Question
In a sale , normal prices are reduced by 10% Nathalie bought a pair of shoes in the sale for £54 What was the original price of the shoes? square e Answer
Answer
4.2
(305 Votes)
Madison
Master · Tutor for 5 years
Answer
We can solve the above question to get the original price of the shoe. Following is the calculation steps to find out the answer. Begin with 90% equal to £54 because that's what we know (the sale price). Therefore, 1% is achieved when we do £54 / 90.1% equals £54 / 90 = £0.6Then if 1% equals to £0.6 , 100% - which is the original price, is: £0.6 X 100 = £60. Therefore the original price of the shoes is £60.To summarize: If in the sale, the price of shoes is £54 that represents 90 % then, 100%(original price) = (Sale price/ percentage for sale price) X 100Substituing the given values,Original price = (54/90) X 100 = £60
Explanation
This is a question where knowledge of percentage decrease is important. Clean understanding of percentage decrease is that if there is a x% decrease in a value, the final value comprises of (100-x)% of the initial value. In this case, the sale offers a
decrease in the normal prices. Hence in the sale, the price at which Nathalie bought the shoe, £54 represented (100-10)%, that is 90% of the shoes original price. We can therefore form an simple ratio question from this percent decrease condition: If £ 54 -------> 90% Then£ ?-------> 100%