### The ratio, in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. 150 per kg so that the mixed tea when sold for Rs. 194.40 per kg, gives a profit of 20%.

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

### Solution(By Apex Team)

CP of first tea = Rs. 192 per kg. CP of Second tea = Rs. 150 per kg. Mixture is to be sold in Rs. 194.40 per kg, which has included 20% profit. So, SP of Mixture = Rs. 194.40 per kg. Let the CP of Mixture be Rs. X per kg. Therefore, X + 20% of X = SP $\Large\frac{6 \mathrm{X}}{5}$ = 194.40 6X = 194.40 *5 X = Rs. 162 per kg. Let N kg of first tea and M kg of second tea to be added. Now, Using Alligation, We get, $\begin{array}{l} \Large\frac{\mathrm{N}}{\mathrm{M}}=\frac{12}{30} \\ \mathrm{~N}: \mathrm{M}=2: 5 \end{array}$

## 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