The document contains several word problems involving ratios and proportions. Some examples include: - The ratio of boys to girls in a college originally being 5:3 and changing to 9:7 after boys and girls leave and join. - Salaries of two people originally being in a 4:3 ratio and changing to a 40:57 ratio after raises of differing amounts. - Incomes and expenditures of two people originally being in given ratios and calculating their total incomes if each saves a given amount. - Numbers of employees in different departments of a company with given ratios and percentages changing various values. The problems require setting up and solving equations to determine unknown values from the initial ratios and changes provided.

4. Pre-Assessment :
The ratio of boys and girls in a college is 5 : 3. If 50 boys leave the
college and 50 girls join the college, the ratio becomes 9 : 7.
The number of boys in the college is
(1)300 TCS’ 2021(2nd cycle)
(2) 400
(3) 500
(4) 600

5. An amount of Rs.950 is distributed among A,
B,&C in the ratio of 5:11:3,what is the
difference between the share of B and A.
(a) 300 (b) 340 (c) 500 (d) 700
The number of pupils of a is 55. The ratio of
the numbers male pupils to the number of
female pupils is
5 : 6. The numbers of female pupils is
(1) 11 (2) 25 (3) 30 (4) 35

6. Concept : Group bazi :

7. If a : b = 7 : 9 and b : c = 15 : 7, then what is a:b : c
Question

8. If a : b = 2 : 3 and b : c = 5 : 7, find the value of a : b : c ?
Question

9. If A : B = 3 : 4, B : C = 5 : 7 and C : D = 8 : 9 then A: B:C:D
is equal to.
Question

10. Q. If A : B = 2 : 3 and B : C = 4 : 5 and C : D = 6 : 7, then
find the value of A : B : C : D?
A. 15:24:30:35
B. 16:24:30:35
C. 17:24:30:35
D. 18:24:30:35
E. 17:23:30:35

11. If a : b =
2 1
:
9 3
, b : c =
2 5
:
7 14
and d : c =
7 3
:
10 5
then a : b : c : d is
Question

12. Question
If 2A = 3B = 4C, then A : B : C is :
Question
If 2A = 3B = 5C, what is A : B : C?

13. Question
If a : (b + c) = 1 : 3 and c : (a
+ b) = 5 : 7, then b : (a + c)
is equal to:
Question
If a : (b + c) = 4:5 and c : (a + b)
= 7 :11, then b : (a + c) is equal
to

14. The sum of three numbers is 105. If the ratio
of the first to second is 2 :3 and that of the
second to the third is4:5, then the second
number is?
The sum of three numbers is 98. If the
ratio of the first to second is 2 :3 and
that of the second to the third is 5: 8,
then the second number is?

15. The speed of three cars in the ratio 2:3:4. the ratio between
the times taken by these cars to travel the same distance is
Cocubes /Amcat-Wipro

16. The ratio of two numbers is 3:8 and their difference is 115.
The smaller of the two numbers is :
1)184 2)194 3)69 4)59

17. A sum of money is divided between
two person in the ratio 2 : 9 if the
share of one person is 21 less than the
other, find the sum ?
Q. Th price of a scooter and moped are
in the ratio of 11:7. If a scooter costs
Rs.4400 more than a moped, find the
price of the moped?

18. An amount of Rs 735 was divided between A, B and C. If each of them
Had received Rs 25 less, their share would have been in the ratio 1: 3: 2.
The money received by C was ? TCS NQT
(a) Rs 195 (b) Rs 200 (c) Rs 220 (d) Rs 245

19. Question
33,630 are divided among A, B and C in such a manner that the ratio of the amount
of A to that of B is 3 : 7 and the ratio of the amount of B to that of C is 6 : 5 The
amount of money received by B is
(1) 14,868 (2) 16,257 (3) 13,291 (4) 12,395
Campus Placement

20. Rs. 11550 has to be divided between X, Y and
Z such that X gets
4
5
of what Y gets and Y
gets
2
3
of what Z gets. How much more
does Z get over X (in Rs.)?
(1) 7200 (2) 1800
(3) 1170 (4) 2450
(SSC CGL Tier-II CBE (Exam.) 17.02.2018)
Question

21. Question:. A sum is divided among A, B, C and D such that the ratio of the shares of
A and B is 2:3, That of B and C is 1:2 and that of C and D is 3:4. If the difference
between the shares of A and D is ₹648, then the sum of the shares is:
A) ₹2052 B) ₹2160 C) ₹2484 D) ₹1944 TCS’ 2020(1nd cycle)

