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 “Ratio and proportion aptitude This is an one of the
“Important Aptitude Topic“..

 RATIO And PROPORTION QUESTIONS And ANSWERS  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
Bankersway.com Page 3
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 Q‘s 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 :
Bankersway.com Page 4
(a) 1600 (b) 2400 (c) 3200 (d) 2000 (e) NOT
15. The side of triangles are in the ratio ½:1/3:1/4 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.

SOLUTION 
1. (d)
10% of boys = 1/5 of girls
Boys/girls = 1/5: 1/10/100 = 2:1
Bankersway.com Page 8
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.
Bankersway.com Page 9
13.(b)
Total reduced amount = 2430 – (5+10+15) = 2400.
Q‘s 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 = ½:1/3:1/4.
x/2 +x/3 + x/4 = 104 cm
x = 96
Longest side is x/2 = 48 cm.

Click Here For Download Ratio and proportion Question in pdf