A 50-litre mixture of paint is made of green, blue, and red colours in the ratio 5:3:2. If another 10 litres of red colour is added to the mixture, what will be the new ratio?

Correct option is D

Given:
1. Total mixture = 50 litres.
2. Original ratio of green:blue:red = 5:3:2.
3. Additional red colour = 10 litres.
Solution:
Step 1: Calculate the original quantities of each colour
Since the total volume of the mixture is 50 litres and the ratio is 5:3:2:
· Green = (5/10) × 50 = 25 litres.
· Blue = (3/10) × 50 = 15 litres.
· Red = (2/10) × 50 = 10 litres.
Step 2: Add 10 litres of red
After adding 10 litres of red, the new quantities are:
· Green = 25 litres.
· Blue = 15 litres.
· Red = 10 + 10 = 20 litres.
Step 3: Find the new ratio
The new ratio of green:blue:red is: Green = 25, Blue = 15, Red = 20.
To simplify:
· Divide each quantity by the greatest common divisor (GCD), which is 5.
· Green = 25 ÷ 5 = 5.
· Blue = 15 ÷ 5 = 3.
· Red = 20 ÷ 5 = 4.
The new ratio is 5:3:4.
Conclusion:
The new ratio of green, blue, and red is 5:3:4.
Answer: d. 5:3:4