⁵₆ of Vaidev's savings comprised of 5-cent coins and 50-cent coins. Vaidev used some 5-cent coins to purchase a kitchen set. The number of 50-cent coins left was 40% more than the number of 5-cent coins left. Given that Vaidev had 4 more 50-cent coins than 5-cent coins left in the end, find the amount of money Vaidev spent on the kitchen set.

	5-cent coins	50-cent coins
Before	5x7 = 35 u	1x7 = 7 u
Change	- 30 u
After	5x1 = 5 u	7x1 = 7 u

Fraction of Vaidev's savings that comprised of 50-cent coins
= 1 - ⁵₆
= ¹₆

Number of 50-cents coins in the end in percentage
= 100% + 40%
= 140%

140% = ¹⁴⁰₁₀₀ = ⁷₅

Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same.  LCM of 1 and 7 is 7.

Number of more 50-cent coins than 5-cent coins
= 7 u - 5 u
= 2 u

2 u = 4

1 u = 4 ÷ 2 = 2

Number of 5-cent coins spent on the kitchen set 
= 35 u - 5 u
= 30 u
= 30 x 2
= 60

Amount that Vaidev spent on the kitchen set 
= 60 x 0.05
= $3

Answer(s): $3