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A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ?
  • a)
    4/9
  • b)
    5/4
  • c)
    5/8
  • d)
    5/9
Correct answer is option 'D'. Can you explain this answer?
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Question Analysis:
The question states that a waiter's salary consists of his salary and tips. The tips for one week are given as 5/4 of his salary. We need to determine the fraction of his income that came from tips.

Given:
- Tips for one week = 5/4 of salary

To find:
- Fraction of income that came from tips

Solution:
Let's assume the waiter's salary for one week is x.

Step 1: Calculate the tips received by the waiter.
- Given that the tips are 5/4 of the salary.
- Tips = (5/4) * x = 5x/4

Step 2: Calculate the total income of the waiter.
- Total income = Salary + Tips
- Total income = x + 5x/4
- Total income = (4x + 5x)/4
- Total income = 9x/4

Step 3: Determine the fraction of income that came from tips.
- Fraction of income from tips = Tips / Total income
- Fraction of income from tips = (5x/4) / (9x/4)
- Fraction of income from tips = (5x/4) * (4/9x)
- Fraction of income from tips = 5/9

Answer:
The fraction of the waiter's income that came from tips is 5/9, which corresponds to option D.
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A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ?a)4/9b)5/4c)5/8d)5/9Correct answer is option 'D'. Can you explain this answer?
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