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Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income is
- a)Rs. 6000
- b)Rs. 4500
- c)Rs. 6400
- d)Rs. 4800
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 whi...
GIVEN:
Income ratio of Rohit and Shikhar = 9 : 7
Expenditure ratio of Rohit and Shikhar = 4 : 3
Savings of Rohit and Shikhar = 15000 and 12000 respectively
FORMULA USED:
Income - savings = Expenditure
CALCULATION:
Let the monthly income of Rohit and Shikhar be 9x and 7x respectively
According to the question,
(9x - 15000)/(7x - 12000) = 4/3
⇒ 27x - 45000 = 28x - 48000
⇒ x = 3000
Difference in Monthly Income = (9x - 7x) = 2 × 3000 = 6000 Rs.
Most Upvoted Answer
Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 whi...
Given:
- The monthly incomes of Rohit and Shikhar are in the ratio of 9:7.
- The monthly expenditures of Rohit and Shikhar are in the ratio of 4:3.
- They save Rs. 15000 and Rs. 12000 per month respectively.
To find:
The difference in their monthly incomes.
Solution:
Let's assume the monthly incomes of Rohit and Shikhar as 9x and 7x respectively, where x is a common factor.
Monthly Expenditures:
The monthly expenditures of Rohit and Shikhar are in the ratio of 4:3. Therefore, we can assume their monthly expenditures as 4y and 3y respectively, where y is a common factor.
- Rohit's monthly expenditure = 4y
- Shikhar's monthly expenditure = 3y
Savings:
It is given that Rohit saves Rs. 15000 per month and Shikhar saves Rs. 12000 per month.
- Rohit's monthly income - Rohit's monthly expenditure = Rs. 15000
- 9x - 4y = 15000
- Shikhar's monthly income - Shikhar's monthly expenditure = Rs. 12000
- 7x - 3y = 12000
Calculating the difference in their monthly incomes:
We can solve the above two equations to find the values of x and y.
Multiplying the first equation by 3 and the second equation by 4, we get:
- 27x - 12y = 45000
- 28x - 12y = 48000
Subtracting these two equations, we get:
- (28x - 27x) - (12y - 12y) = 48000 - 45000
- x = 3000
Substituting the value of x in the first equation:
- 9(3000) - 4y = 15000
- 27000 - 4y = 15000
- 4y = 12000
- y = 3000
Now, we have the values of x and y as 3000 each.
Calculating the difference in their monthly incomes:
Substituting the values of x and y in the equations:
- Rohit's monthly income = 9x = 9(3000) = Rs. 27000
- Shikhar's monthly income = 7x = 7(3000) = Rs. 21000
The difference in their monthly incomes = Rohit's monthly income - Shikhar's monthly income
= Rs. 27000 - Rs. 21000 = Rs. 6000
Therefore, the difference in their monthly incomes is Rs. 6000.
- The monthly incomes of Rohit and Shikhar are in the ratio of 9:7.
- The monthly expenditures of Rohit and Shikhar are in the ratio of 4:3.
- They save Rs. 15000 and Rs. 12000 per month respectively.
To find:
The difference in their monthly incomes.
Solution:
Let's assume the monthly incomes of Rohit and Shikhar as 9x and 7x respectively, where x is a common factor.
Monthly Expenditures:
The monthly expenditures of Rohit and Shikhar are in the ratio of 4:3. Therefore, we can assume their monthly expenditures as 4y and 3y respectively, where y is a common factor.
- Rohit's monthly expenditure = 4y
- Shikhar's monthly expenditure = 3y
Savings:
It is given that Rohit saves Rs. 15000 per month and Shikhar saves Rs. 12000 per month.
- Rohit's monthly income - Rohit's monthly expenditure = Rs. 15000
- 9x - 4y = 15000
- Shikhar's monthly income - Shikhar's monthly expenditure = Rs. 12000
- 7x - 3y = 12000
Calculating the difference in their monthly incomes:
We can solve the above two equations to find the values of x and y.
Multiplying the first equation by 3 and the second equation by 4, we get:
- 27x - 12y = 45000
- 28x - 12y = 48000
Subtracting these two equations, we get:
- (28x - 27x) - (12y - 12y) = 48000 - 45000
- x = 3000
Substituting the value of x in the first equation:
- 9(3000) - 4y = 15000
- 27000 - 4y = 15000
- 4y = 12000
- y = 3000
Now, we have the values of x and y as 3000 each.
Calculating the difference in their monthly incomes:
Substituting the values of x and y in the equations:
- Rohit's monthly income = 9x = 9(3000) = Rs. 27000
- Shikhar's monthly income = 7x = 7(3000) = Rs. 21000
The difference in their monthly incomes = Rohit's monthly income - Shikhar's monthly income
= Rs. 27000 - Rs. 21000 = Rs. 6000
Therefore, the difference in their monthly incomes is Rs. 6000.
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Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income isa)Rs. 6000b)Rs. 4500c)Rs. 6400d)Rs. 4800Correct answer is option 'A'. Can you explain this answer?
Question Description
Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income isa)Rs. 6000b)Rs. 4500c)Rs. 6400d)Rs. 4800Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income isa)Rs. 6000b)Rs. 4500c)Rs. 6400d)Rs. 4800Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income isa)Rs. 6000b)Rs. 4500c)Rs. 6400d)Rs. 4800Correct answer is option 'A'. Can you explain this answer?.
Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income isa)Rs. 6000b)Rs. 4500c)Rs. 6400d)Rs. 4800Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income isa)Rs. 6000b)Rs. 4500c)Rs. 6400d)Rs. 4800Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rohit and Shikhar have their monthly incomes in the ratio of 9 : 7 while their monthly expenditures are in the ratio of 4 : 3, if they have saved Rs. 15000 and 12000 per months respectively, then the difference in their monthly income isa)Rs. 6000b)Rs. 4500c)Rs. 6400d)Rs. 4800Correct answer is option 'A'. Can you explain this answer?.
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