Question

Three types of sugar are mixed together. Their volumes are in the ratio 3 : 5 : 7 and the weight of equal volumes is in the ratio 4 : 2 : 3. What is the weight of the sugar of the first type if the weight of the mixture is 387 kg?
1. 120 kg
2. 108 kg
3. 132 kg
4. 96 kg
5. 144 kg

Answer 1

Correct Answer - Option 2 : 108 kg

Given:

Volume ratio = 3 : 5 : 7

Weight ratio of equal volume = 4 : 2 : 3

Total mixture = 387 kg

Calculation:

Weight ratio = (3 × 4) : (5 × 2) : (7 × 3)

⇒ 12 : 10 : 21

Total weight = 43 ratio

Required weight = 387/43 × 12 = 108 kg

∴ The answer is 108 kg