Question

The proportion of water and spirit in 3 samples is 3 : 1, 5 : 2, 2 : 3. A mixture comprising equal quantities of all 3 samples is made. The proportion of water and spirit in the mixture is?
1. 67 : 43
2. 67 : 35
3. 78 : 69
4. 87 : 53
5. 59 : 43

Answer 1

Correct Answer - Option 4 : 87 : 53

Given:

Water : spirit = 3 : 1, 5 : 2, 2 : 3

Calculation:

Making the sum of all ratios equal

3 : 1 × 7 × 5 = 105 : 35

5 : 2 × 4 × 5 = 100 : 40

2 : 3 × 4 × 7 = 56 : 84

Ratio in final solution = (105 + 100 + 56) : (35 : 40 : 84) = 87 : 53

∴ The answer is 87 : 53