Ratio and Proportion

Ratio and Proportion Questions For Bank PO Prelims

Dear Aspirants, Our IBPS Guide team is providing new series of Quants Questions for IBPS PO Prelims 2023 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.

 

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1) Ratio of the monthly income of Amal and Vimal is 5:6 and the ratio of the expenditure of Amal and Vimal is 1:2. If the savings of Amal is Rs.13000 which is 52% of his income, then find the savings of Vimal?

A.Rs.6000

B.Rs.10000

C.Rs.9000

D.Rs.8000

E.Rs.7000


2) Ratio of the number of red to yellow balls in A is 7:4 and the number of red balls in B is 4 more than that of A and the number of yellow balls in B is 75% of the number of yellow balls in A. If the total number of balls in A and B together is 88, then find the number of yellow balls in A?

A.8

B.12

C.20

D.24

E.16


3) The number of boys in a class is 75% of the number of girls in the class. If 21 boys and 18 girls have joined the class, then the ratio of the number of boys and girls in the class becomes 4:5. Find the initial number of students in the class?

A.186

B.231

C.237

D.243

E.249


4) P, Q and R divided Rs. 11,700 among them in the ratio of 6 : 4 : 3 respectively. Now if P got Rs. 800 more, Q got Rs. 1600 more and R got Rs. 1500 more, then what will be the respective new ratio of dividing the total money among them?

A.21 : 26 : 13

B.25 : 17 : 33

C.13 : 15 : 18

D.31 : 26 : 21

E.None of these


5) A bag contains Rs. 2 coins, 50 paise coins and Rs. 1 coins in the ratio of 8 : 6 : 5 respectively. If the total value of money in the bag is Rs. 408, then find the total number of coins in the bag?

A.312

B.323

C.345

D.308

E.None of these


6) In a company, the number of male employees is 55% of the total number of employees in that company. If the ratio of the number of IT to HR employees in the company is 31:19 and the 60% of total male employees works in IT department, find the ratio of the number of male to female employees in HR department?

A.11:8

B.23:15

C.10:9

D.21:17

E.13:6


7) The ratio of the number of boys to girls in the class A is 3:2 and the ratio of the number of boys to girls in the class B is 4:5. If the ratio of the total number of students in class A to B is 5:9 and the difference between the number of students in class A and B is 16. What is the ratio of the number of boys in class A to number of girls in class B?

A.3:5

B.2:3

C.3:4

D.5:7

E.None of these


8) The number of male employees in a company is 60% more than the number of female employees. If the number of female employees is increased by 40% and the number of male employees is decreased by 25%, then now find the ratio of the number of male to female employees in the company?

A.3:4

B.5:6

C.5:4

D.6:7

E.8:9


9) Ratio of the number of boys in class A and B is 7:8 and the number of girls in class A is 25% more than the number of girls in B. If the total number of students in class A is 165 and the number of boys in class B is 72 more than the number of girls in B. Find the number of boys in A?

A.105

B.112

C.119

D.126

E.98


10) Ratio of the number of boys and girls in the class is 11:14. If 8 boys and 4 girls joined the class, then the ratio of the boys and girls becomes 15:16. Find the percentage increase in the strength of the class?

A.15%

B.18%

C.20%

D.22%

E.24%

 

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Answers :

