Correct Answer - Option 3 : 57
Given:
The ratio of distribution among friends = (1/3) : (1/4) : (1/5) : (1/6)
Concept used:
In order to convert fractional ratio into whole number ratio, multiply each term with LCM of denominators
Calculation:
We first convert the fraction ratio into whole number ratio
Since, LCM of denominators 3, 4, 5, 6 is 60, we multiply the ratio by 60.
On rearranging, the ratio = (60/3) : (60/4) : (60/5) : (60/6) = 20 : 15 : 12 : 10
Considering that chocolate is distributed in whole number, the minimum number of chocolates can be when the common ratio is 1.
⇒ The minimum number of chocolates = 20 + 15 + 12 + 10 = 57
∴ The minimum number of chocolates the boy should have, in order to do this distribution is 57.