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Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9. If each saves Rs. 50 per day, their daily incomes in Rs. are
- a)(40,50)
- b)(50,40)
- c)(400,500)
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Daily earnings of two persons are in the ratio 4:5 and their daily exp...
Here, we know that [ expense = (earning -saving)] then, from question, let earning be 4x and 5x. resp. ,, now , (4x-50)/(5x-50)= 7/9. ...after solving we get x= 100 then .earning will be 4x= 4*100. similarly 5*100. so the ans. is (400,500) .
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Daily earnings of two persons are in the ratio 4:5 and their daily exp...
Given:
- Ratio of daily earnings of two persons = 4:5
- Ratio of their daily expenses = 7:9
- They save Rs. 50 per day each
To find:
- Daily incomes of the two persons
Solution:
Let the daily earnings of the two persons be 4x and 5x respectively, and let their daily expenses be 7y and 9y respectively. We know that they save Rs. 50 each per day.
Hence,
- (4x - 7y) = 50 ...(1)
- (5x - 9y) = 50 ...(2)
Simplifying equation (1), we get:
- 4x - 7y = 50
- 4x = 7y + 50
- x = (7y + 50)/4
Substituting the value of x in equation (2), we get:
- 5((7y + 50)/4) - 9y = 50
- (35y + 250)/4 - 9y = 50
- 35y + 250 - 36y = 200
- y = -50
This negative value of y is not possible, which means there is some mistake in the given data or calculation.
Assuming that there is a mistake in the given data, let's try to solve the problem by assuming some other values.
Let's assume that the daily earnings of the two persons are 4x and 5x, and their daily expenses are 7x and 9x respectively.
Hence,
- (4x - 7x) = 50
- -3x = 50
- x = -50/3
This negative value of x is also not possible, so let's assume some other values.
Let's assume that the daily earnings of the two persons are 4x and 5x, and their daily expenses are 7y and 9y respectively, where y is some positive value.
Hence,
- (4x - 7y) = 50 ...(1)
- (5x - 9y) = 50 ...(2)
Simplifying equation (1), we get:
- 4x - 7y = 50
- 4x = 7y + 50
- x = (7y + 50)/4
Substituting the value of x in equation (2), we get:
- 5((7y + 50)/4) - 9y = 50
- (35y + 250)/4 - 9y = 50
- 35y + 250 - 36y = 200
- y = 50
Hence, the daily expenses of the two persons are:
- Person 1: 7y = 7(50) = 350
- Person 2: 9y = 9(50) = 450
And their daily earnings are:
- Person 1: 4x = 4(7y + 50)/4 = 7y + 50 = 400
- Person 2: 5x = 5(7y + 50)/4 =
- Ratio of daily earnings of two persons = 4:5
- Ratio of their daily expenses = 7:9
- They save Rs. 50 per day each
To find:
- Daily incomes of the two persons
Solution:
Let the daily earnings of the two persons be 4x and 5x respectively, and let their daily expenses be 7y and 9y respectively. We know that they save Rs. 50 each per day.
Hence,
- (4x - 7y) = 50 ...(1)
- (5x - 9y) = 50 ...(2)
Simplifying equation (1), we get:
- 4x - 7y = 50
- 4x = 7y + 50
- x = (7y + 50)/4
Substituting the value of x in equation (2), we get:
- 5((7y + 50)/4) - 9y = 50
- (35y + 250)/4 - 9y = 50
- 35y + 250 - 36y = 200
- y = -50
This negative value of y is not possible, which means there is some mistake in the given data or calculation.
Assuming that there is a mistake in the given data, let's try to solve the problem by assuming some other values.
Let's assume that the daily earnings of the two persons are 4x and 5x, and their daily expenses are 7x and 9x respectively.
Hence,
- (4x - 7x) = 50
- -3x = 50
- x = -50/3
This negative value of x is also not possible, so let's assume some other values.
Let's assume that the daily earnings of the two persons are 4x and 5x, and their daily expenses are 7y and 9y respectively, where y is some positive value.
Hence,
- (4x - 7y) = 50 ...(1)
- (5x - 9y) = 50 ...(2)
Simplifying equation (1), we get:
- 4x - 7y = 50
- 4x = 7y + 50
- x = (7y + 50)/4
Substituting the value of x in equation (2), we get:
- 5((7y + 50)/4) - 9y = 50
- (35y + 250)/4 - 9y = 50
- 35y + 250 - 36y = 200
- y = 50
Hence, the daily expenses of the two persons are:
- Person 1: 7y = 7(50) = 350
- Person 2: 9y = 9(50) = 450
And their daily earnings are:
- Person 1: 4x = 4(7y + 50)/4 = 7y + 50 = 400
- Person 2: 5x = 5(7y + 50)/4 =
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Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9. If each saves Rs. 50 per day, their daily incomes in Rs. area)(40,50)b)(50,40)c)(400,500)d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9. If each saves Rs. 50 per day, their daily incomes in Rs. area)(40,50)b)(50,40)c)(400,500)d)none of theseCorrect answer is option 'C'. 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 Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9. If each saves Rs. 50 per day, their daily incomes in Rs. area)(40,50)b)(50,40)c)(400,500)d)none of theseCorrect answer is option 'C'. 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 Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7:9. If each saves Rs. 50 per day, their daily incomes in Rs. area)(40,50)b)(50,40)c)(400,500)d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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