# Quantitative Aptitude: Ratio and Proportion Questions Set 12

1. In a mixture of 80 liters, the ratio of milks and water is 3:2 . How much water must be added to this mixture so that the ratio of milk and water becomes 3:4.
24
28
40
36
32
Option E
Total mixture =80 liters.
milk =80*3/5 =48
water =80*2/5 =32
Let, x liters of water is added.
48/32+x =3/4
32+x =64
x =64-32 =32 liters.

2. In a school the students of three classes are in the ratio of 2:3:5 . If 20 students are increased in every class the ratio of changes is 4:5:7. What is the total number of students in the three classes before the class increased .
200
100
250
300
400
Option B
Let students in three classes be
2x, 3x and 5x respectively.
According to the question ,
(2x+20):(3x+20):(5x+20) =4:5:7
2x+20/3x+20 =4/5
12x+80 =10x+100
2x=20
x=10
Total students =(2*10)+(3*10)+(5*10)
= 20+30+50 =100

3. If 16 cows cost as much as 8 bullocks, 10 bullocks cost as much as 5 horses and 3 horses cost as much as 4 camels. If the cost of one camel is rs.3300. Find the cost of one cow is,
2100
2200
2300
1100
1200
Option D
1 camel cost=3300
4 camel cost=13200
3 horses cost=13200
1 horses cost=4400
5 horses cost=22000
10 bullocks cost=22000
1 bullocks cost=2200
8 bullocks cost =17600
16 cows cost =17600
1 cows cost =1100

4. The ratio of the earning of A and B is 3:5. If the earning of a increased by one-forth and the earning of B decreased by one-forth, then find the new ratio of their earning ?
2:3
1:1
3:4
5:2
2:5
Option B
Let earning of A and B be 3x and 5x.
New ratio of their earning = 3x*5/4:5x*3/4 =1:1

5. A some of money is to be distributed among A,B,C,D in the proportion of 3:5:2:4 . If D gets 3000 more than C, then find total money which is distribute among all.
30000
21000
25000
28000
24000
Option B
Let the money is distributed among A,B,C and D be 3x,5x,2x and 4x respectively.
4x-2x =3000
2x =3000
x =1500
total amount of money distributed =3x+5x+2x+4x =14x
= 14*1500 =21000

6. The ratio of the number of boys and girls in a college is 7:9. If the percentage increase in the number of boys and girls be 20% and 30% respectively. The total number of boys and girls in college before increase is 1440, then find ratio of boys and girls in the college after increased.
28:39
38:43
25:28
35:28
30:37
Option A
ratio of boys and girls=7:9
total boys and girls=1440
boys=1440*7/16=630
girls=1440*9/16=810
the number of boys after increased=630*120/100=756
the number of girls after increased=810*130/100=1053
ratio of boys and girls after increased=756:1053=28:39

7. Salaries of Ram and Rohit are in the ratio of 4:5. If the salary of each is increased by rs.3000, the new ratio becomes 10:11. What is initial salary of Rohit.
2700
3000
4200
2500
3500
Option D
let salaries of Ram and Rohit be 4x and 5x
(4x+3000)/(5x+3000)=10/11
44x+33000=50x+30000
6x=3000
x=500
initial salary of Rohit=5x=5*500=2500

8. A contains a mixture of 56 liters of wine and water in the ratio of 3:4 . If 28 liter of mixture is taken and 8 liter of wine is added , then find the ratio of new mixture .
3:2
8:3
5:5
5:4
3:4
Option D
Ratio of wine and water =3:4
wine =56*3/7 =24
water =56*4/7 =32
28 liter of mixture taken out wine = 24-(28*3/7) =24-12 =12
water=32-(24*4/7) =32-16 =16
8 liters of wined is added then ,
new ratio of wine and water =(12+8):16 =20:16 =5:4

9. 48% of A is equal to 64% of B, then find the ratio of A and B ?
3:2
3:4
7:3
5:4
4:3
Option E
48% of A = 64% of B
A/B=64/48=4:3

10. The ratio of three numbers is 2:4:5 and sum of their squares is 1125. Find the sum of the numbers.
60
45
50
55
65
Option D
ratio of three numbers=2:4:5
let the numbers be 2x, 4x and 5x
sum of their squares=1125
4x^2+16x^2+25x^2=1125
45x^2=1125
x^2=25
x=5
the sum of the numbers=2x+4x+5x=11x=11*5=55