The salaries of Ravi and Suresh are in the ratio 2:3. If the salary of each is increased by Rs. 4,000, the new ratio becomes 40:57. What is Suresh’s increased salary?

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  1. Rs. 17,000
  2.  Rs. 20,000
  3. Rs. 25,500
  4. Rs. 38,000

Answer (Detailed Solution Below)

Option 4 : Rs. 38,000
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Detailed Solution

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Given:

Initial ratio of salaries (Ravi:Suresh) = 2:3

Increase in salary for both = Rs. 4,000

New ratio of salaries (Ravi:Suresh) = 40:57

Calculation:

Let Ravi's initial salary be 2x and Suresh's initial salary be 3x.

New salary of Ravi = 2x + 4,000

New salary of Suresh = 3x + 4,000

Ratio of new salaries: (2x + 4,000) / (3x + 4,000) = 40/57

⇒ (2x + 4,000) / (3x + 4,000) = 40/57

⇒ 57(2x + 4,000) = 40(3x + 4,000)

⇒ 114x + 228,000 = 120x + 160,000

⇒ 120x - 114x = 228,000 - 160,000

⇒ 6x = 68,000

⇒ x = 11,333.33

Suresh's initial salary = 3x = 3 × 11,333.33 = 34,000

Suresh's increased salary = 34,000 + 4,000 = 38,000

Suresh's increased salary is Rs. 38,000.

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