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      Question

      Riya, Meena, and Priya spend 30%, 24%, and 32% of their

      income on hobbies respectively. Riya and Meena earn the same amount, and the difference between their hobby expenses is Rs. 480. Priya spends Rs. 1240 less on hobbies compared to the total amount spent by Riya and Meena together. What is the income of Priya?
      A Rs.9625 Correct Answer Incorrect Answer
      B Rs.8820 Correct Answer Incorrect Answer
      C Rs.6545 Correct Answer Incorrect Answer
      D Rs.9550 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the income of Riya, Meena, and Priya be Rs. x, Rs. x, and Rs. y respectively.

      ATQ,

      x × 30% − x × 24% = 480

      x × 6% = 480

      x = 8000

      So, income of Riya and Meena is Rs. 8000 each.

      Amount spent by Riya on hobbies = 30% of 8000 = Rs. 2400

      Amount spent by Meena on hobbies = 24% of 8000 = Rs. 1920

      Amount spent by Priya on hobbies = (2400 + 1920) − 1240 = Rs. 3080

      So, income of Priya = (3080 ÷ 32) × 100 = Rs. 9625

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