A box contains some pomegranates, chikoos and oranges. 0.2 of the pomegranates is equal to 40% of the chikoos. The number of oranges is ³₄ of the total number of chikoos and pomegranates. If there are 50 less chikoos than oranges, how many fruits are there in the box altogether?

Pomegranates	Chikoos	Oranges
2x4	1x4
4x3		3x3
8 u	4 u	9 u

0.2 = ²₁₀= ¹₅
40% = ⁴⁰₁₀₀ = ²₅

0.2 of the pomegranates is equal to 40% of the chikoos. Make the numerators the same.  LCM of 1 and 2 is 2.

1x25x2 of the pomegranates = 2x15x1 of the chikoos
210 of the pomegranates = 25 of the chikoos 

Pomegranates : Chikoos
10 : 5 _(÷5)
2 : 1

The total number of pomegranates and chikoos is repeated.  Make the total number of pomegranates and chikoos the same.  LCM of 3 and 4 is 12.

Number of less chikoos than oranges
= 9 u - 4 u
= 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Number of the fruits in the box altogether
= 8 u + 4 u + 9 u
= 21 u
= 21 x 10
= 210

Answer(s): 210