1) Answer: A

Savings of Amal = Rs.13000

Expenditure of Amal = 48/52 * 13000 = Rs.12000

Income of Amal = 13000 + 12000 = Rs.25000

Expenditure of Vimal = 12000 * 2/1 = 24000

Income of Vimal = 25000 * 6/5 = Rs.30000

Savings of Vimal = 30000 – 24000 = Rs.6000


2) Answer: E

Red in A = 7x

Yellow in A = 4x

Red in B = 7x + 4

Yellow in B = 75/100 * 4x = 3x

7x + 4x + 7x + 4 + 3x = 88

21x = 84

x = 4

Number of yellow balls in A = 4 * 4 = 16


3) Answer: B

Number of girls = 4x

Number of boys = 75/100 * 4x = 3x

(3x + 21)/(4x + 18) = 4/5

16x + 72 = 15x + 105

x = 33

Total number of students = 7 * 33 = 231


4) Answer: D

Amount of money P have = 11,700 × 6/13 = Rs. 5400

Amount of money Q have = 11,700 × 4/13 = Rs. 3600

Amount of money R have = 11,700 × 3/13 = Rs. 2700

New amount of money with P after increase = 5400 + 800 = Rs. 6200

New amount of money with Q after increase = 3600 + 1600 = Rs. 5200

New amount of money with R after increase = 2700 + 1500 = Rs. 4200

So, the required new ratio is = 6200 : 5200 : 4200 = 31 : 26 : 21


5) Answer: B

Let the number of coins of Rs. 2 = 8x

And the number of coins of 50 paise = 6x

And the number of coins of Rs. 1 = 5x

So, value of Rs. 2 coins = 8x × 2 = 16x

And the value of 50 paise coins = 6x × 0.50 = 3x

And the value of Rs. 1 coins = 5x × 1 = Rs. 5x

So, according to the question,

16x + 3x + 5x = 408

24x = 408

x = 17

This, the total number of coins = (8x + 6x + 5x)

= 19x = 19 × 17 => 323


6) Answer: A

Total employees = 100x

Number of male employees = 55/100 * 100x = 55x

Number of female employees = 45/100 * 100x = 45x

Number of IT employees = 31/50 * 100x = 62x

Number of HR employees = 19/50 * 100x = 38x

Number of male employees in IT = 55x * 60/100 = 33x

Number of male employees in HR = 55x * 40/100 = 22x

Number of female employees in HR = 38x – 22x = 16x

Required ratio = 22:16

= 11:8


7) Answer: A

The ratio of the total number of students in class A to B = 5: 9 (5x, 9x)

9x – 5x=16

4x=16

x =4

Total number of students in class A=5 * 4=20

Total number of students in class B=9 * 4=36

Number of boys in A=3/5 * 20=12

Number of girls in B=5/9 * 36=20

Required ratio=12:20

=3:5


8) Answer: D

Initial number of female employees = 100x

Number of male employee = 100x * 160/100 = 160x

Required ratio = 160x * 75/100:100x * 140/100

= 6:7


9) Answer: A

Number of boys in A = 7x

Number of boys in B = 8x                                                                                                                                                                                                                        Number of girls in B = 4y

Number of girls in A = 4y * 125/100 = 5y

7x + 5y = 165 —–(1)

8x – 4y = 72

2x – y = 18 —-(2)

From (1) and (2)

17x = 255

x = 15

Number of boys in A = 7 * 15 = 105


10) Answer: E

Total strength = 11x + 14x = 25x

(11x + 8)/(14x + 4) = 15/16

210x + 60 = 176x + 128

x = 2

Initial strength of class = 25 * 2 = 50

New strength = 50 + 8 + 4 = 62

Required percentage = (62 – 50)/50 * 100

= 24%

 

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11) The average of the boys and girls in the class is 45 and the ratio of the boys to girls in the class is 5: 4. If 10 boys left the class and 16 girls joined the class, then what is the ratio of the boys to girls in the class?

A.5: 7

B.4: 5

C.7: 9

D.11: 13

E.None of these


12) Rs.25500 is divided among A, B and C. A gets Rs. 4000 more than B and C gets Rs. 8000 more than B. Find the ratio of amount received by A, B and C?

A.13: 7: 21

B.11: 15: 17

C.17: 9: 25

D.22: 17: 13

E.None of these


13) The number of students in 3 classes is in the ratio 6:7:8. If 15 students are increased in each class this ratio changes to 9:10:11. The total number of students in the three classes in the beginning was

A.90

B.112

C.105

D.75

E.None of these


14) A, B and C together have Rs. 23400. If  4/15th of A’s amount is equal to 2/5th of  B’s amount and 5/8th of  B’s amount is equal to 9/16th of C’s amount, then how much amount does C have?

A.Rs. 13800

B.Rs. 12500

C.Rs. 11000

D.Rs. 7200

E.None of these


15) Incomes and Raji and Moni are in the ratio 5 : 6 and their expenditures are in the ratio 10 : 13. If Raji saves Rs.5000 and Moni saves Rs. 4000, then find the expenditure of Raji?

