The ratio of the present salaries of Vinod and Manoj is 6 : 7. If both of them get their salaries increased by Rs. 16,000, then the ratio becomes 8 : 9. What is the present salary of Manoj?

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  1. Rs. 48,000
  2. Rs. 72,000
  3. Rs. 56,000
  4. Rs. 64,000

Answer (Detailed Solution Below)

Option 3 : Rs. 56,000
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Detailed Solution

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Given,

The ratio of the present salaries of Vinod and Manoj is 6 : 7

If both of them get their salaries increased by Rs. 16,000, then the ratio becomes 8 : 9.

Calculation:

Let the present salaries of Vinod and Manoj be 6x and 7x respectively

According to the question

(6x + 16000) / (7x + 16000) = 8/9

⇒ 9 (6x + 16000) = 8 (7x + 16000)

⇒ 54x + 144000 = 56x + 128000

⇒ 56x – 54x = 144000 – 128000

⇒ 2x = 16000

⇒ x = 16000/2

⇒ x = 8000

∴ Present salary of Manoj = 7 × 8000 = Rs. 56,000.

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