Usha and Rachel collected stamps. Usha gave 25% of her stamps to Rachel and as a result, Rachel's stamps increased by 30%. If Usha had 63 stamps left, find the number of stamps Rachel should give to Usha in the end so that both had an equal number of stamps.

	Usha	Rachel	Comparing the change in Rachel's stamps
Before	4x3 = 12 u		10x1 = 10u
Change	- 1x3 = - 3 u	+ 1x3 = + 3 u	+ 3x1 = + 3 u
After	3x3 = 9 u		13x1 = 13 u

25% = ²⁵₁₀₀ = ¹₄
30% = ³⁰₁₀₀ = ³₁₀

The increase in the number of stamps that Rachel had is repeated.  Make the increase in the number of stamps that Rachel had the same. LCM of 1 and 3 = 3

9 u = 63

1 u = 63 ÷ 9 = 7

Number of stamps that Rachel had more than Usha in the end
= 13 u - 9 u
= 4 u

Number of stamps that Rachel should give to Usha so that both had an equal number of stamps in the end
= 4 u ÷ 2
= 2 u
= 2 x 7
= 14

Answer(s): 14