- 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.
2428403632Option 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 .
200100250300400Option 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,
21002200230011001200Option 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 - 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 ?
2:31:13:45:22:5Option 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.
3000021000250002800024000Option 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.
28:3938:4325:2835:2830:37Option 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.
27003000420025003500Option 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 .
3:28:35:55:43:4Option 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 ?
3:23:47:35:44:3Option 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.
6045505565Option 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