Question : In a coloured picture of blue and yellow colours, blue and yellow colours are used in the ratio of 4 : 3, respectively. If in the upper half, blue : yellow is 2 : 3, then in the lower half, blue : yellow is:
Option 1: $1:1$
Option 2: $2:1$
Option 3: $26:9$
Option 4: $9:26$
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Correct Answer: $26:9$
Solution :
Given: Ratio of blue and yellow colours = 4 : 3
In the upper half, blue : yellow = 2 : 3
Let the total quantity of blue and yellow be 70 units.
The ratio of blue and yellow colours = 40 : 30
Upper half = lower half = 35 units
Quantity of blue in upper half part = 35 × $\frac{2}{5}$ = 14 units
Quantity of yellow in upper half part = 35 × $\frac{3}{5}$ = 21 units
Quantity of blue in lower half part = (40 – 14) = 26 units
Quantity of yellow in lower half part = (30 – 21) = 9 units
So, the ratio of blue and yellow in the lower half = 26 : 9
Hence, the correct answer is 26 : 9.
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