set up the equation Now we can rewrite the equation: \[ \frac{48}{100} \times 840 = \frac{36}{100} \times ? \] ### Step 3: Eliminate the denominators We can eliminate the denominators by multiplying both sides of the equation by 100: \[ 48 \times 840 = 36 \times ? \] ### Step 4: Calculate \( 48 \times 840 \) Now we calculate \( 48 \times 840 \): \[ 48 \times 840 = 40320 \] ### Step 5: Rewrite the equation Now we can rewrite the equation as: \[ 40320 = 36 \times ? \] ### Step 6: Solve for \( ? \) To find \( ? \), we divide both sides by 36: \[ ? = \frac{40320}{36} \] ### Step 7: Perform the division Now we perform the division: \[ ? = 1120 \] ### Final Answer Thus, the value that should come in place of the question mark is: \[ \boxed{1120} \] ---
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