Question

Q10 A student wants to raise £100 for charity.

He will sell hot dogs at a disco.
The Supermarket
He will make 150 hot dogs.
Hot dog sausages tin of 8 50p
Hot dog buns packet of 6 90p
He buys ingredients at The Supermarket
If he sells all the hot dogs, what is the minimum price he must charge to make a profit of £100?
Show all your working​

Answer 1

He must charge minimum £0.84 for one hot dog.

Explanation:

Ingredients cost for hot dogs at the supermarket,

Price of dog sausages tin of 8 = 50p ≈ £0.5

Price of dog bun packs of 6 = 90p ≈ £0.90

Number of tins required for 150 hot dogs =
`(150)/(8)` = 6.25

So student will purchase 7 tins.

Cost of 7 tins = 7 × 0.5

= £3.5

Number of dog buns packets required =
`(150)/(6)` = 25

Cost of 25 packs = 25 × 0.9

= £22.5

Total cost of the material used for 150 buns = 22.5 + 3.5

= £26.0

Let the selling price of each hot dog = £x

Then selling price of 150 hot dogs = £150x

Students wants the profit = £100

So, Selling price - Cost price = profit

150x - 26 = 100

150x = 126

x =
`(126)/(150)`

x = £0.84

Therefore, he must charge minimum £0.84 for one hot dog.