Multiple choice

There are 800 waiters in a hotel, of which 60% are males and the rest are females. The male waiters get a tip of 5% of the bill and the female waiters get a tip of 8% of the bill. If the ratio of the number of males to that of females gets reversed next year, but the total number of waiters remains the same, then find the percentage change in the total tip amount. (Assume that each male waiter gets an order of Rs. 600 and each female waiter gets an order of Rs. 500.)

  1. Decrease of 5.88%

  2. Increase of 5.28%

  3. Increase of 5.88%

  4. Decrease of 5.28%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: 480 males (5% of 600 = 30 tip each), 320 females (8% of 500 = 40 tip each). Total tip = 480*30 + 320*40 = 14400 + 12800 = 27200. New: 320 males, 480 females. New tip = 320*30 + 480*40 = 9600 + 19200 = 28800. Change = (28800-27200)/27200 = 1600/27200 = 1/17 = 5.88%.

AI explanation

Initially, there are 480 males earning a 5% tip on a 600 bill (30) and 320 females earning an 8% tip on a 500 bill (40), resulting in a total tip of 14400 plus 12800, which is 27200. When the ratio reverses, there are 320 males earning a total of 9600 and 480 females earning a total of 19200, making the new total tip 28800. The increase is 1600, and the percentage change is (1600 divided by 27200) multiplied by 100, resulting in an increase of 5.88%.

Keep practicing — related questions