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What will come in place of (?) in the fo...

What will come in place of (?) in the following questions ?
`(? - 80)/(15 xx 24) "of 432" xx 25 = 4800`

A

260

B

230

C

250

D

240

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \((? - 80)/(15 \times 24) \text{ of } 432 \times 25 = 4800\), we will follow these steps: ### Step 1: Understand the Equation The equation can be rewritten as: \[ \frac{(? - 80)}{(15 \times 24)} \times (432 \times 25) = 4800 \] This means we need to isolate the term \((? - 80)\). ### Step 2: Calculate \(15 \times 24\) First, let's calculate \(15 \times 24\): \[ 15 \times 24 = 360 \] ### Step 3: Calculate \(432 \times 25\) Next, we calculate \(432 \times 25\): \[ 432 \times 25 = 10800 \] ### Step 4: Substitute Back into the Equation Now we can substitute these values back into the equation: \[ \frac{(? - 80)}{360} \times 10800 = 4800 \] ### Step 5: Simplify the Equation To simplify, we can multiply both sides by \(360\): \[ (? - 80) \times 10800 = 4800 \times 360 \] ### Step 6: Calculate \(4800 \times 360\) Now, calculate \(4800 \times 360\): \[ 4800 \times 360 = 1728000 \] ### Step 7: Divide by 10800 Now, we divide both sides by \(10800\): \[ ? - 80 = \frac{1728000}{10800} \] ### Step 8: Calculate \(\frac{1728000}{10800}\) Calculating this gives: \[ \frac{1728000}{10800} = 160 \] ### Step 9: Solve for \(?\) Now we can solve for \(?\): \[ ? - 80 = 160 \] Adding \(80\) to both sides gives: \[ ? = 160 + 80 = 240 \] ### Final Answer Thus, the value that will come in place of (?) is: \[ \boxed{240} \] ---
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