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The monthly salaries of A and B are in the ratio 5 : 6. If both of them get a salary increment of Rs. 2000, the new ratio becomes 11 : 13. What is the new monthly salary of A?
- a)Rs. 20000
- b)Rs. 24000
- c)Rs. 26000
- d)Rs. 22000
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The monthly salaries of A and B are in the ratio 5 : 6. If both of the...
Given:
Ratio of salaries of A and B = 5 : 6
New ratio = 11 : 13
Salary increment of each = Rs. 2000
Calculations:
Let the unit of ratio be x
A’s salary = 5x
B’s salary = 6x
After increment,
⇒ (5x + 2000)/(6x + 2000) = 11/13
⇒ 13(5x + 2000) = 11(6x + 2000)
⇒ 65x + 26000 = 66x + 22000
⇒ x = Rs. 4000
⇒ A’s new month salary = 5x + 2000 = 5 × 4000 + 2000
⇒ A’s new month salary = Rs. 22000
∴ The new monthly salary of A is Rs. 22000.
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The monthly salaries of A and B are in the ratio 5 : 6. If both of the...
To find the new monthly salary of A, we need to first determine the original monthly salaries of A and B. Let's assume the original salaries of A and B are 5x and 6x respectively.
1. Determine the original salaries of A and B
- The ratio of their salaries is given as 5:6, so we can write the equation: 5x/6x.
- Simplifying the equation, we get: 5/6.
2. Determine the increased salaries of A and B
- Both A and B receive a salary increment of Rs. 2000.
- Therefore, the increased salaries become 5x + 2000 and 6x + 2000.
3. Determine the new ratio of their salaries
- The new ratio is given as 11:13, so we can write the equation: (5x + 2000)/(6x + 2000) = 11/13.
4. Solve the equation to find the value of x
- Cross multiplying the equation, we get: 13(5x + 2000) = 11(6x + 2000).
- Expanding and simplifying the equation, we get: 65x + 26000 = 66x + 22000.
- Rearranging the equation, we get: 66x - 65x = 26000 - 22000.
- Simplifying further, we get: x = 4000.
5. Calculate the new monthly salary of A
- Substituting the value of x into the original salary equation, we get: 5x = 5 * 4000 = 20,000.
Therefore, the new monthly salary of A is Rs. 20,000.
1. Determine the original salaries of A and B
- The ratio of their salaries is given as 5:6, so we can write the equation: 5x/6x.
- Simplifying the equation, we get: 5/6.
2. Determine the increased salaries of A and B
- Both A and B receive a salary increment of Rs. 2000.
- Therefore, the increased salaries become 5x + 2000 and 6x + 2000.
3. Determine the new ratio of their salaries
- The new ratio is given as 11:13, so we can write the equation: (5x + 2000)/(6x + 2000) = 11/13.
4. Solve the equation to find the value of x
- Cross multiplying the equation, we get: 13(5x + 2000) = 11(6x + 2000).
- Expanding and simplifying the equation, we get: 65x + 26000 = 66x + 22000.
- Rearranging the equation, we get: 66x - 65x = 26000 - 22000.
- Simplifying further, we get: x = 4000.
5. Calculate the new monthly salary of A
- Substituting the value of x into the original salary equation, we get: 5x = 5 * 4000 = 20,000.
Therefore, the new monthly salary of A is Rs. 20,000.
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The monthly salaries of A and B are in the ratio 5 : 6. If both of them get a salary increment of Rs. 2000, the new ratio becomes 11 : 13. What is the new monthly salary of A?a)Rs. 20000b)Rs. 24000c)Rs. 26000d)Rs. 22000Correct answer is option 'D'. Can you explain this answer? for SAT 2026 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The monthly salaries of A and B are in the ratio 5 : 6. If both of them get a salary increment of Rs. 2000, the new ratio becomes 11 : 13. What is the new monthly salary of A?a)Rs. 20000b)Rs. 24000c)Rs. 26000d)Rs. 22000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The monthly salaries of A and B are in the ratio 5 : 6. If both of them get a salary increment of Rs. 2000, the new ratio becomes 11 : 13. What is the new monthly salary of A?a)Rs. 20000b)Rs. 24000c)Rs. 26000d)Rs. 22000Correct answer is option 'D'. Can you explain this answer?.
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