A jacket is reduced by 40% in a sale. The cost of the jacket is now £126. Pauline says " 40% of £126 is £50.40. So the jacket originally cost £176.40." Pauline is wrong explain why.

Question

Jan Wiley

Mathematics

7 October, 21:37

A jacket is reduced by 40% in a sale. The cost of the jacket is now £126. Pauline says " 40% of £126 is £50.40. So the jacket originally cost £176.40." Pauline is wrong explain why.

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Answers (1)

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Hayden Bradford · Answer 1

Pauline used the wrong base to compute the discount.

Step-by-step explanation:

Pauline is wrong because she figured the discount on £126 instead of the original cost. The actual discount is figured on the original cost, so £126 represents 60% of that cost.

The original cost is perhaps best found by dividing the sale price by 0.60 to get £210. Then we can check by computing the discount as 40% of £210, or £84, leaving a sale price of £210 - 84 = £126.