Question Details

Find the approximate value that should replace the question mark (?) in the following equation:

? 80.95 + 23.97 % of 325.09 + 55.96 ÷ 7.93 = 88.06

Options

A

196

B

324

C

243

D

162

E

122

Show Answer

Correct Answer :

Option C

243

Solution :

The correct answer is 243.

To find the approximate value that should replace the question mark (?), we round off each decimal number in the given equation to its nearest whole number for simpler calculations.

Step 1: Approximate the individual terms:
• 80.95 ≈ 81
• 23.97% ≈ 24%
• 325.09 ≈ 325
• 55.96 ≈ 56
• 7.93 ≈ 8
• 88.06 ≈ 88

Step 2: Rewrite the original equation using these approximated values:

? 81 + 24 % of 325 + 56 ÷ 8 = 88

Step 3: Calculate each simplified numerical component:

First, evaluate the percentage portion:

24 % of 325 = 24 100 × 325

= 24 × 3.25 = 78

Next, evaluate the division portion:

56 ÷ 8 = 7

Step 4: Substitute the evaluated terms back into the equation:

? 81 + 78 + 7 = 88

? 81 + 85 = 88

Step 5: Isolate the question mark (?) to solve for its value:

Subtract 85 from both sides of the equation:

? 81 = 88 - 85

? 81 = 3

Multiply both sides by 81:

? = 3 × 81

? = 243

Thus, the approximate value that replaces the question mark is 243.

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