Perry, Owen and Ivan had some stickers in the ratio of 2 : 3 : 5. Ivan gave 40% of his stickers to Perry and Owen. As a result, Perry had the same number of stickers as Owen and Ivan had 43 fewer stickers than Perry.

1. What was the percentage increase in Perry's stickers after receiving from Ivan?
2. How many stickers did Owen have at first?

Perry	Owen	Ivan	Total
2 u	3 u	5 u	10 u
+ 2 u		- 2 u
3.5 u	3.5 u	3 u	10 u

(a)
Number of stickers that Ivan gave away
= 40% x 5
= ⁴⁰₁₀₀ x 5
= 2 u

Number of stickers that Perry and Owen each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u

Increase in the number of stickers that Perry had
= 3.5 u - 2 u
= 1.5 u

Percentage increase in Perry's stickers after receiving from Ivan
= ^1.5₂ x 100%
= 75%

(b)
3.5 u = 3 u + 43
3.5 u - 3 u = 43
0.5 u = 43

1 u = 43 ÷ 0.5 = 86

Number of stickers that Owen had at first
= 3 u
= 3 x 86
= 258

Answer(s): (a) 75%; (b) 258