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Tim and Jane both work for a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the amount of cereal in each box weighs 160g. The company wants to have a special offer 25% more cereal in each box do not change the price Here is Janes idea reduce the price and do not change the amount of cereal added in the box jane wants her idea to give the same value for money as tims idea. By what percentage does she need to reduce the price

User Nemus
by
6.0k points

1 Answer

3 votes

Answer:

20% reduction

Explanation:

Given


Price = 3.00


Weight = 160g


Rate = 25\%

Required

Price reduction in Jane's idea

First, calculate the new weight of the box (the original plan)


New = Weight * (1 + Rate)


New = 160g * (1 + 25\%)

Express 1 as percentage


New = 160g * (100\% + 25\%)


New = 160g * (125\%)


New = 200g

So, the original idea is:


200g \to #3.00

i.e. 200g costs 3 pounds each

Calculate unit price


Unit = (3.00)/(200)


Unit = 0.015 pound per gram

For Jane's idea, the price of each box will be:


Price = Weight *Unit


Price = 160 * 0.015


Price = 2.40 pound

The percentage reduction is then calculated as:


\% Reduction = (Original\ Price -Janes\ Price)/(Original\ Price) * 100\%


\% Reduction = (3.00 - 2.40)/(3.00) * 100\%


\% Reduction = (0.6)/(3.00) * 100\%


\% Reduction = (60)/(3.00)\%


\% Reduction = 20\%

User Kand
by
6.9k points
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