Reverse multi-stepvery hardFree question
After a 20% rise and then a 10% fall, a price is £205.20. What was the original price?
A£186.55
B£180.58
C£205.20
D£190.00
E£221.62
Worked solution
Combine the changes into one net factor (multiply them), then divide the final value by that factor. The correct answer is £190.00. Traps to avoid: £186.55 comes from the "netted the percents" error; £180.58 comes from the "reversed signs" error; £205.20 comes from the "gave the final price" error; £221.62 comes from the "applied forward again" error.
Try similar questions
A fund is worth £219m. Class A is 10.8% of it; within Class A, item B is 13.1%. What is th…Nested proportionAfter a 12% increase, a price is £196.00. What was the original price?Reverse percentageAfter a 15% increase, a price is £132.25. What was the original price?Reverse percentageA £380 item rises 20%, then a further 10% on the new price. What is the final price?Successive percentages