There are 25% more blue beads than red beads in a bag. After Harry removed 20% of the blue beads and increased the number of red beads by 35%, there are now 154 fewer blue beads than red beads. Find the number of red beads at first.

	Blue	Red
Before	5 u	4 u
Change	- 1 u	+ 1.4 u
After	4 u	5.4 u

Number of blue beads in percentage
= 100% + 25%
= 125%

125% = ¹²⁵₁₀₀ = ⁵₄

Number of blue beads that Harry removed
= 20% x 5 u
= ²⁰₁₀₀ x 5 u 
= 1 u

Number of red beads that Harry increased 
= 35% x 4 u
= ³⁵₁₀₀  x 4 u
= 1.4 u

Number of blue beads in the end
= 5 u - 1 u
= 4 u

Number of red beads in the end
= 4 u + 1.4 u
= 5.4 u

Number of fewer blue beads than red beads in the end
= 5.4 u - 4 u 
= 1.4 u 

1.4 u = 154

1 u = 154 ÷ 1.4 = 110

Number of red beads at first
= 4 u
= 4 x 110
= 440

Answer(s): 440