Question
There is 30% off all black tag items. 30% OFF Reduced price C.21 One day this notice appears in the shop One day only BLACK TAG An extra 25% off marked reduced price BETTER THAN HALF PRICE! A customer complains that the notice is misleading because it is not true is the customer correct? Explan your decision Include calculations to support your decision
Answer
4
(359 Votes)
Ylva
Advanced · Tutor for 1 years
Answer
According to my analysis and calculations following the steps mentioned earlier:## Calculation 1Resolving equation derived in Step 1 gives original price that is €30.## Calculation 2Further
discount off initial reduced price allows reduction of \(€ (€21*25/100) = €5.25\), then, the new price of
, roughly constitute a 47.5% reduction as opposed to shop claimed over 50% discount.Hence, the customer is indeed correct. The claim made by the store is misleading as it falsely advertises more than a half-price discount.
Explanation
## Step1Firstly, calculate the original price of the item. Since the shop had initially given a discount of
, the reduced price of €21 equals 70% of the original price. Let
be the original price, then we set up an equation as follows:###
## Step2 Solve the linear equation for
to find the original price.## Step3To next ascertain the accuracy of the customer's claim, we would calculate a further
discount on the already reduced price and sum it with the initial
discount given. A value close to or below
could support the customer's claim.