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What approximate value will come in plac...

What approximate value will come in place of the question mark (?) in the following questions ?
`34.99%" of "899.85-541.99=?-24%" of "50.99`

A

a) -214.894885

B

b) 1880

C

c) 1480

D

d) 1580

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 34.99\% \) of \( 899.85 - 541.99 = ? - 24\% \) of \( 50.99 \), we will follow these steps: ### Step 1: Calculate \( 34.99\% \) of \( 899.85 \) To find \( 34.99\% \) of \( 899.85 \), we can convert the percentage to a decimal and multiply: \[ 34.99\% = \frac{34.99}{100} = 0.3499 \] Now, multiply by \( 899.85 \): \[ 0.3499 \times 899.85 \approx 314.83 \] ### Step 2: Subtract \( 541.99 \) from the result Now, we will subtract \( 541.99 \) from the result obtained in Step 1: \[ 314.83 - 541.99 \approx -227.16 \] ### Step 3: Calculate \( 24\% \) of \( 50.99 \) Next, we need to find \( 24\% \) of \( 50.99 \): \[ 24\% = \frac{24}{100} = 0.24 \] Now, multiply by \( 50.99 \): \[ 0.24 \times 50.99 \approx 12.23 \] ### Step 4: Set up the equation Now we can set up the equation based on the original problem: \[ -227.16 = ? - 12.23 \] ### Step 5: Solve for \( ? \) To find \( ? \), we can rearrange the equation: \[ ? = -227.16 + 12.23 \] Calculating this gives: \[ ? \approx -214.93 \] ### Final Answer The approximate value that will come in place of the question mark (?) is: \[ ? \approx -214.93 \] ---
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