IMC 2006 Q17
17. Last year, on the television programme Antiques Roadshow, a painting was said to be worth £15 000 although the painting had originally cost only 50p. As a percentage of the original price, what would be the approximate profit if the painting were to be sold for £15 000?
- A 15 000 %
- B 30 000 %
- C 300 000 %
- D 1 500 000 %
- E 3 000 000 %
Intermediate Mathematical Challenge 2006, Question 17. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 3 000 000 %
The profit made would be £14 999.50, which is 29 999 times the original price. So that gives a profit of 29 999 × 100%, that is 2 999 900%.
Solution © UK Mathematics Trust, from the IMC 2006 solutions.