Japheth, Reggie, Vaidev and Albert paid a total of $540 for a gift. Albert paid ²₇ of what the rest paid. Japheth paid 25% of what the rest paid. Reggie and Vaidev paid an equal amount of money. How much did Vaidev pay?

Japheth	Reggie	Vaidev	Albert	Total
7x5			2x5	9x5
1x9	4x9			5x9
	1	1
9 u	13 u	13 u	10 u	45 u

25%= ²⁵₁₀₀= ¹₄
Japheth's share : Total share = 1 : 4

The total amount paid for the gift is repeated.  Make the total amount the same.  LCM of 9 and 5 is 45.

Amount that Reggie, Vaidev and Albert paid = 36 u

Amount that Reggie and Vaidev paid
= 36 u - 10 u
= 26 u

The amount that Reggie and Vaidev each paid is the same.

Amount that Reggie and Vaidev each paid
= 26 u ÷ 2
= 13 u

Cost of the gift = 45 u

45 u = 540

1 u = 540 ÷ 45 = 12

Amount that Vaidev paid
= 13 u
= 13 x 12
= $156

Answer(s): $156