The price of lunch for 15 people was $206.00, including a 15 percent gratuity for service.
The price of lunch for 15 people was $206.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
Answer/Solution
$12.48
Steps/Work
Take the initial price before the gratuity is 100
The gratuity is calculated on the final price, so as we assumed the final bill before adding gratuity is 100 so gratuity is 15% of 100 is 15 so the total price of meals is 115 so the given amount i.e 206 is for 115 then we have to calculate for 100
for 115 206
for 100 x
so by cross multiplication we get 115x=100*206 => x=100*206/110 by simplifying we get x as 187.27 which is the price of lunch before gratuity so the gratuity is 18.73 so
as the question ask the average price person excluding gratuity is 187.27/15=12.48 so our answer is B)
The gratuity is calculated on the final price, so as we assumed the final bill before adding gratuity is 100 so gratuity is 15% of 100 is 15 so the total price of meals is 115 so the given amount i.e 206 is for 115 then we have to calculate for 100
for 115 206
for 100 x
so by cross multiplication we get 115x=100*206 => x=100*206/110 by simplifying we get x as 187.27 which is the price of lunch before gratuity so the gratuity is 18.73 so
as the question ask the average price person excluding gratuity is 187.27/15=12.48 so our answer is B)