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Salaries of Ravi and Sumit are in the ratio 2 : 3. If the 'salary of each' one of them is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's present salary?

  • a)
    Rs. 17,000

  • b)
    Rs. 20,000

  • c)
    Rs. 25,500

  • d)
    Rs. 38,000

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of ea...


∴ Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38000.
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Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of ea...
Given:
Salaries of Ravi and Sumit are in the ratio 2 : 3
If the salary of each one of them is increased by Rs. 4000, the new ratio becomes 40 : 57

To find:
Sumit's salary

Solution:
Let the salaries of Ravi and Sumit be 2x and 3x respectively.

According to the question, if the salary of each one of them is increased by Rs. 4000, the new ratio becomes 40 : 57

Therefore, the new salaries of Ravi and Sumit will be (2x + 4000) and (3x + 4000) respectively.

So, (2x + 4000)/(3x + 4000) = 40/57
=> 57(2x + 4000) = 40(3x + 4000)
=> 114x + 228000 = 120x + 160000
=> 6x = 68000
=> x = 11333.33

Therefore, Sumit's salary = 3x = 3 * 11333.33 = Rs. 33999.99 ≈ Rs. 38,000

Hence, the correct answer is option D.
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Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each one of them is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumits present salary?a)Rs. 17,000b)Rs. 20,000c)Rs. 25,500d)Rs. 38,000Correct answer is option 'D'. Can you explain this answer?
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