A box contains some lemons, chikoos and persimmons. 0.2 of the lemons is equal to 70% of the chikoos. The number of persimmons is ²₃ of the total number of chikoos and lemons. If there are 40 more persimmons than chikoos, how many fruits are there in the box altogether?

Lemons	Chikoos	Persimmons
7x1	2x1
3x3		2x3
7 u	2 u	6 u

0.2 = ²₁₀= ¹₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.2 of the lemons is equal to 70% of the chikoos. Make the numerators the same.  LCM of 1 and 7 is 7.

1x75x7 of the lemons = 7x110x1 of the chikoos
735 of the lemons = 710 of the chikoos 

Lemons : Chikoos
35 : 10 _(÷5)
7 : 2

The total number of lemons and chikoos is repeated.  Make the total number of lemons and chikoos the same.  LCM of 9 and 3 is 9.

Number of more persimmons than chikoos
= 6 u - 2 u
= 4 u

4 u = 40

1 u = 40 ÷ 4 = 10

Number of the fruits in the box altogether
= 7 u + 2 u + 6 u
= 15 u
= 15 x 10
= 150

Answer(s): 150