Question : Rini has mixed two colours 'C1' and 'C2' in the ratio 2 : 3. If the rate of the colour 'C1' is INR 500 per unit and she is selling the mixture of the two colours at INR 650 per unit at a breakeven price, then what is the rate (in INR) per unit of the second colour, that is, 'C2'?
Option 1: INR 750
Option 2: INR 725
Option 3: INR 760
Option 4: INR 765
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Correct Answer: INR 750
Solution : Using the alligation diagram Given: C 1 : C 2 = 2 : 3 The rate of the colour C 1 = INR 500 Using alligation: $\frac{C_2 - 650}{650 - 500} = \frac{2}{3}$ C 2 = 750 Hence, the correct answer is INR 750.
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