22. The ratio of the number of boys to that girls in a village is 3:2. If 30% boys
and 70% of girls appeared in an examination, the ratio of the number of
the number students appeared in the examination to that not appeared in
the same examination?
A. 23:27
B. 23:25
C. 21:25
D. 25:21
Cocubes Campus Placement

23. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed
respectively in their salaries, then what will be new ratio of their salaries?
A. 3 : 3 : 10
B. 10 : 11 : 20
C. 23 : 33 : 60
D. Cannot be determined
(1) TCS

24. Question:
If C1, C2, C3, C4, and C5 are five companies.
The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made
by C2, C4, and C5 are in the ratio 18 : 19 : 20.
If C5 has made a profit of Rs 19 crore more than C1, then the total profit (in Rs)
made by all five companies is : CAT 2017(1)slot
A) 438 crore
B) 435 crore
C) 348 crore
D) 345 crore
TCS Digital type

25. Pre-Assessment :
The ratio of boys and girls in a college is 5 : 3. If 50 boys leave the
college and50 girls join the college, the ratio becomes 9 : 7.
The number of boys in the college is
(1)300 TCS’ 2021(2nd cycle)
(2) 400
(3) 500
(4) 600

26. Raju and Lalitha originally had marbles in the ratio 4:9. Then Lalitha gave some
of her marbles to Raju. As a result, the ratio of the number of marbles with
Raju to that with Lalitha became 5:6. What fraction of her original number of
marbles was given by Lalitha to Raju?
CAT 2018[SLOT(1)]
a) 6/19
b) 7/33
c) 1/5
d) ¼
TCS Digital Type

28. Question
The fourth proportional to 0.12, 0.21, 8 is:
________
Question
What is the fourth proportional to 24, 120 and
22?
__________
Question
What is the fourth proportional to 189, 273
and 153?
__________
TCS 2021 12th sept

29. Question
The third proportional of 12 and 18 is
__________
Question
What is the third proportional to 10 and
20?
__________
Question
The third proportional to 0.8 and 0.2 is :
__________
TCS 12th Sep

30. If Rs. 782 be divided into three parts, proportional to : : , then the first part is:
A. Rs. 182
B. Rs. 190
C. Rs. 196
D. Rs. 204
Cocubes /Amcat/TCS Digital

31. Type : Paisa Paisa kyu krti h

32. Question:.
A bag contains Rs. 4100 in the form of Rs. 5, Rs. 2 and Rs. 1 coin.
The number of coins is in ratio 4: 6: 9. So, find the number of 1 Rs. coins.
(a) 40 (b) 50 (c) 900 (d) 70
Campus Placement

33. Question 13:
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30
in all, how many 5 p coins are there?
A. 50
B. 100
C. 150
D. 200
TCS 12th Sept

34. Question :
A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4,
amounting to Rs. 206. Find the number of coins of each type
respectively.
A. 360, 160, 200
B. 160, 360, 200
C. 200, 360,160
D. 200,160,300
Campus Placement

35. A bag contains one rupee, 50 paise and 25 paise coins in the ratio 2 : 3 :
5. Their total value is Rs. 114. The value of 50-paise coins is:
A. Rs. 24
B. Rs. 36
C. Rs. 48
D. Rs. 72
E. None of these

36. Income – Expenditure Based :

37. The income of A and B are in the ratio 2:3 and their expenditures
are in the ratio 1:2, If each saves Rs.24,000. find A's income.
A.Rs.24000 B. Rs.72000 C. Rs.19200 D.Rs.48000
Campus Placement

38. The incomes of Ram and Shyam are in the ratio 4 : 3 and their
expenditures are in the ratio 3: 2 If each saves Rs 2500, what are their
incomes?
1)10,000,7500
2) 12000,9000
3) 8000,6000
4) NOT

39. Q. Number of students in 3 classes are in ratio of 9:7:11, When 20
students are increased in each class then the ratio becomes 11:9:13.
Find the difference between initial number of students in class A &
final number of students in C.
(a) 20
(b) 10
(c) 30
(d) 40
(e) None of these
TCS NQT

40. Type : Concept of tawa fry ( Equation Balancing )

41. The incomes of A and B are in the ratio 3:2 and
their expenditures are in the ratio 5: 3. If each
saves Rs 2000, what is their income, what is their
income?
TCS

42. The incomes of A and B are in the ratio 3:2 and
their expenditures are in the ratio 5: 3. If each
saves Rs 2000, what is their income, what is their
income?

43. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is
increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit’s
salary after an increase ?
A. Rs. 17,000
B. Rs. 20,000
C. Rs. 25,500
D. Rs. 38,000
TCS 12th Sep

44. Two numbers are in the ratio 3:5. If 13 is subtracted from each,
the new number are in the ratio 10:21. If 15 is added to each of
the original numbers, then the ratio becomes:
A. 5:7
B. 23:33
C. 4:5
D. 24:35

45. Q. Two numbers are in the ratio 4 : 9. If both the numbers are increased
By 12 the ratio become 11 : 21. The sum of the original numbers is:
(a) 128
(b) 64
(c) 52
(d) 104
(e) None of these

46. Q4.*** Cross Product Method : The income of A and
B are in the ratio 5:3 and their expenses are in the
ratio 9:5. If both saves respectively Rs.13000 and
Rs.900, then find their income.
A. 4500, 2700 B. 4000, 2400 C. 5000, 3000 D. 1000,
600

47. The ratio of two numbers is 3:5.
If 39 is added to the first, and 14 is added to the
second ,then the ratio becomes 6:7. What will be
the ratio become if 11 is added to first number
and 6 is added to second number ?
a)5:9 b)2:3
c)3:2 d)9:5

48. The ratio of the expenditure of X, Y and Z are 16: 12: 9 respectively and
Their savings are 20%, 25% and 40% of their income. If the sum of their income is
Rs. 3060, find Y’s salary.
(a) Rs. 960 (b) Rs. 490 (c) Rs. 500 (d) Rs. 510

49. What is the duplicate ratio of 7 : 3 𝟑
Q. If 3A = 6B = 9C ; What is A : B: C ?
(a) 6 : 3 : 1 (b) 6 : 3 : 2 (c) 9 : 3 : 6 (d) 9 : 3 : 1 (e) 3 :15 :13

50. Read the data carefully and answer the following questions.
Maruti Suzuki has 3 departments namely Production, HR and Quality. Each department has both
male and female employees. Male in HR are 50% more than female in Quality. Ratio of females in
Production to females in Quality is 5 : 6. Male and female employees in Quality are 5600 and 4800
resp. Females in production are 37.5% less than male employees in Production. Females in HR are
4000 less than the males in same department.
Q10. Total employees in Quality
and HR together are how many
more/less than total male employee
in all departments together?
(a)1220 (b)1600 (c)1348
(d)1200 (e)1560

51. Read the data carefully and answer the following questions.
Maruti Suzuki has 3 departments namely Production, HR and Quality. Each department has both
male and female employees. Male in HR are 50% more than female in Quality. Ratio of females
in Production to females in Quality is 5 : 6. Male and female employees in Quality are 5600 and
4800 resp.
Females in production are 37.5% less than male employees in Production. Females in HR are
4000 less than the males in same department.
What is the total number of
employees work in Maruti Suzuki?
(a)31200 (b)35200 (c)28200
(d)30000 (e)31000

52. Read the data carefully and answer the following questions.
Maruti Suzuki has 3 departments namely Production, HR and Quality. Each department has
both male and female employees. Male in HR are 50% more than female in Quality. Ratio of
females in Production to females in Quality is 5 : 6. Male and female employees in Quality are
5600 and 4800 resp.
Females in production are 37.5% less than male employees in Production. Females in HR are 4000
less than the males in same department.
Total male employees in Quality
and Production together are what
percent more than total female
employees in HR and Quality
together?
(a)50% (b)80%
(c)100% (d)120%
(e)150%

53. Read the data carefully and answer the following questions.
Maruti Suzuki has 3 departments namely Production, HR and Quality. Each department has both
male and female employees. Male in HR are 50% more than female in Quality. Ratio of females in
Production to females in Quality is 5 : 6. Male and female employees in Quality are 5600 and 4800
resp.
Females in production are 37.5% less than male employees in Production. Females in HR are 4000
less than the males in same department.
Total male employees in Quality and
Production together are what percent
more than total female employees in
HR and Quality together?
(a)50% (b)80% (c)100%
(d)120% (e)150%

54. Seats for Mathematics, Physics and Biology in a
school are in the ratio 5 : 7 : 8. There is a proposal
to increase these seats by 40%, 50% and 75%
respectively. What will be the ratio of increased
seats?
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the
number of boys and girls be 20% and 10% respectively, what will be the new ratio?
A. 8 : 9
B. 17 : 18
C. 21 : 22
D. Cannot be determined
A. 2 : 3 : 4
B. 6 : 7 : 8
C. 6 : 8 : 9
D. None of these