# Work out the normal price in the second shop ?

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2 shops are selling the same hoover. in the first shop the customer pays £7.25 per month for 13 months.

in the second shop the customer gets 35% discount on the shops normal price. with these offers the customer pays the same amount in total for the hoover.

2 shops are selling the same hoover. in the first shop the customer pays £7.25 per month for 13 months.

in the second shop the customer gets 35% discount on the shops normal price. with these offers the customer pays the same amount in total for the hoover.

##### 1 Answer

Normal price in the second shop is

#### Explanation:

Shop 1

Set the original price as

Shop 2

Lets look at Shop 2 another way.

If there was 35% discount then what was paid was 100%-35%=65%

So we have:

Multiply both sides by .

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Paying over a period usually costs more (interest). So perhaps the first shop would be a better buy if you paid in full. That way you do not pay interest.