Correct Answer - Option 3 : 13 ∶ 33 ∶ 65
Given:
A mixture of sugar, Rice and wheat in the ratio of 2 ∶ 3 ∶ 4 by volume.
One cubic foot of sugar = 52 kg
One cubic foot of rice = 88 kg
One cubic foot of wheat = 130 kg
Concept used:
Ratio method is used.
Calculation:
Let the volume of sugar, Rice and Wheat be 2x, 3x and 4x cubic foot.
2x cubic foot of sugar = 2x × 52 kg
3x cubic foot of rice = 3x × 88 kg
4x cubic foot of wheat = 4x × 130 kg
The ratio of sugar, rice, and wheat by weight = (2x × 52) ∶ ( 3x × 88) ∶ ( 4x × 130)
⇒ the required ratio = 13 ∶ 33 ∶ 65
∴ The ratio of sugar, rice, and wheat by weight 13 ∶ 33 ∶ 65.