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.
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
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,
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
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
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
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
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
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
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
