A pole is 9030 cm long. It is colored saffron, white and green in the ratio of 6:7:8. Find the length of the green part of the pole.

Correct option is A

Given:

Length of the pole = 9030 cm
Ratio of saffron, white, and green parts = 6:7:8

Concept Used:

The total ratio = Sum of the ratios = 6 + 7 + 8 = 21 parts
The length of each part = $$\frac{\text{Total length of the pole}}{\text{Total ratio}}$$​​
Length of the green part = Length of each part × Ratio of the green part

Solution:

Total ratio = 6 + 7 + 8 = 21
Length of each part = $$\frac{9030 \text{ cm}}{21} = 430 \text{ cm}$$​​

Length of the green part = 430 cm × 8 = 3440 cm
Therefore, the length of the green part of the pole is 3440 cm.