There are 25% more pink stamps than purple stamps in a bag. After Archie removed 20% of the pink stamps and increased the number of purple stamps by 35%, there are now 168 fewer pink stamps than purple stamps. Find the number of purple stamps at first.

	Pink	Purple
Before	5 u	4 u
Change	- 1 u	+ 1.4 u
After	4 u	5.4 u

Number of pink stamps in percentage
= 100% + 25%
= 125%

125% = ¹²⁵₁₀₀ = ⁵₄

Number of pink stamps that Archie removed
= 20% x 5 u
= ²⁰₁₀₀ x 5 u 
= 1 u

Number of purple stamps that Archie increased 
= 35% x 4 u
= ³⁵₁₀₀  x 4 u
= 1.4 u

Number of pink stamps in the end
= 5 u - 1 u
= 4 u

Number of purple stamps in the end
= 4 u + 1.4 u
= 5.4 u

Number of fewer pink stamps than purple stamps in the end
= 5.4 u - 4 u 
= 1.4 u 

1.4 u = 168

1 u = 168 ÷ 1.4 = 120

Number of purple stamps at first
= 4 u
= 4 x 120
= 480

Answer(s): 480