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      Question

      The income of Tanu and Manu is in the ratio of 6:5. Tanu

      saves 20% of her income. Manu’s expenditure is 90% of Tanu’s expenditure. If the difference between their savings is Rs. 9,000, find Manu’s income.
      A Rs.86,540 Correct Answer Incorrect Answer
      B Rs.24,400 Correct Answer Incorrect Answer
      C Rs.18,400 Correct Answer Incorrect Answer
      D Rs.38,200 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let incomes be Rs. 6x and Rs. 5x.

      Savings of Tanu = 6x × 0.2 = Rs. 1.2x

      Expenditure of Tanu = 6x - 1.2x = Rs. 4.8x

      Expenditure of Manu = 4.8x × 0.9 = Rs. 4.32x

      Savings of Manu = 5x - 4.32x = Rs. 0.68x

      ATQ,

      (1.2x - 0.68x) = 9,000

      ⇒ 0.52x = 9,000

      ⇒ x = 17,308

      Income of Manu = 5x = Rs. 86,540

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