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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

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

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

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Answer

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YlvaAdvanced · Tutor for 1 years

Answer

According to my analysis and calculations following the steps mentioned earlier:<br />## Calculation 1<br />Resolving equation derived in Step 1 gives original price that is €30.<br />## Calculation 2<br />Further \(25\%\) discount off initial reduced price allows reduction of \(€ (€21*25/100) = €5.25\), <br />then, the new price of \(€21 - €5.25 = €15.75\), roughly constitute a 47.5% reduction as opposed to shop claimed over 50% discount.<br />Hence, the customer is indeed correct. The claim made by the store is misleading as it falsely advertises more than a half-price discount.

Explain

## Step1<br />Firstly, calculate the original price of the item. Since the shop had initially given a discount of \(30\%\), the reduced price of €21 equals 70% of the original price. Let \(x\) be the original price, then we set up an equation as follows:<br />### \(70\%*x = € 21\)<br />## Step2<br /> Solve the linear equation for \(x\) to find the original price.<br />## Step3<br />To next ascertain the accuracy of the customer's claim, we would calculate a further \(25\%\) discount on the already reduced price and sum it with the initial \(30\%\) discount given. A value close to or below \(50\%\) could support the customer's claim.
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