Shweta spends 21% of her monthly salary on house rent, 14% on education, and 13% on entertainment, and still saves ₹5,408. What is her monthly salary (in ₹)?

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 26 Jun, 2024 Shift 1)
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  1. 9,150
  2. 12,400
  3. 10,400
  4. 14,000

Answer (Detailed Solution Below)

Option 3 : 10,400
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Detailed Solution

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Given:

House rent expenditure = 21% of monthly salary

Education expenditure = 14% of monthly salary

Entertainment expenditure = 13% of monthly salary

Savings = ₹5,408

Formula Used:

Total monthly salary = House rent expenditure + Education expenditure + Entertainment expenditure + Savings

Calculation:

Let the monthly salary be ₹x.

House rent expenditure = 0.21x

Education expenditure = 0.14x

Entertainment expenditure = 0.13x

Total monthly salary = 0.21x + 0.14x + 0.13x + 5408

⇒ x = 0.21x + 0.14x + 0.13x + 5408

⇒ x = 0.48x + 5408

⇒ x - 0.48x = 5408

⇒ 0.52x = 5408

⇒ x = 5408 / 0.52

⇒ x = 10400

Shweta's monthly salary is ₹10,400.

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