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Question

Question: 39.998 % of 440.005 +? % of 654.889 = 229.81...

39.998 % of 440.005 +? % of 654.889 = 229.81

A

6

B

8

C

7

D

12

Answer

8

Explanation

Solution

Let the unknown percentage be xx. The given equation is: 39.998% of 440.005+x% of 654.889=229.8139.998 \% \text{ of } 440.005 + x \% \text{ of } 654.889 = 229.81

Calculate the first term: 39.998% of 440.0050.4×440=17639.998 \% \text{ of } 440.005 \approx 0.4 \times 440 = 176

Substitute this into the equation: 176+x100×654.889229.81176 + \frac{x}{100} \times 654.889 \approx 229.81

Isolate the term with xx: x100×654.889229.81176=53.81\frac{x}{100} \times 654.889 \approx 229.81 - 176 = 53.81

Solve for xx: x53.81×100654.88953816558.2175x \approx \frac{53.81 \times 100}{654.889} \approx \frac{5381}{655} \approx 8.2175

The closest integer option is 8.