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      Question

      The incomes of 'Aman' and 'Bittu' are in the ratio 8:15

      respectively. Income of 'Aman' is increased by 50% and that of 'Bittu' is decreased by Rs. 3,000 such that decreased income of 'Bittu' equals 80% of income of 'Charu'. Also income of 'Charu' is Rs. 7000 more than the previous income of 'Aman'. Determine the increased income of 'Aman'. 
      A Rs.15,000 Correct Answer Incorrect Answer
      B Rs.18,000 Correct Answer Incorrect Answer
      C Rs.12,000 Correct Answer Incorrect Answer
      D Rs.17,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let Aman, Bittu and Charu can be defined as A, B and C respectively.

      Let the initial incomes of 'A' and 'B' be Rs. '8x' and Rs. '15x', respectively. So, new income of 'A' = 8x X 1.5 = Rs. '12x' And new income of 'B' = Rs. '15x - 3000' And income of 'C' = (15x - 3000) X (5/4) ATQ; (15x - 3000) X (5/4) = 7000 + 8x Or, 75x - 15000 = 28000 + 32x Or, 43000 = 43x So, x = 1000 So, new income of 'A' = 12 X 1000 = Rs.12,000 

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