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 Monthly incomes of two persons are in the ratio 4:5 and their monthly expenses are in the ratio 7:9. If each saves Rs. 50 per month find their monthly incomes. 
  • a)
    (500, 400) 
  • b)
    (400, 500) 
  • c)
    (300, 600) 
  • d)
    (350, 550) 
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Monthly incomes of two persons are in the ratio 4:5 and their monthly ...
4x-7y=50
5x-9y=50
by solving these equations you find the answer
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Monthly incomes of two persons are in the ratio 4:5 and their monthly ...
Solution:

Given:
Monthly incomes ratio = 4:5
Monthly expenses ratio = 7:9
Savings per month = Rs. 50

Let the monthly incomes be 4x and 5x respectively.

Let the monthly expenses be 7y and 9y respectively.

Calculation:
- Savings = Income - Expenses
- 4x - 7y = 50 (1)
- 5x - 9y = 50 (2)

Multiplying equation (1) by 5 and equation (2) by 4:
- 20x - 35y = 250 (3)
- 20x - 36y = 200 (4)

Subtracting equation (3) from equation (4):
- y = 50

Substitute y = 50 into equation (1):
- 4x - 7(50) = 50
- 4x - 350 = 50
- 4x = 400
- x = 100

Therefore, the monthly incomes are:
- Person 1: 4x = 4(100) = Rs. 400
- Person 2: 5x = 5(100) = Rs. 500

Hence, the monthly incomes of the two persons are 400 and 500 respectively.
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Monthly incomes of two persons are in the ratio 4:5 and their monthly expenses are in the ratio 7:9. If each saves Rs. 50 per month find their monthly incomes.a)(500, 400)b)(400, 500)c)(300, 600)d)(350, 550)Correct answer is option 'B'. Can you explain this answer?
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Monthly incomes of two persons are in the ratio 4:5 and their monthly expenses are in the ratio 7:9. If each saves Rs. 50 per month find their monthly incomes.a)(500, 400)b)(400, 500)c)(300, 600)d)(350, 550)Correct answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Monthly incomes of two persons are in the ratio 4:5 and their monthly expenses are in the ratio 7:9. If each saves Rs. 50 per month find their monthly incomes.a)(500, 400)b)(400, 500)c)(300, 600)d)(350, 550)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monthly incomes of two persons are in the ratio 4:5 and their monthly expenses are in the ratio 7:9. If each saves Rs. 50 per month find their monthly incomes.a)(500, 400)b)(400, 500)c)(300, 600)d)(350, 550)Correct answer is option 'B'. Can you explain this answer?.
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