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All questions of Ratio & Proportion for Bank Exams Exam

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The ratio of age of Krish and her mother is 5:12 and difference of their ages is 21. What will be the ratio of their ages after 3 years ?
a)7:15
b)11:5
c)13:7
d)6:13
e)None of these
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
Given: The ratio of age of Krish and her mother is 5:12 and difference of their ages is 21.

Let the age of Krish be 5x and the age of her mother be 12x.

Then, 12x - 5x = 21

Solving for x, we get x = 3.

So, Krish's age = 5x = 15 years and her mother's age = 12x = 36 years.

After 3 years, Krish's age will be 18 years and her mother's age will be 39 years.

Therefore, the required ratio of their ages after 3 years = 18:39 = 6:13.

Hence, the correct answer is option D) 6:13.

One year ago the ratio between rahul salary and rohit salary is 4:5. The ratio between their individual salary of the last year and current year is 2:3 and 3:5 respectively. If the total current salary of rahul and rohit is 4300. Then find the current salary of rahul.
  • a)
    1200
  • b)
    1800
  • c)
    1600
  • d)
    2000
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Faizan Khan answered
Answer – B.1800 Explanation : 4x and 5x is the last year salry of rahul and rohit respectively Rahul last year to rahul current year = 2/3 Rohit last year to rohit current year = 3/5 Current of rahul + current of rohit = 4300 (3/2)*4x + (5/3)*5x = 4300.
X = 300.
So rahul current salary  = 3/2 * 4* 300 = 1800

Section A and section B of 7th class in a school contains total 285 students.Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?
  • a)
    6 : 5
  • b)
    10 : 9
  • c)
    11 : 9
  • d)
    13 : 12
  • e)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?

Faizan Khan answered
B) 10 : 9
Explanation: The number of boys and girls cannot be in decimal values, so the denominator should completely divide number of students (285).
Check each option: 6+5 = 11, and 11 does not divide 285 completely. 10+9 = 19, and only 19 divides 285 completely among all.

A, B and C divide Rs 4200 among themselves in the ratio 7 : 8 : 6. If Rs 200 is added to each of their shares, what is the new ratio in which they will receive the money?
  • a)
    9 : 8 : 7
  • b)
    8 : 9 : 7
  • c)
    8 : 9 : 8
  • d)
    9 : 10 : 8
  • e)
    7 : 9 : 8
Correct answer is option 'B'. Can you explain this answer?

Alok Verma answered
B) 8 : 9 : 7
Explanation: A gets = [7/(7+8+6)] * 4200 = 1400 B gets = [8/(7+8+6)] * 4200 = 1600 C gets = [6/(7+8+6)] * 4200 = 1200 Rs 200 added to each share, so new ratio = 1400+200 : 1600+200 : 1200+200
1600 : 1800 : 1400

A sum of Rs 315 consists of 25 paise, 50 paise and 1 Re coins in the ratio 3 : 4 :6. What is the number of each kind of coin respectively?.
  • a)
    216, 144, 27
  • b)
    108, 144, 216
  • c)
    27, 72, 216
  • d)
    120, 35, 108
  • e)
    102, 150, 210
Correct answer is option 'B'. Can you explain this answer?

Kavya Saxena answered
B) 108, 144, 216
Explanation: 25 paise = 25/100 Rs, 50 paise = 50/100 Rs So value ratio of these coins become = 3*(25/100) : 4*(50/100) : 6*(1) = 3/4 : 2 : 6 = 3 : 8 : 24
So 25 paise coins value= [3/(3+8+24)] * 315 = Rs 27, so coins = 27 * (100/25) = 108
Similarly find others.

The sum of the squares between three numbers is 5000. The ratio between the first and the second number is 3:4 and that of second and third number is 4:5.Find the difference between first and the third number.
  • a)
    20
  • b)
    30
  • c)
    40
  • d)
    50
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
Given:
Sum of squares between three numbers = 5000
Ratio between first and second number = 3:4
Ratio between second and third number = 4:5

To find:
Difference between first and third number

Solution:
Let the three numbers be 3x, 4x, and 5x (based on the given ratios)
Sum of squares = (3x)^2 + (4x)^2 + (5x)^2
= 9x^2 + 16x^2 + 25x^2
= 50x^2

Given, sum of squares = 5000
50x^2 = 5000
x^2 = 100
x = 10

Therefore, the three numbers are 30, 40, and 50.

The difference between the first and third number = 50 - 30 = 20

Hence, the correct answer is option A.

The income of riya and priya are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 2000, then find their income.
  • a)
    4000, 6000
  • b)
    4000, 5000
  • c)
    5000, 4000
  • d)
    5000, 6000
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Given:
Income ratio of Riya and Priya = 4:5
Expenditure ratio of Riya and Priya = 2:3
Savings of each = $2000

To find:
Income of Riya and Priya

Solution:
Let the income of Riya be 4x and the income of Priya be 5x.
Let the expenditure of Riya be 2y and the expenditure of Priya be 3y.

Since the savings of each is $2000, we can write the equation as:
4x - 2y = 2000 ...(1)
5x - 3y = 2000 ...(2)

Now, we need to solve these two equations to find the values of x and y.

