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Hardpercentages

~90s

Books borrowed in a week

A library lent 1,200 books in a week. 35% were fiction, 25% non-fiction, and the rest reference. On Monday alone, one sixth of the week's reference loans were made.

How many reference books were lent on Monday?

Show the answer and the worked solution

Correct answer: C.

80

Worked solution

  1. Reference loans = 40% of 1,200 = 480.
  2. Monday's share = 480 ÷ 6 = 80.

Answer: 80.

The idea

Compute the missing category from the percentages given, then apply the fraction to that category alone.

Shortcut. Chain the fractions: reference is 40% = 2/5, and 2/5 × 1/6 = 1/15, so Monday's reference loans are 1,200 ÷ 15 = 80.

Common trap. 96 — dividing the 480 reference loans by 5 instead of 6, as if thinking of a five-day week.

Books borrowed in a week — Caselets Aptitude Question

Books borrowed in a week: A library lent 1,200 books in a week. 35% were fiction, 25% non-fiction, and the rest… Answer and worked solution on CodeKairo.

Question

A library lent 1,200 books in a week. 35% were fiction, 25% non-fiction, and the rest reference. On Monday alone, one sixth of the week's reference loans were made.

How many reference books were lent on Monday?

Options

  1. 60
  2. 72
  3. 80
  4. 96
Show the answer and the worked solution

Correct answer: C. 80

Worked solution

  1. Reference loans = 40% of 1,200 = 480.
  2. Monday's share = 480 ÷ 6 = 80.

Answer: 80.

The idea

Compute the missing category from the percentages given, then apply the fraction to that category alone.

Shortcut. Chain the fractions: reference is 40% = 2/5, and 2/5 × 1/6 = 1/15, so Monday's reference loans are 1,200 ÷ 15 = 80.

Common trap. 96 — dividing the 480 reference loans by 5 instead of 6, as if thinking of a five-day week.

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