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Ratio and Proportion
1. What is third proportion of 18 and 24?
A) 30
B) 21
C) 32
D) 24
E) None of these
2. Find the mean proportion of 32 and 72.
A) 48
B) 36
C) 52
D) 28
E) None of these
3. There are 846 students in a school. If the
number of boys in the school is 468, then
what is the respective ratio of the total number of boys to the total number of girls in the
school?
A) 42 : 47
B) 21 : 26
C) 21 : 31
D) 23 : 26
E) None of these
5 of a property is Rs.30000, then how
4. If ⎯
8
3
much ⎯
5 will be?
A) Rs.27500
B) Rs.28800
C) Rs.25650
D) Rs.28950
E) None of these
5. 36 percent of first number is 48 percent of
A) Rs.2400
B) Rs.2250
C) Rs.2850
D) Rs.2500
E) None of these
8. Two numbers are in the ratio of 11:13. If 12
is subtracted from each, the remainders are
in the ratio of 7 : 9. Find the First number.
A) 39
B) 33
C) 11
D) 24
E) None of these
9. A sum of Rs.3420 has been divided to A, B
and C such that 4 times of A, 6 times of B
and 9 times of C are equal. Find the share
of B.
A) Rs.720
B) Rs.1620
C) Rs.1080
D) Rs.1440
E) None of these
10. A, B and C divide an amount of Rs. 4200
amongst themselves in the ratio of 7:8:6
respectively. If an amount of Rs. 200 is
added to each of their shares, what will be
the new respective ratio of their shares of
amount?
A) 12
B) 16
C) 18
D) 24
E) None of these
12. The sum of the
salaries of A and B
are Rs.8400. A
spends 80% of his
salary
and
B
spends 70%. If
their savings are now in the ratio of 4:3,
what is the salary of A?
A) Rs.2800
B) Rs.2100
C) Rs.5600
D) Rs.1800
E) None of these
13. A bag contains of one rupee, 50 paise and
25 paise coins. If these coins are in the ratio
of 2:3:10, and the total amount of coins is
Rs.288, find the number of 25 paise coins
in the bag.
A) 96
B) 144
C) 480
D) 72
E) None of these
Find the First Number!
the second number. What is the respective
ratio of the first number to the second number?
A) 3 : 5
B) 4 : 3 C) 5 : 4
D) Can't be determined E) None of these
6. The average age of a man and his son is 42
years. The ratio of their ages is 16 : 5. What
will be the ratio of their ages after 4 years?
A) 17 : 9
B) 15 : 13
C) 4 : 3
D) 17 : 6
E) None of these
7. A sum of money is divided among A, B and
C in the ratio of 8 : 5 : 11 respectively. If the
share of C is Rs.1375, then what is the total
amount of money?
Explanations
b2
1. Third proportion = ⎯
a
here, a = 18 and b = 24
242
576
⇒ ⎯ = ⎯ = 32
18
18
2. Mean proportion = √⎯
ab
here, a = 32 and b = 72
⎯⎯⎯⎯ ⎯⎯⎯⎯
⇒ √ 32 × 72 = √ 16 × 144 = 4 ×12 = 48
3. Total number of students = 846
Number of boys = 468
∴ Number of girls = 846 − 468 = 378
Ratio between boys and girls = 468 : 378
= 26 : 21
3 property be Rs.x
4. Let ⎯
5
5 : 3 :: 30000 : x
∴ ⎯
⎯
8
5
8 = Rs. 28800
3 ×⎯
⇒ x = 30000 × ⎯
5
5
5. Let the numbers be x and y.
36% of x = 48% of y
x
48
4
⇒ ⎯
= ⎯
y =⎯
36
3
∴x:y=4:3
6. Average age = 42 years
Total age = 2 × 42 = 84 years
16
Man's age = ⎯⎯ × 84 = 64
16 + 5
Son's age = 84 − 64 = 20 years
Their ages after 4 years = 64 + 4 and
20 + 4 = 68 and 24 years
Try It!
A) 7 : 5 : 6
B) 7 : 8 : 5
G.S. GIRIDHAR
C) 4 : 8 : 6
D) 8 : 9 : 7
E) None of these
11. In an office the ratio between the number of
ladies and the number of gents was 1:2.
When 2 ladies and 2 gents left, the ratio
becomes 1:3. How many employees were
originally there in the office?
∴ If 11 parts is Rs. 1375, then 24 parts is
24
⎯ × 1375 = Rs.3000
11
8. Let the numbers be 11x and 13x.
If 12 is subtracted from each, the numbers
become (11x − 12) and (13x − 12)
∴ (11x − 12) : (13x − 12) = 7 : 9
(11x − 12) 9 = (13x − 12) 7
⇒x=3
First number is 11 × 3 = 33
9. 4 Parts of A = 6 Parts of B = 9 Parts of C = K
K K K
1
1 1
∴A:B:C= ⎯:⎯:⎯= ⎯: ⎯:⎯
4 6 9
4
6 9
LCM of 4, 6 and 9 is 36
36 36
36
∴ Ratio = ⎯ : ⎯ : ⎯ = 9 : 6 : 4
4
6
9
6
∴ B's share = ⎯⎯⎯ × 3420
9+6+4
6
⇒ ⎯ × 3420 = Rs. 1080
19
10. Total shares = 7 + 8 + 6 = 21
∴ 21 parts = 4200
4200
Each part = ⎯⎯ = 200
21
∴ Their shares are 7 × 200, 8 × 200 and
6 × 200
⇒ 1400, 1600 and 1200
If 200 is added to each of them then their
shares will be 1600, 1800 and 1400
∴ New ratio = 1600 : 1800 : 1400 = 8 : 9 : 7
11. Let the number of ladies be x.
number of gents = 2x
∴ (x − 2) : (2x − 2) = 1 : 3
⇒ 3(x − 2) = 1(2x − 2) ⇒ x = 4.
