Ticket for an adult is Rs 1500 and a child is Rs 800. 1 child goes free with two adults. If a group has 25 adults and 12 children, what is the discount percentage the group gets?
- A26.47 percent
- B20.38 percent
- C31.60 percent
- D33.33 percent
Solution & Step-by-step Explanation
1. Calculate the total cost without any discount (Total Marked Price):
Cost for 25 adults=25×1500=Rs 37500
Cost for 12 children=12×800=Rs 9600
Total Original Cost=37500+9600=Rs 47100
Calculate the number of free children based on the rule:
"1 child goes free with two adults."
With 25 adults, the number of pairs of adults is:
⌊25/2⌋=12 pairs
So up to 12 children can go for free. Since the group contains exactly 12 children, all 12 children are eligible to go free.
Calculate the discount amount:
Total Discount=12×800=Rs 9600
Calculate the discount percentage:
Discount Percentage=(
Total Original Cost
Discount
)×100
Discount Percentage=(
47100
9600
)×100≈20.3819%
Thus, the discount the group gets is approximately 20.38%.
Cost for 25 adults=25×1500=Rs 37500
Cost for 12 children=12×800=Rs 9600
Total Original Cost=37500+9600=Rs 47100
Calculate the number of free children based on the rule:
"1 child goes free with two adults."
With 25 adults, the number of pairs of adults is:
⌊25/2⌋=12 pairs
So up to 12 children can go for free. Since the group contains exactly 12 children, all 12 children are eligible to go free.
Calculate the discount amount:
Total Discount=12×800=Rs 9600
Calculate the discount percentage:
Discount Percentage=(
Total Original Cost
Discount
)×100
Discount Percentage=(
47100
9600
)×100≈20.3819%
Thus, the discount the group gets is approximately 20.38%.