Julian, Vaidev and Fabian had some erasers in the ratio of 2 : 3 : 5. Fabian gave 40% of his erasers to Julian and Vaidev. As a result, Julian had the same number of erasers as Vaidev and Fabian had 30 fewer erasers than Julian.

1. What was the percentage increase in Julian's erasers after receiving from Fabian?
2. How many erasers did Vaidev have at first?

Julian	Vaidev	Fabian	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 erasers that Fabian gave away
= 40% x 5
= ⁴⁰₁₀₀ x 5
= 2 u

Number of erasers that Julian and Vaidev each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u

Increase in the number of erasers that Julian had
= 3.5 u - 2 u
= 1.5 u

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

(b)
3.5 u = 3 u + 30
3.5 u - 3 u = 30
0.5 u = 30

1 u = 30 ÷ 0.5 = 60

Number of erasers that Vaidev had at first
= 3 u
= 3 x 60
= 180

Answer(s): (a) 75%; (b) 180