Total number of employees = x + 2x
= 3x = 3 × 4 = 12
12. A's savings = (100% − 80%) = 20%
B's savings = (100% − 70%) = 30%
20% of A's Salary
4
∴ ⎯⎯⎯⎯ = ⎯
30% of B's Salary
3
A Salary
4
30
2
⇒ ⎯⎯ = ⎯ × ⎯⎯ = ⎯
B Salary
3
20
1
2
∴ A's Salary = ⎯⎯ × 8400 = Rs. 5600
2+1
13. Let the number of one rupee, 50 paise and
25 paise coins be 2, 3 and 10 respectively.
The value of one rupee coins = Rs.1 × 2
= Rs.2
The value of fifty paise coins = Rs.0.50 × 3
= Rs.1.50
The value of twenty five paise coins
= Rs.0.25 × 10 = Rs.2.50
Total value = 2 + 1.5 + 2.5 = Rs.6
If the total value is Rs.6, there are 3 coins of
50 paise and
If the total value is Rs.288, then the number
288
of 50 paise coins = ⎯⎯ × 3 = 144
6
14. LCM of 4, 5 and 6 is 60
60 60
60
∴ ratio = ⎯
: ⎯
: ⎯
= 15 : 12 : 10
4
5
6
10
∴ C's Share = ⎯⎯⎯⎯ × 1480
15 + 12 + 10
10
⇒ ⎯
× 1480 = Rs.400
37
15. Income = Number of persons × Rate
Income ratio = (1× 5) : (2 × 4) : (7 × 2)
= 5 : 8 : 14
5
∴ Income from A class = ⎯⎯⎯ × 54000
5 + 8 + 14
= Rs.10000
16. Let the shares of A, B, C and D be Rs.4x,
5x, 7x and 11x respectively.
given, C's shares as Rs. 27020
27020
∴ 7x = 27020 ⇒ x = ⎯⎯ = 3860
7
A share = 4 × 3860 = Rs. 15440
D share = 11 × 3860 = Rs. 42460
∴ Total share of A and D = 15440 + 42460
= Rs. 57900
17. Let the numbers be 2x and 7x
∴ 2x + 7x = 351 ⇒ x = 39
∴ Product of the numbers = 2x × 7x
= 14 × (x)2 = 14 × 392 = 21294
3 :1=3:8
18. A's Share : (B + C) Share = ⎯
8
3 × 3520 = Rs.960
A's Share = ⎯
11
IBPS Clerks Online Exams... Download papers with Answers
C) Rs.10000
D) Rs.18000
E) None of these
16. A sum of money is to be divided among A,
B, C and D in the ratio of 4 : 5 : 7 : 11
respectively. If the share of C is Rs. 27020,
then what is the total amount of money of A
and D together?
A) Rs.42460
B) Rs.46320
C) Rs.54200
D) Rs.57900
E) None of these
17. Two numbers are in the ratio 2:7. If the sum
of the number is 351, find the product of the
numbers.
A) 21294 B) 21544
C) 21484
D) 21274 E) None of these
18. Rs. 3520 has been divided among A, B and
3 as much as B and
C so that A receives ⎯
8
C together. What is the share of A?
A) Rs.630
B) Rs.1210
C) Rs.960
D) Rs.1920
E) None of these
KEY
1-C; 2-A; 3-E; 4-B; 5-B; 6-D; 7-E; 8-B;
9-C; 10-D; 11-A; 12-C; 13-B; 14-B; 15-C;
16-D; 17-A; 18-C.
(Writer - Director, RACE Institute, Hyderabad)
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∴ Ratio = 68 : 24 = 17 : 6
7. Let the shares of A, B and C be Rs. 8x, 5x
and 11x respectively.
C's share = Rs.1375
1375
∴ 11x = 1375 ⇒ x = ⎯⎯ = 125
11
∴ Total money = 24x = 24 × 125 = Rs.3000
Short cut: C's share is 11 parts and total share
is 24 parts
Numerical Ability
14. A sum of Rs.1480 has been distributed among A, B and C in the ratio
1
1
1
⎯ : ⎯ : ⎯ respectively. Find the
4
5
6
share of C.
A) Rs.600
B) Rs.400
C) Rs.700
D) Rs.800
E) None of these
15. In a cinema theatre, there are three
classes A, B and C. The audience in
these classes is 1:2:7 respectively
and the rate for each class is in the
ratio 5:4:2. If the total income for a
show is Rs.54000, find the income
from A Class.
A) Rs.16000
B) Rs.28000
1
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