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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