# CAT Practice : Averages, Ratios, Mixtures

When we mix two mixtures in a particular ratio, we get a third mixture. Given the third mixture how does one find the ratio in which they were mixed.

## Alligation

Q.25: 6 kg of Rs 8/kg wheat is mixed with 3 kg of another type of wheat to get a mixture costing Rs 10/kg. Find the price of the costlier wheat.
1. Rs 12/kg
2. Rs 14/kg
3. Rs 16/kg
4. Rs 6/kg

Choice B. Rs 14/kg

## Detailed Solution

Remember price will be in top of the cross, quantity will be in bottom of the cross and the final average in the middle.
Therefore, $\frac{(x-10)}{2} = \frac{6}{3}$
= ) 3x – 30 = 12
= ) x = $\frac{42}{3}$ = 14

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