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What value will come in place of questio...

What value will come in place of question mark(?) in the question
`(255 xx 2000) div ? xx25 = 2550`

A

500

B

2500

C

250

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( (255 \times 2000) \div ? \times 25 = 2550 \), we will follow these steps: ### Step 1: Write down the equation We start with the equation: \[ \frac{255 \times 2000}{? \times 25} = 2550 \] ### Step 2: Calculate \( 255 \times 2000 \) Now, we calculate \( 255 \times 2000 \): \[ 255 \times 2000 = 510000 \] So, we can rewrite the equation as: \[ \frac{510000}{? \times 25} = 2550 \] ### Step 3: Cross-multiply Next, we cross-multiply to eliminate the fraction: \[ 510000 = 2550 \times (? \times 25) \] ### Step 4: Simplify the right side Now, we simplify the right side: \[ 510000 = 2550? \times 25 \] This can be rewritten as: \[ 510000 = 63750? \] (Here, \( 2550 \times 25 = 63750 \)) ### Step 5: Solve for ? Now, we solve for \( ? \): \[ ? = \frac{510000}{63750} \] ### Step 6: Perform the division Now, we perform the division: \[ ? = 8 \] ### Step 7: Verify the calculation To verify, we can multiply back: \[ 63750 \times 8 = 510000 \] This confirms our answer is correct. ### Final Answer Thus, the value that comes in place of the question mark (?) is: \[ \boxed{8} \]
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