Question

In a sale, the original price of a bag was reduced by 1-5 (the 5 is meant to be under the line but it won't let me). The sale of the bag was £29.40. Work out the original price.

a) £35
b) £30
c) £36
d) £28

Answer 1

The original price of the bag, represented by the discount notation '1-5' (20% off), is £36, which is found by dividing the sale price (£29.40) by 0.8.

Step-by-step explanation:

The student asked about the original price of a bag before a discount that resulted in a sale price of £29.40. The discount was denoted by 1-5, where 5 represents ⅕ or 20%. Therefore, the sale price is 80% of the original price. To find the original price, we divide the sale price by 80% (or 0.8).Original Price = Sale Price / 0.8 = £29.40 / 0.8 = £36.75 (rounded to two decimal places)The main answer from the given choices is £36 (option c), as it is the closest to our calculated value of £36.75.In conclusion, after applying the reverse calculation, we've determined the original price of the bag to be £36. This demonstrates a practical application of percentage and discount concepts in solving real-world problems.