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      Question

      Rohan allocates his income in the following manner: he

      spends 25% on rent, then 20% of the remaining amount on food. From what is left, he deposits 30% into his bank account and divides the rest between insurance and shares in the ratio of 9:5. If the difference between the amounts he invests in insurance and shares is Rs. 10,800, calculate the total amount deposited by Rohan in his bank account.
      A Rs. 19,200 Correct Answer Incorrect Answer
      B Rs. 16,200 Correct Answer Incorrect Answer
      C Rs. 13,600 Correct Answer Incorrect Answer
      D Rs. 21,200 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the income of Rohan be Rs. '100x' So, income spent on rent = 100x X 0.25 = Rs. '25x' So, remaining income = 100x - 25x = Rs. '75x' Now, income spent on food = 75x X 0.2 = Rs. '15x' So, remaining income = 75x - 15x = Rs. '60x' So, sum deposited in bank = 60x X 0.3 = Rs. '18x' And remaining income = 60x - 18x = Rs. '42x' So, sum invested in insurance = 42x X (9/14) = Rs. '27x' And sum invested in shares = 42x - 27x = Rs. '15x' ATQ; 27x - 15x = 10800 Or, 12x = 10800 So, 'x' = 900 So, sum deposited in the bank = Rs. '18x' = Rs. (900 X 18) = Rs. 16,200

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