A company produces on an average $4000$ items per month for the first $3$ months. How many items it must produce on an average per month over the last $9$ months, to average $4375$ items per month over the whole?

4500

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4600

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4680

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4710

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Solution

The correct option is A $4500$
Total items of first 3 months $= 4000 \times 3 = 12000$
Total items of 12 months $= 4375 \times 12 = 52500$
Average of last 9 months $= \frac{52500 - 12000}{9} = \frac{40500}{9} = 4500$

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A company produces on an average 4000 items per month for the first 3 months. How many items it must produce on an average per month over the last 9 months, to average 4375 items per month over the whole?

The correct option is A 4500Total items of first 3 months =4000×3=12000Total items of 12 months =4375×12=52500Average of last 9 months =52500−120009=405009=4500

A company produces on an average $4000$ items per month for the first $3$ months. How many items it must produce on an average per month over the last $9$ months, to average $4375$ items per month over the whole?

The correct option is A $4500$
Total items of first 3 months $= 4000 \times 3 = 12000$
Total items of 12 months $= 4375 \times 12 = 52500$
Average of last 9 months $= \frac{52500 - 12000}{9} = \frac{40500}{9} = 4500$