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Meeting a production target

A factory must produce 12,000 units in a month. In the first 18 days it produced 6,300 units. The month has 30 days.

How many units per day must it average over the remaining days to meet the target?

Show the answer and the worked solution

Correct answer: B.

475

Worked solution

  1. Remaining units = 12,000 − 6,300 = 5,700.
  2. Remaining days = 30 − 18 = 12.
  3. Required average = 5,700 / 12 = 475 units per day.

Answer: 475.

The idea

Work with what is left, not with what was done. Remaining work ÷ remaining time is the whole of this question type.

Shortcut. Estimate from 500 a day: 12 × 500 = 6,000 is 300 more than the 5,700 needed, and 300 ÷ 12 = 25, so the rate is 500 − 25 = 475.

Common trap. 525 comes from dividing the 6,300 already produced by the 12 days left (6,300 ÷ 12) instead of the 5,700 still to make.

Meeting a production target — Caselets Aptitude Question

Meeting a production target: A factory must produce 12,000 units in a month. In the first 18 days it produced 6,300… Answer and worked solution on CodeKairo.

Question

A factory must produce 12,000 units in a month. In the first 18 days it produced 6,300 units. The month has 30 days.

How many units per day must it average over the remaining days to meet the target?

Options

  1. 450
  2. 475
  3. 500
  4. 525
Show the answer and the worked solution

Correct answer: B. 475

Worked solution

  1. Remaining units = 12,000 − 6,300 = 5,700.
  2. Remaining days = 30 − 18 = 12.
  3. Required average = 5,700 / 12 = 475 units per day.

Answer: 475.

The idea

Work with what is left, not with what was done. Remaining work ÷ remaining time is the whole of this question type.

Shortcut. Estimate from 500 a day: 12 × 500 = 6,000 is 300 more than the 5,700 needed, and 300 ÷ 12 = 25, so the rate is 500 − 25 = 475.

Common trap. 525 comes from dividing the 6,300 already produced by the 12 days left (6,300 ÷ 12) instead of the 5,700 still to make.

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