### Two types of tea costing Rs. 180/kg and Rs. 280/kg. In what ratio should these be mixed so that obtained mixture sold at Rs. 320/kg to earn a profit of 20% is ?

A. 3 : 13 B. 4 : 13 C. 1 : 13 D. 2 : 13 Answer: Option D

### Solution(By Apex Team)

According to the question, Selling price of the mixture = Rs. 320, Gain = 20% ∴ Cost price of the mixture \begin{aligned}&=320\times\frac{100}{120}\\ &=\text{ Rs. }\frac{800}{3}\end{aligned} Now using alligation method $\begin{array}{l}\text{ Ratio of quantity }\\ =\ 40:260\\ =\ 2:13\end{array}$

## 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