A box contains some chikoos, mangosteens and persimmons. 0.4 of the chikoos is equal to 60% of the mangosteens. The number of persimmons is ²₃ of the total number of mangosteens and chikoos. If there are 48 more persimmons than mangosteens, how many fruits are there in the box altogether?

Chikoos	Mangosteens	Persimmons
3x3	2x3
3x5		2x5
9 u	6 u	10 u

0.4 = ⁴₁₀= ²₅
60% = ⁶⁰₁₀₀ = ³₅

0.4 of the chikoos is equal to 60% of the mangosteens. Make the numerators the same.  LCM of 2 and 3 is 6.

2x35x3 of the chikoos = 3x25x2 of the mangosteens
615 of the chikoos = 610 of the mangosteens 

Chikoos : Mangosteens
15 : 10 _(÷5)
3 : 2

The total number of chikoos and mangosteens is repeated.  Make the total number of chikoos and mangosteens the same.  LCM of 5 and 3 is 15.

Number of more persimmons than mangosteens
= 10 u - 6 u
= 4 u

4 u = 48

1 u = 48 ÷ 4 = 12

Number of the fruits in the box altogether
= 9 u + 6 u + 10 u
= 25 u
= 25 x 12
= 300

Answer(s): 300