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The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?
- a)3 : 1 : 11
- b)15 : 18 : 7
- c)15 : 18 : 11
- d)12 : 15 : 13
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendin...
Given: Incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. A saves 25% of his income.
Let the incomes of A, B, C be 12x, 9x, and 7x respectively.
And, their spendings be 15y, 9y, and 8y respectively.
A saves 25% of his income = 25% of 12x = (25/100) * 12x = 3x
Therefore, A's spending = 15y, and A's saving = 3x.
Now, we can calculate the spending and savings of B and C as follows:
- Spending of B = 9y * 15/9 = 15y
- Spending of C = 7y * 15/8 = 13.125y
Let S be the total savings of A, B, and C.
Then, S = A's saving + B's saving + C's saving
S = 3x + (9x - 15y) + (7x - 13.125y)
Simplifying the above expression, we get:
S = 15x/8 - 2.125y
Now, we can express the ratio of savings of A, B, and C as:
A:B:C = 3x : (9x - 15y) : (7x - 13.125y)
To simplify this ratio, we can substitute the values of x and y as follows:
- x = k (let k be a constant)
- 15y = 15/32 * 12k = 45/8 k
Therefore, the ratio of savings of A, B, and C is:
A:B:C = 3k : 6k : 11k
Simplifying this ratio by dividing all terms by 3k, we get:
A:B:C = 1 : 2 : 11/3
Multiplying all terms by 3, we get:
A:B:C = 3 : 6 : 11
Hence, the ratio of the savings of A, B, and C is 15 : 18 : 11 (option C).
Let the incomes of A, B, C be 12x, 9x, and 7x respectively.
And, their spendings be 15y, 9y, and 8y respectively.
A saves 25% of his income = 25% of 12x = (25/100) * 12x = 3x
Therefore, A's spending = 15y, and A's saving = 3x.
Now, we can calculate the spending and savings of B and C as follows:
- Spending of B = 9y * 15/9 = 15y
- Spending of C = 7y * 15/8 = 13.125y
Let S be the total savings of A, B, and C.
Then, S = A's saving + B's saving + C's saving
S = 3x + (9x - 15y) + (7x - 13.125y)
Simplifying the above expression, we get:
S = 15x/8 - 2.125y
Now, we can express the ratio of savings of A, B, and C as:
A:B:C = 3x : (9x - 15y) : (7x - 13.125y)
To simplify this ratio, we can substitute the values of x and y as follows:
- x = k (let k be a constant)
- 15y = 15/32 * 12k = 45/8 k
Therefore, the ratio of savings of A, B, and C is:
A:B:C = 3k : 6k : 11k
Simplifying this ratio by dividing all terms by 3k, we get:
A:B:C = 1 : 2 : 11/3
Multiplying all terms by 3, we get:
A:B:C = 3 : 6 : 11
Hence, the ratio of the savings of A, B, and C is 15 : 18 : 11 (option C).
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Community Answer
The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendin...
Income = Expenditure + Savings
A 12x = 15 y + 3x
B 9x = 9y + (9x–9y)
C 7x = 8y + (7x – 8y)
Therefore, 12x – 3x = 15y
A 12x = 15 y + 3x
B 9x = 9y + (9x–9y)
C 7x = 8y + (7x – 8y)
Therefore, 12x – 3x = 15y
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The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?a)3 : 1 : 11b)15 : 18 : 7c)15 : 18 : 11d)12 : 15 : 13Correct answer is option 'C'. Can you explain this answer?
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The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?a)3 : 1 : 11b)15 : 18 : 7c)15 : 18 : 11d)12 : 15 : 13Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?a)3 : 1 : 11b)15 : 18 : 7c)15 : 18 : 11d)12 : 15 : 13Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?a)3 : 1 : 11b)15 : 18 : 7c)15 : 18 : 11d)12 : 15 : 13Correct answer is option 'C'. Can you explain this answer?.
The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?a)3 : 1 : 11b)15 : 18 : 7c)15 : 18 : 11d)12 : 15 : 13Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?a)3 : 1 : 11b)15 : 18 : 7c)15 : 18 : 11d)12 : 15 : 13Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?a)3 : 1 : 11b)15 : 18 : 7c)15 : 18 : 11d)12 : 15 : 13Correct answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice The incomes of A, B, C are in the ratio of 12: 9 : 7 and their spendings are in the ratio 15 : 9 : 8. If A saves 25% if his income. What is the ratio of the savings of A,B and C ?a)3 : 1 : 11b)15 : 18 : 7c)15 : 18 : 11d)12 : 15 : 13Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
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