A.Rs. 16000

B.Rs. 18000

C.Rs. 24000

D.Rs. 20000

E.None of these


16) The ratio of number of boys and girls in a school is 4: 5. If 20% of boys and 30% of girls like Tamil, then find the ratio of boys and girls who did not like Tamil?

A.32: 35

B.35: 32

C.1: 1

D.4: 3

E.None of these


17) The sum of three numbers is 153. If the ratio of the second to the first is 2: 7 and that of second to the third is 5: 3, then the first number is

A.100

B.105

C.120

D.130

E.140


18) The ratio of weight of A, B, C and D is 7: 11: 6: 4. If their average weight is 84 kg, find the sum of weight of A and C.

A.105kg

B.77kg

C.91kg

D.119kg

E.None of these


19) The ratio of the number of balls in box A to B is 3: 4. If 20 balls added to box A and 10 balls drawn from box B, then the ratio of the number of balls in A to B is 2: 1, find the initial number of balls in box B?

A.30

B.24

C.28

D.32

E.None of these


20) Esai spends 20% of the monthly salary on education fee and seven –tenth of the remaining on house rent. Now he left with him Rs.600, then find the salary of Esai?

A.Rs.3000

B.Rs.2500

C.Rs.1800

D.Rs.2100

E.None of these

 

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Answers :

11) Answer: A

Total students in the class = 45 * 2 = 90

Number of boys = 5/9 * 90 = 50

Number of girls = 4/9 * 90 = 40

Current number of boys in the class = 50 – 10 = 40

Girls = 40 + 16 = 56

Required ratio = 40: 56 = 5: 7


12) Answer: C

Let us take amount received by B = x

A = x+ 4000

C = x+ 8000

A+B+C =25500

(x+4000) + x + (x+ 8000) = 25500

3x + 12000 = 25500

3x = 13500

x=4500

Ratio of amount received by A, B and C = (4000+4500): 4500: (4500+8000)

= 8500: 4500: 12500

= 85: 45: 125 = 17: 9: 25


13) Answer: C

Let the number of students in the classes be 6x, 7x and 8x respectively;

Total students = 6x+7x+8x = 21x.

Then (6x+15)/(7x+15)=9/10

60x+150=63x+135

x=5

Total students =21*5=105.


14) Answer: D

A + B + C = Rs. 23400

(4/15)* A = (2/5)* B

(A/B) = (2/5) * (15/4) = 3/2

(5/8)* B = (9/16)* C

(B/C) = (9/16) * (8/5) = 9/10

The ratio of A, B and C = 27 : 18 : 20

65’s = 23400

1’s = 360

C’s share = 20’s = Rs. 7200


15) Answer: D

The ratio of income of Raji and Moni = 5 : 6

According to the question,

(5x – 5000)/(6x – 4000) = 10/13

=> 65x – 65000 = 60x – 40000

= > 5x = 25000

=> x = 5000

Income of Raji = 5x = 5 * 5000 = Rs. 25000

Expenditure of Raji = 25000 – 5000 = Rs. 20000


16) Answer: A

Boys: Girls = 4: 5

Unlike Tamil = 4 * 80/100 : 5 * 70/100

= 32: 35


17) Answer: B

Let the numbers is a, b, c

a: b = 7 : 2

b: c = 5 : 3

a: b: c = (7×5): (5×2) : (2×3)

a: b: c = 35: 10: 6

51 –> 153

35 –> ?

First number = 105


18) Answer: E

The ratio of weight = 7: 11: 6: 4 (7x, 11x, 6x, 4x)

Average weight = 84 kg

=>(7x + 11x + 6x + 4x)/4 = 84

=>28x/4 = 84

=>x = 12

Required sum = (7 * 12) + (6 * 12) = 156 kg


19) Answer: D

(3x + 20)/(4x – 10) = 2/1

8x – 20 = 3x + 20

5x = 40

x = 8

Number of balls in box B = 4 * 8 = 32


20) Answer: B

Total salary = x

Remaining amount = x * 80/100 * 3/10 = 600

= > x = 2500

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This post was last modified on August 17, 2023 2:15 pm