Daniel, John and Julian had some coins in the ratio of 2 : 3 : 5. Julian gave 40% of his coins to Daniel and John. As a result, Daniel had the same number of coins as John and Julian had 36 fewer coins than Daniel.

1. What was the percentage increase in Daniel's coins after receiving from Julian?
2. How many coins did John have at first?

Daniel	John	Julian	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 coins that Julian gave away
= 40% x 5
= ⁴⁰₁₀₀ x 5
= 2 u

Number of coins that Daniel and John each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u

Increase in the number of coins that Daniel had
= 3.5 u - 2 u
= 1.5 u

Percentage increase in Daniel's coins after receiving from Julian
= ^1.5₂ x 100%
= 75%

(b)
3.5 u = 3 u + 36
3.5 u - 3 u = 36
0.5 u = 36

1 u = 36 ÷ 0.5 = 72

Number of coins that John had at first
= 3 u
= 3 x 72
= 216

Answer(s): (a) 75%; (b) 216