**Ratio and proportion problems with solutions in pdf for exams-:**

Every bank exam contains 2-4 questions from Ratio and proportion section. This is

comparatively easy section to score mark. Here we are sharing MOST important

**question** .

**Download PDF ratio and proportion problems(link given below post)**

# Solved aptitude papers on âRatio and proportion aptitude This is an one of the

âImportant Aptitude Topicâ..

**Â RATIO And PROPORTION QUESTIONS And ANSWERS Â for ibps clerk-:**

1. In a school, 10% of the boys are same in number as 1/5th of the girls. What is

the ratio of boys to girls in

that school?

(a) 1:2 (b) 3:4 (c) 3:2 (d) 2:1 (e) NOT

2. A sum of money is distributed among A, B and C such that A get double of C

and B get average of A and

B. find the ratio in which the money is distributed?

(a) 1:1:7 (b) 2:2:1 (c) 1:1:2 (d) 1:2:3 (e) NOT

3. Divide 27 into two parts so that 5 time the first and 11 times the second together

equal to 195. Then ratio

of the first and second part is:

(a) 10:17 (b) 17:10 (c) 10:13 (d) 1:2 (e) 5:7

4. The speed of a boat in still water is 500% more than the speed of the current.

What is the respective ratio

between the speed of boat downstream and speed of boat upstream?

(a) 4:9 (b) 5:7 (c) 5:6 (d) 11:2 (e) 7:5

5. In a class of 75 students, one-fifth of the total number of girls and three- fifth of

total number of boys join

a cricket club. If the total number of boys joining the club is 27. What is the

respective ratio of the total

number of boys to the total number of girls joining the club?

(a) 9:4 (b) 9:2 (c) 2:27 (d) 5:2 (e) NOT

6. In a class of 125, 20% students can dance. 2/5 of the total students can sing and

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2/5 of the remaining

students are good at sports. What is the respective ratio of students who can dance

to students who are good

at sport?

(a) 3:4 (b) 9:8 (c) 5:2 (d) 1:8 (e) 5:4

7. The respective ratio of the number of boys to girls studying in school is 25:29.

The total number of

students studying in the school is 270. If 15 boys and 15 girls take admission in the

school. What will be the

new respective ratio of the boys and girls studying in the school?

(a) 2:1 (b) 7:8 (c) 5:8 (d) 2:7 (e) 12:7

8. Two numbers are in the ratio of 3:5.if 9 is subtracted from each then they

become 12:23. Find the

numbers?

(a) 23,46 (b) 33,55 (c) 32,16 (d) 13, 28 (e) 14,28

9. The income of A, B and C are in the ratio of 7:9:12 and their spending are in the

ratio 8:9:15. If A saves

1/4th of his income, then the saving of A, B and C are in the ratio of :

(a) 1:2:3 (b) 3:4:7 (c) 7:9:2 (d)data inadequate (e)NOT

10. The ratio of the number of boys and girls in a college is 5:6. If the percentage

increase in the number of

boys and girls are 25% and 30 % respectively, then find the new ratio?

(a) 120:131 (b) 125:156 (c) 123:121 (d) cannot be determined (e) NOT

11. In a bag, there are coins of 25p, 10p and 5p in the ratio of 1:2:3. If there is Rs.

30 in all, how many

5p coins are there?

(a) 750 (b) 100 (c) 150 (d) 200 (e) 450

12. Seats for mathematics, physics and English in a school are in the ratio 6:7:9.

There is proposal to

increase these seats by 40%, 30% and 60% respectively. What will be the ratio of

increased seats?

(a) 13:45:34 (b) 13:34:45 (c) 84:91:144 (d) 15:26:31 (e) NOT

13. An amount of Rs. 2430 is divided among P, Q and R such that if their shares be

reduced by Rs. 5, Rs. 10

and Rs. 15 respectively the remainders will be in the ratio of 3:4:5. Then Qâs share

was:

(a) 200 (b) 800 (c) 450 (d) 1200 (e) 1000

14. The ratio of the incomes of A and B is 5:4 and the ratio of their expenditure is

3:2. If at the end of the

year, each saves 1600, then the income of B is :

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(a) 1600 (b) 2400 (c) 3200 (d) 2000 (e) NOT

15. The side of triangles are in the ratio Â˝:1/3:1/4 and its perimeter is 104 cm. the

length of the longest side

is:

(a) 32 cm (b) 20 cm (c) 54 cm (d) 56 cm (e) 48 cm.

SOLUTIONÂ

1. (d)

10% of boys = 1/5 of girls

Boys/girls = 1/5: 1/10/100 = 2:1

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2.(b)

According to the question,

A= 2C and B =A+B/2,

A: B: C = A: A: A/2 = 1:1:1/2 = 2:2:1.

3.(b)

Let the first number be 27-x and second number be x,

5(27-x) +11x = 195,

Then x = 10, so the ratio is 17/10.

4.(e)

Let speed of boat in still water is u and speed of current is v

Then u =6v

Ratio= speed of downstream: speed of upstream = u+v: u-v = 7:5

5.(b)

Given, 3/5 of total boys joined the club = 27, so total boys = 45,

Total girls = 75-45 = 30,

Girls joining club = 1/5 * 30 = 6.

Ratio is = 27/6 = 9/2.

6.(e)

6

Ratio is = 5/4.

7.(b)

Boys/girls = 25/29, boys + girls = 270,

Then girls = 145 and boys = 125,

After admission of 15 boys and 5 girls new ratio = 140/160 = 7/8.

8.(b)

Let the numbers be x and y,

Then numbers are 33, 55.

9.(e)

Income of A, B & C are in ratio of 7:9:12 and their spending in the ratio of 8:9:15.

For A, 7x- 8y =7/4x, then x= 32y/21, savings of A, B & C is 7/4x: 9(x-y): 12x-15y

On putting the value of x = 32y/21 in the ratio we get ratio as 56:99:69.

10.(b)

The new ratio between boys and girls are

11.(c)

Let the total number of coins be x. then,

60x/100 = Rs. 30

Then x= 50,

5p coins = 3*50 = 150.

12.(c)

The new ratio is = 6 * 140/100: 7* 130/100: 9 * 160/100= 84:91:144.

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13.(b)

Total reduced amount = 2430 â (5+10+15) = 2400.

Qâs share =

14.(c)

Let the income be x and expenditure be y,

Then, 5x-3y = 1600

And 4x- 2y = 1600

On solving both equation, we get x = 800, income of B = 4x = 3200.

15.(e)

Let the side of triangle be a, b, and c so a+b+c = 104cm,

Also a: b: c = Â˝:1/3:1/4.

x/2 +x/3 + x/4 = 104 cm

x = 96

Longest side is x/2 = 48 cm.