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There were 800 waiters in a hotel; of which 60% were males and the rest were females. The male waiters got a tip of 5% of the bill and the female waiters got a tip of 8% of the bill. Find the % change in the total tip amount, if the ratio of male to female gets reversed next year, but the total number of waiters remained the same. (You can assume that each male waiter gets an order of Rs. 600 and each female waiter gets an order of Rs. 500).
  • a)
    Decrease of 5.88%
  • b)
    Increase of 5.28%
  • c)
    Increase of 5.88%
  • d)
    Decrease of 5.28%
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There were 800 waiters in a hotel; of which 60% were males and the res...
To solve this problem, we need to calculate the total tip amount received by the waiters in the current scenario and then compare it with the total tip amount received in the reversed scenario.

Step 1: Calculate the total tip amount in the current scenario
Given that there are 800 waiters, and 60% of them are males, we can find the number of male waiters as follows:
Number of male waiters = 60% of 800 = 0.6 * 800 = 480

Similarly, the number of female waiters can be calculated as:
Number of female waiters = Total number of waiters - Number of male waiters
= 800 - 480 = 320

Next, we can calculate the total tip amount received by the male waiters:
Total tip amount for male waiters = Number of male waiters * Tip percentage * Order amount
= 480 * 5% * Rs. 600
= 480 * 0.05 * 600
= Rs. 14,400

Similarly, the total tip amount received by the female waiters can be calculated as:
Total tip amount for female waiters = Number of female waiters * Tip percentage * Order amount
= 320 * 8% * Rs. 500
= 320 * 0.08 * 500
= Rs. 12,800

Therefore, the total tip amount in the current scenario is:
Total tip amount = Total tip amount for male waiters + Total tip amount for female waiters
= Rs. 14,400 + Rs. 12,800
= Rs. 27,200

Step 2: Calculate the total tip amount in the reversed scenario
In the reversed scenario, the ratio of male to female waiters is reversed. This means that 60% of the waiters will be females and the remaining 40% will be males.

Using the same approach as before, we can calculate the number of male waiters in the reversed scenario as:
Number of male waiters = 40% of 800 = 0.4 * 800 = 320

The number of female waiters can be calculated as:
Number of female waiters = Total number of waiters - Number of male waiters
= 800 - 320 = 480

Next, we can calculate the total tip amount received by the male waiters in the reversed scenario:
Total tip amount for male waiters = Number of male waiters * Tip percentage * Order amount
= 320 * 8% * Rs. 600
= 320 * 0.08 * 600
= Rs. 15,360

Similarly, the total tip amount received by the female waiters can be calculated as:
Total tip amount for female waiters = Number of female waiters * Tip percentage * Order amount
= 480 * 5% * Rs. 500
= 480 * 0.05 * 500
= Rs. 12,000

Therefore, the total tip amount in the reversed scenario is:
Total tip amount = Total tip amount for male waiters + Total tip amount for female waiters
= Rs. 15,360 + Rs. 12,000
= Rs. 27,360

Step 3: Calculate the percentage change in the total tip amount
To calculate the percentage change, we can use the
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There were 800 waiters in a hotel; of which 60% were males and the rest were females. The male waiters got a tip of 5% of the bill and the female waiters got a tip of 8% of the bill. Find the % change in the total tip amount, if the ratio of male to female gets reversed next year, but the total number of waiters remained the same. (You can assume that each male waiter gets an order of Rs. 600 and each female waiter gets an order of Rs. 500).a)Decrease of 5.88%b)Increase of 5.28%c)Increase of 5.88%d)Decrease of 5.28%Correct answer is option 'C'. Can you explain this answer?
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