# Quantitative Aptitude: Mixture and Alligation Set 16

1. In what ratio must tea at rs.36 per kg be mixed with tea at rs.40 per kg so that the mixture must be worth rs.37 per kg ?
2:1
5:2
2:3
3:1
2:2
Option D
let tea at rs.36 per kg mixed=x kg
and tea at rs.40 per kg mixed=y kg
(36x+40y)x+y=37
36x+40y=37x+37y
x=3y
x:y=3:1

2. A person has a chemical of rs.25 per liter. In what ratio should water be mixed in that chemical so that after selling the mixture at rs.20 per liter he may get a profit of 25% ?
15:12
16:9
5:4
8:4
4:5
Option B
CP of chemical =rs.25
CP of water=rs.0
SP of mixture=rs.20
CP of mixture=20*4/5=rs.16
ratio of chemical and water be mixed=0-16/16-25=16/9=16:9

3. A vessel contains 700 liters mixture of milk and water in the ratio 4:3 respectively. If 140 liters mixture from the vessel is completely replaced with milk, then find ratio of milk to water in the final mixture in the vessel.
12:25
23:12
13:28
23:15
12:23
Option B
total mixture=700
ratio of milk to water=4:3
milk=700*4/7=400
water=700*3/7=300
140 liter mixture is replace with milk
ratio=(400-140*4/7+140)/(300-140*3/7)=320+140/240=460/240=23:12

4. In a 88 liters of mixture the ratio of milk and water 7:4. If x liter of water is mixed in this mixture, so that ratio of water to milk 3:4. Find the value of x.
12
15
10
20
18
Option C
milk in the mixture =88*7/11=56
water in the mixture=88*4/11=32
x liter of water mixed
56/32+x=4/3
42=32+x
x=10 liter

5. Two vessels A & B contains mixture of milk and water in the ratio of 8:7 and 3:2 respectively. If ratio of quantity of mixture in vessels A and B 6:5 and both mixed together, then find ratio of milk to water in resulting mixture.
34:25
31:24
8:9
15:28
24:25
Option B
let total mixture in vessel A and B be 60x and 50x respectively
total milk in resulting mixture=60x*8/15+50x*3/5=32x+30x=62x
total water in resulting mixture=60x*7/15+50x*2/5=28x+20x=48x
ratio of milk and water=62x:48x=31:24

6. In a mixture of 45 liters, the ratio of chemical and water is 5:4. How much chemical must be added to make the ratio of 3:2 ?
8
6
10
5
12
Option D
chemical in the mixture=45*5/9=25
water in the mixture=45*4/9=20
let chemical added to the mixture=x
25+x/20=3/2
2x+50=60
x=5

7. Ratio between milk and water in a mixture is 5:2. When 15 liters of water is added in the mixture then ratio becomes 5:3. Find the initial quantity of mixture.
100
105
90
120
95
Option B
let milk in the mixture =5x
and water=2x
5x/2x+15=5/3
15x=10x+75
5x=75
x=15
initial mixture=7x=7*15=105 liters

8. Ratio between chemical and water in a 120 liters of mixture is 8:7. When 30 liters of mixture is taken out and 6 liter of water is added, then what will be the ratio between chemical and water in new mixture ?
2:1
5:4
3:4
3:1
1:1
Option E
milk in the mixture=120*8/15=64
water in the mixture=120*7/15=56
ATQ, ratio=(64-30*8/15)/(56-30*7/15+6)
=64-16/56-14+6=48/48
=1:1

9. In a vessel ratio of milk to water is 5:3. 40 liters of mixture is taken out and 20 liters of water is added so that quantity of milk in the new mixture is 10 liters more than that of water. Find initial quantity of the mixture.
180
160
150
170
120
Option B
let milk and water in the mixture be 5x and 3x respectively
5x-40*5/8-(3x-40*3/8)=10
5x-25-(3x-15+20)=10
5x-2x-3x-5=10
2x-30=10
2x=40
x=20
initial mixture=8x=8*20=160

10. Container A and B contains 400 liters of milk and 160 liters of water respectively. 40% of the milk and 40% of water is mixed together in a separate container. Find the ratio of milk to water in the mixture thus formed.
3:2
2:1
8:5
5:4
2:5
Option D
ratio milk to water=400*40/100:160*40/100=160:64=10:8=5:4