A box contains some mangoes, lemons and chikoos. 0.2 of the mangoes is equal to 30% of the lemons. The number of chikoos is ³₄ of the total number of lemons and mangoes. If there are 42 more chikoos than lemons, how many fruits are there in the box altogether?

Mangoes	Lemons	Chikoos
3x4	2x4
4x5		3x5
12 u	8 u	15 u

0.2 = ²₁₀= ¹₅
30% = ³⁰₁₀₀ = ³₁₀

0.2 of the mangoes is equal to 30% of the lemons. Make the numerators the same.  LCM of 1 and 3 is 3.

1x35x3 of the mangoes = 3x110x1 of the lemons
315 of the mangoes = 310 of the lemons 

Mangoes : Lemons
15 : 10 _(÷5)
3 : 2

The total number of mangoes and lemons is repeated.  Make the total number of mangoes and lemons the same.  LCM of 5 and 4 is 20.

Number of more chikoos than lemons
= 15 u - 8 u
= 7 u

7 u = 42

1 u = 42 ÷ 7 = 6

Number of the fruits in the box altogether
= 12 u + 8 u + 15 u
= 35 u
= 35 x 6
= 210

Answer(s): 210