Question : In a motor with 120 machine parts, 5% of the parts were defective. In another motor with 80 machine parts, 10% of the parts were defective. For the two motors considered together, the percentage of defective machine parts was:
Option 1: 7
Option 2: 6.5
Option 3: 7.5
Option 4: 8
Correct Answer: 7
Solution :
We have,
Defective parts in 120 machine parts = 5% of 120 = 6
Defective parts in 80 machine parts = 10% of 80 = 8
Total number of defectives parts = 6 + 8 = 14
Total number of machine parts = 120 + 80 = 200
Total percentage of defective parts in the two motors = $\frac{14}{200}$ × 100 = 7%
Hence, the correct answer is 7.
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