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Question

In a shipment of 120 machine parts 5 percent were defective In a shipment of 80 machine parts 10 percent were defective. For the two shipments combined what percent of the machine parts were defective?


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Solution

Step 1: Find the total number of defective parts.

Since, 5% parts are defective in a shipment of 120 machines.

5100·120=6

Therefore, 6 parts are defective in a shipment of 120 machines.

Since, 10% parts are defective in a shipment of 80 machines.

10100·80=8

Therefore, 8 parts are defective in a shipment of 80 machines.

Step 2: Compute the required percentage.

The total number of machine parts shipped will be given by:

120+80=200

The total number of defective parts will be given by:

6+8=14

So, the percentage of defective parts in the two shipments combined is:

14200·100=7%

Hence, 7% parts are defective in the two shipments combined.


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