Simplifying equation (1) by dividing both sides by 2, we get:
2x - y = 1000

Multiplying equation (2) by 2, we get:
10x - 6y = 4000

Now, we have two equations:
2x - y = 1000 ...(3)
10x - 6y = 4000 ...(4)

Multiplying equation (3) by 6 and equation (4) by 1, we get:
12x - 6y = 6000 ...(5)
10x - 6y = 4000 ...(6)

Now, subtracting equation (6) from equation (5), we get:
(12x - 6y) - (10x - 6y) = 6000 - 4000
2x = 2000
x = 1000

Substituting the value of x in equation (1), we can find y:
4x - 2y = 2000
4(1000) - 2y = 2000
4000 - 2y = 2000
-2y = -2000
y = 1000

Therefore, the income of Riya is 4x = 4(1000) = $4000 and the income of Priya is 5x = 5(1000) = $5000.

Hence, the correct answer is option B) 4000, 5000.

 If 20% of x = 30% of y then x:y is
  • a)
    2:3
  • b)
    3:2
  • c)
    1:2
  • d)
    1:3
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Jay Sharma answered
20%= 1/5
30%= 3/10
Means
1/5 x = 3/10 y
x/y = 15/10(after cross multiplication)
x/y = 3/2
hence,
x :y=3:2
option b

An amount of money is to be distributed among P, Q and R in the ratio of 7:4:5 respectively. If the total share of P and R is 4 times the share of Q, what is definitely Q’s share?
  • a)
    2000
  • b)
    4000
  • c)
    6000
  • d)
    Data inadequate
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Cstoppers Instructors answered

The given ratio is:
A : B : C = 3 : 5 : 7
Let the common factor be x. Thus, the production units will be:
A = 3x
B = 5x
C = 7x
We are also given that the total production is 30,000 units. So:
3x + 5x + 7x = 30,000
15x = 30,000
x = 2,000
Now, substitute x = 2,000 into the expressions for each product:
A's production = 3 × 2,000 = 6,000 units
B's production = 5 × 2,000 = 10,000 units
C's production = 7 × 2,000 = 14,000 units
So, the production for A, B, and C is:
A = 6,000 units
B = 10,000 units
C = 14,000 units
Final Answer:
Initial production:
A = 6,000 units, B = 10,000 units, C = 14,000 units
 

Three cars travel same distance with speeds in the ratio 2 : 4 : 7. What is the ratio of the times taken by them to cover the distance?
  • a)
    12 : 6 : 7
  • b)
    14 : 7 : 4
  • c)
    10 : 5 : 9
  • d)
    7 : 4 : 14
  • e)
    14 : 10 : 7
Correct answer is option 'B'. Can you explain this answer?

Aarav Sharma answered
Ratio of speeds of three cars = 2 : 4 : 7

Let us assume that the distance covered by each car is equal to ‘d’ units.

Let the time taken by each car to cover this distance be ‘t1’, ‘t2’ and ‘t3’ units.

We know that,

Speed = Distance / Time

Therefore,

t1 = d/2, t2 = d/4 and t3 = d/7

Ratio of time taken by each car to cover the distance = t1 : t2 : t3

= d/2 : d/4 : d/7

= 7d/14 : 3.5d/14 : 2d/14

= 14 : 7 : 4

Hence, the correct answer is option B) 14 : 7 : 4.

Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?
  • a)
    C, Rs 246
  • b)
    C, Rs 264
  • c)
    B, Rs 18
  • d)
    A, Rs 246
  • e)
    A, Rs 264
Correct answer is option 'E'. Can you explain this answer?

Anaya Patel answered
E) A, Rs 264 Explanation: New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4 So both ratio suggests that C has not gained any money, rather he has lose the money.
For both ratio find the shares of A and B With ratio 2 : 4 : 7, A gets = [2/(2+4+7)] * 650 = 100, B gets = [4/(2+4+7)] * 650 = 200
With ratio 14 : 7 : 4, A gets = [14/(14+7+4)] * 650 = 364, B gets = [7/(14+7+4)] * 650 = 182
B has also lose the money, A gain the money and = 364 – 100 = 264

The income of Vinay and Prakash are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 5000, then find their income.
  • a)
    7500, 10000
  • b)
    12500, 10000
  • c)
    10000, 12500
  • d)
    12500, 7500
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Aarav Sharma answered
Given information:
- The income of Vinay and Prakash are in the ratio of 4:5.
- Their expenditure is in the ratio of 2:3.
- Each of them saves 5000.

Let's assume the income of Vinay and Prakash as 4x and 5x respectively.
Similarly, let's assume the expenditure of Vinay and Prakash as 2y and 3y respectively.

According to the given information, we can write the following equations:
4x - 2y = 5000 ----(1) (Vinay's savings)
5x - 3y = 5000 ----(2) (Prakash's savings)

To solve these equations, we can use the method of substitution or elimination.

Using elimination method:
Multiply equation (1) by 3 and equation (2) by 2 to eliminate 'y':
12x - 6y = 15000 ----(3)
10x - 6y = 10000 ----(4)

Subtract equation (4) from equation (3):
(12x - 6y) - (10x - 6y) = 15000 - 10000
2x = 5000
x = 2500

Substitute the value of x in equation (1) to find y:
4(2500) - 2y = 5000
10000 - 2y = 5000
-2y = 5000 - 10000
-2y = -5000
y = 2500

So, the income of Vinay is 4x = 4(2500) = 10000 and the income of Prakash is 5x = 5(2500) = 12500.

Therefore, the correct answer is option C) 10000, 12500.

Chapter doubts & questions for Ratio & Proportion - NABARD Grade A & Grade B Preparation 2024 is part of Bank Exams exam preparation. The chapters have been prepared according to the Bank Exams exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Bank Exams 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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