In a colored picture of blue and yellow color, blue and yellow color is used in the ratio of 4 : 3 respectively. If in the upper half, half blue : yellow is 2 : 3, then in the lower half blue : yellow is =?
Correct Answer: 26 : 9
Given, blue and yellow color ratio = 4 : 3 and half part blue and yello ratio = 2 : 3
![Ratio mcq solution image Ratio mcq solution image](/images/solution-image/arithmetic-ability/ratio/1565263148-blue-and-yellow-color-is-used-in-the-ratio-of-4-3.png)
Let 700 be the painting part in total
∴ Blue part will be: $$\frac{{\text{4}}}{7} \times 700$$ = 400
And yellow will be: $$\frac{{\text{3}}}{7} \times 700$$ = 300
Now, upper half part i.e $$\frac{{700}}{2}$$ = 350
Blue in upper half part → $$\frac{{\text{2}}}{5} \times 350$$ = 140
And, Yellow in upper half part → $$\frac{{\text{3}}}{5} \times 350$$ = 210
Remaining half Blue in lower part → 400 - 140 = 260
Remaining half yellow in lower part → 300 - 90 = 210
Ratio of blue and yellow → 260 : 90
⇒ 26 : 9
![Ratio mcq solution image Ratio mcq solution image](/images/solution-image/arithmetic-ability/ratio/1565263148-blue-and-yellow-color-is-used-in-the-ratio-of-4-3.png)
Let 700 be the painting part in total
∴ Blue part will be: $$\frac{{\text{4}}}{7} \times 700$$ = 400
And yellow will be: $$\frac{{\text{3}}}{7} \times 700$$ = 300
Now, upper half part i.e $$\frac{{700}}{2}$$ = 350
Blue in upper half part → $$\frac{{\text{2}}}{5} \times 350$$ = 140
And, Yellow in upper half part → $$\frac{{\text{3}}}{5} \times 350$$ = 210
Remaining half Blue in lower part → 400 - 140 = 260
Remaining half yellow in lower part → 300 - 90 = 210
Ratio of blue and yellow → 260 : 90
⇒ 26 : 9