Question

Nina is selling three types of energy bars at a market stall. She bought 50 Enerbars at 30p per bar and 150 Grainbars at 50p per bar from her normal supplier. She was also given 50 Amazebars as a promotion from a new supplier. Nina sells the bars for £2.20 and manages to sell all the Enerbars and Grainbars but only some Amazebars. She makes a profit of £402.80. How many Amazebars did she sell?

Answer 1

24

Explanation:

Given that:

Cost of each Enerbar = 30p

Number of Enerbars = 50

Cost of each grain bar = 50p

Number of grain bars = 150

Number of Amazebars = 50

Cost of each Amazebar = 0p (Because it was given as promotion)

Sales price of each bar = £2.20

Total profit earned = £402.80

All other bars were sold but Amazebars.

To find:

How many Amazebars were sold?

Solution:

First of all, let us have a look at the profit earned by selling each type of bar.

Profit is nothing but the difference between sales price and cost price.

Profit at selling each Enerbar = £2.20 - 30p = £1.90

Profit at selling 50 Enerbars = £1.90
`*` 50 = £95

Profit at selling each grain bar = £2.20 - 50p = £1.70

Profit at selling 50 grain bars = £1.70
`*` 150 = £255

Profit by selling Enerbars and grain bars = £95 + £255 = £350

Profit by Amazebars = £402.80 - £350 = £52.8

Number of Amazebars sold = Profit by Amazebars divided by Profit by selling one Amazebar

`\Rightarrow (\£52.80)/(\£2.2)\\\Rightarrow \bold{24}`