### The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

A. Rs. 18 B. Rs. 18.50 C. Rs. 19 D. Rs. 19.50 Answer: Option A

### Solution(By Apex Team)

Let the price of the mixed variety be Rs. x per kg. By rule of alligation, we have: $\begin{array}{l}\therefore\Large\frac{20-x}{x-15}=\frac{2}{3}\\ \Rightarrow60-3x=2x-30\\ \Rightarrow5x=90\\ \Rightarrow x=18\end{array}$

## Related Questions On Alligation

A. 2 : 5
B. 3 : 5
C. 5 : 3
D. 5 : 2

### An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $\large\frac{1}{2} \mathrm{~kg}$
B. $\large\frac{1}{8} \mathrm{~kg}$
C. $\large\frac{3}{14} \mathrm{~kg}$
D. $\large\frac{7}{9} \mathrm{~kg}$

A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres