Question 67

A company received two shipments of ball bearings. In the first shipment, 1 per cent of the ball bearings were defective. In the second shipment, which was twice as large as the first, 4.5 percent of the ball bearings were defective. If the company received a total of 100 defective ball bearings, then how many ball bearings were there in the first shipment?

Solution

Let, 'x' and '2x' be the number of goods in first shipment and second shipment respectively.

Defective pieces in 1st shipment is '1%' and 2nd shipment is 4.5%

Total defective pieces is 100 i.e

1% of x + 4.5% of x = 100

10% of x = 100 (or) x = 1000.

Total ball bearings in the first bearing = 1000

Hence, option C is the correct answer.

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