Ticket for an adult is Rs 1600 and a child is Rs 600. One child goes free with two adults. If a group has 17 adults and 7 children, what is the discount the group gets?
- A13.37percent
- B26.02percent
- C24.41percent
- D32.2percent
Solution & Step-by-step Explanation
Let's calculate the total cost without any scheme or offer:
Cost of 17 adults=17×1600=Rs 27200
Cost of 7 children=7×600=Rs 4200
Total original cost=27200+4200=Rs 31400
According to the offer, 1 child goes free with every 2 adults.
The group has 17 adults. The maximum number of pairs of adults is:
⌊
2
17
⌋=8 pairs
Since there are only 7 children in the group and we have the capacity to accommodate up to 8 free children, all 7 children will get their tickets for free.
Total discount received (value of free tickets)=7×600=Rs 4200
Now, we calculate the discount percentage:
Discount Percentage=(
Total Original Cost
Total Discount
)×100
Discount Percentage=(
31400
4200
)×100=
314
4200
≈13.3758%
Rounding off gives approximately 13.37%.
Cost of 17 adults=17×1600=Rs 27200
Cost of 7 children=7×600=Rs 4200
Total original cost=27200+4200=Rs 31400
According to the offer, 1 child goes free with every 2 adults.
The group has 17 adults. The maximum number of pairs of adults is:
⌊
2
17
⌋=8 pairs
Since there are only 7 children in the group and we have the capacity to accommodate up to 8 free children, all 7 children will get their tickets for free.
Total discount received (value of free tickets)=7×600=Rs 4200
Now, we calculate the discount percentage:
Discount Percentage=(
Total Original Cost
Total Discount
)×100
Discount Percentage=(
31400
4200
)×100=
314
4200
≈13.3758%
Rounding off gives approximately 13.37%.