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Mr. Johnson was to earn � 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned � 30 and a free holiday. What was the value of the holiday?
  • a)
    � 300
  • b)
    � 330
  • c)
    � 360
  • d)
    � 420
Correct answer is option 'B'. Can you explain this answer?
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Mr. Johnson was to earn � 300 and a free holiday for seven weeks' work...
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Mr. Johnson was to earn � 300 and a free holiday for seven weeks' work...
To find the value of the holiday, we need to calculate the difference between what Mr. Johnson was supposed to earn and what he actually earned.

Supposed earnings:
Mr. Johnson was supposed to earn £300 and a free holiday for seven weeks' work.

Actual earnings:
Mr. Johnson worked for only 4 weeks and earned £30 and a free holiday.

Calculations:
1. Weekly earnings:
Supposed weekly earnings = £300 / 7 weeks = £42.86 (rounded to two decimal places)
Actual weekly earnings = £30 / 4 weeks = £7.50

2. Difference in weekly earnings:
Difference in weekly earnings = Supposed weekly earnings - Actual weekly earnings
= £42.86 - £7.50
= £35.36 (rounded to two decimal places)

3. Value of the holiday:
The value of the holiday is the difference in the weekly earnings multiplied by the number of weeks Mr. Johnson did not work.
Value of the holiday = Difference in weekly earnings × (7 weeks - 4 weeks)
= £35.36 × 3 weeks
= £106.08 (rounded to two decimal places)

Therefore, the value of the holiday is £106.08.

Hence, option 'B' (£330) is the correct answer.
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