Gabby, Fanny and Gillian had 702 coins. Fanny won some of the coins from Gabby and as a result, Fanny's coins increased by 50%. Gillian then won some coins from Fanny and Gillian's coins increased by 30%. Finally, Gillian lost some of her coins to Gabby and Gabby's coins increased by 20%. In the end, they realised that they each had an equal number of coins. How many percent less did Gabby have in the end than what she had at first? Correct your answer to 1 decimal place.

Gabby	Fanny	Gillian
702
	2 u
- 1 u	+ 1 u
	3 u
		10 p
	- 3 p	+ 3 p
		13 p
5 boxes
+ 1 box		- 1 box
6 boxes
1 group	1 group	1 group

50% = ⁵⁰₁₀₀ = ¹₂
30% = ³⁰₁₀₀ = ³₁₀
20% = ²⁰₁₀₀ = ¹₅

Working backwards.

3 groups = 702

1 group = 702 ÷ 3 = 234

1 group = 6 boxes
6 boxes = 234

1 box = 234 ÷ 6 = 39

1 group + 1 box = 13 p
234 + 39 = 13 p
13 p = 273

1 p = 273 ÷ 13 = 21

3 p = 3 x 21 = 63

1 group + 3 p = 3 u
234 + 63 = 3 u
3 u = 297

1 u = 297 ÷ 3 = 99

Number of coins that Gabby had at first
= 5 boxes + 1 u
= (5 x 39) + 99
= 195 + 99
= 294

Percent that Gabby had less in the end than at first
= ^{294 - 234}₂₉₄ x 100%
≈ 20.4%

Answer(s): 20.4%