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In a motor of 220 machine parts, 10% parts were defective. In another motor of 160 machine parts, 20% parts were defective. For the two motors considered together, the percentage of non- defective machine parts were?

Question

In a motor of 220 machine parts, 10% parts were defective. In another motor of 160 machine parts, 20% parts were defective. For the two motors considered together, the percentage of non- defective machine parts were?

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Solution

Step 1: Calculate the number of defective parts in each motor.

For the first motor with 220 parts, 10% were defective. So, the number of defective parts is 10/100 * 220 = 22 parts.

For the second motor with 160 parts, 20% were defective. So, the number of defective parts is 20/100 * 160 = 32 parts.

Step 2: Calculate the total number of parts and the total number of defective parts.

The total number of parts is 220 + 160 = 380 parts. The total number of defective parts is 22 + 32 = 54 parts.

Step 3: Calculate the number of non-defective parts.

The number of non-defective parts is the total number of parts minus the total number of defective parts. So, the number of non-defective parts is 380 - 54 = 326 parts.

Step 4: Calculate the percentage of non-defective parts.

The percentage of non-defective parts is the number of non-defective parts divided by the total number of parts, times 100. So, the percentage of non-defective parts is 326/380 * 100 = 85.79%.

So, for the two motors considered together, the percentage of non-defective machine parts is approximately 85.79%.

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