Caden, Ahmad and George had some stamps in the ratio of 2 : 3 : 5. George gave 40% of his stamps to Caden and Ahmad. As a result, Caden had the same number of stamps as Ahmad and George had 41 fewer stamps than Caden.

1. What was the percentage increase in Caden's stamps after receiving from George?
2. How many stamps did Ahmad have at first?

Caden	Ahmad	George	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 stamps that George gave away
= 40% x 5
= ⁴⁰₁₀₀ x 5
= 2 u

Number of stamps that Caden and Ahmad each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u

Increase in the number of stamps that Caden had
= 3.5 u - 2 u
= 1.5 u

Percentage increase in Caden's stamps after receiving from George
= ^1.5₂ x 100%
= 75%

(b)
3.5 u = 3 u + 41
3.5 u - 3 u = 41
0.5 u = 41

1 u = 41 ÷ 0.5 = 82

Number of stamps that Ahmad had at first
= 3 u
= 3 x 82
= 246

Answer(s): (a) 75%; (b) 246