# Alligation or Mixture - Aptitude Questions and Answers Part 2

6. The drink for children has juice and water in the ratio 5:2 while the drink for adults has them in ratio 7:4. If both the mixes are poured in a jug, find the final ratio of water to juice in the jug.

a. 8:35
b. 25:52
c. 35:8
d. 52:25

Explanation:

Children's drink → Juice : Water = 5:2 → Total 5+2 = 7 parts of liquid
Adult's drink → Juice : Water = 7:4  → Total 7+4 = 11 parts of liquid

 Jug juice = Juice from children's mix + Juice from adult's mix = 5 + 7 = 104 7 11 77
 Jug Water = Water from children's mix + Water from adult's mix = 2 + 4 = 50 7 11 77
 Water to Juice ratio in Jug = 50 : 104 = 25:52 77 77

7. A body massage oil mix contains 60 litres of Oil A with some litres of Oil B. The rate of Oil A is Rs. 32 per litre while the rate of Oil B is 9 Rs/litre less than Oil A. A shopkeeper sells this oil mix at Rs. 28/ litre. How much Oil B should be mixed in the mixture to ensure that there is no profit, no loss in the whole process?

a. 24 litres
b. 36 litres
c. 48 litres
d. 50 litres

Explanation:

Let Oil B quantity be B litres.
Final mixture has '60+B' litres
There is no profit no loss
So, (Oil 1 quantity * rate) + (Oil 2 quantity * rate) = Mix quantity * rate
Oil B is 9 Rs/- cheap. So, the rate of Oil B per litre = 23 Rs/litre
∴ 60 x 32 + B x 23 = (60+B) x 28
∴ B = 48 litres = Oil B quantity

8. Three vessels contain a milk mixture 30 litre each. When put in a big vessel, they result into a mixture of milk and water in the ratio 2:1. If the ratio is to be reversed to make it 1: 2, how much more water should be added to the mix?

a. 20L
b. 40L
c. 90L
d. 100L

Explanation:

3 vessels of 30 litres each = 3 X 30 = 90 ml milk mixture

 Amount of milk in mixture = 2 x 90 = 60L 2+1
Amount of water = 90-60 = 30L
To make milk to water ratio 1:2, we simply need to make water double of milk.
By direct observation, we can say that we should have 60L x 2 = 120L water to make the required ratio
We already have 30L, we need (120-30) = 90L more water

9. 3 varieties of wheat were mixed at a warehouse. The rate of Type 1 wheat was Rs. 145/ Kg and rate of Type 2 wheat was Rs. 20 per kg more than Type 1. The quantities of 3 varieties of wheat were in the ratio 2:1:3 respectively. The mix was finally sold at the rate of Rs. 180 per kg. Find the price of 3rd type of wheat?

a. Rs. 196.58
b. Rs. 208.33
c. Rs. 210
d. Rs. 215.67

Explanation:

Let the rate of 3rd type of wheat be Rs. W
Quantity ratio = 2 : 1 : 3
This means if we take 2kg of Type 1 and 1 kg of Type 2, then we must take 3kg of Type 3.
Also, the mix will have 2kg + 1kg + 3kg = 6 kg quantity.
∴ (145 x 2) + (165 x 1) + (3 x W) = 6 x 180
∴ W = Rs. 208.33 per kg = 3rd type price per kg

10. A vessel carries a mixture of milk and water in the ration of 7:2. The milkman further wants to dilute this 729 L of mixture and make it in the ratio 7:3. How much water should he add to the mix?

a. 72.9 Litres
b. 75 Litres
c. 80 Litres
d. 81 Litres