Correct Answer - Option 3 : 100
Given:
The ratio of chocolates of A, B and C is 3 : 2 : 5.
A takes 10 chocolates from B.
A takes 20 chocolates from C.
The ratio of the chocolates of B and C becomes 1 : 3.
Concept Used:
Remaining chocolates = Initial chocolates - Given chocolates to other
Calculation:
Let the number of chocolates of A, B and C be 3x, 2x and 5x.
A takes 10 chocolates from B.
The remaining chocolates to B = 2x - 10
A takes 20 chocolates from C.
The remaining chocolates to C = 5x - 20
The ratio of the chocolates of B and C is 1 : 3.
⇒ (2x - 10)/(5x - 20) = 1/3
⇒ 6x - 30 = 5x - 20
⇒ x = 10
The total number of chocolates = (3x + 2x + 5x) = 10x = 10 × 10 = 100
∴ The total number of chocolates is 100.
