The total monthly salary of 4 men and 2 women is Rs. 46,000. If a woman earns Rs. 500 more than a man, what is the monthly salary of a woman?

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  1. Rs 6000
  2. Rs 7000
  3. Rs 8000
  4. Rs 5000

Answer (Detailed Solution Below)

Option 3 : Rs 8000
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Given:

The total monthly salary of 4 men and 2 women is ₹46,000.

A woman earns ₹500 more than a man.

Formula used:

Let the monthly salary of a man be ₹x.

Then, the monthly salary of a woman = ₹(x + 500).

Total salary of 4 men and 2 women = 4x + 2(x + 500).

Calculation:

4x + 2(x + 500) = 46,000

⇒ 4x + 2x + 1000 = 46,000

⇒ 6x + 1000 = 46,000

⇒ 6x = 46,000 - 1000

⇒ 6x = 45,000

⇒ x = 7,500

Monthly salary of a woman = x + 500

⇒ 7,500 + 500 = 8,000

∴ The correct answer is option (3).

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