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      Question

      An individual 'X' earned a total

      of Rs. 68,000 in December, which consisted of a fixed salary and a certain bonus. In January, the bonus increased by 10%, while the fixed salary decreased by 12.5%, resulting in a total income of Rs. 64,000. Determine the fixed salary of 'X' in December.
      A Rs.38,000 Correct Answer Incorrect Answer
      B Rs.45,200 Correct Answer Incorrect Answer
      C Rs.48,000 Correct Answer Incorrect Answer
      D Rs.65,000 Correct Answer Incorrect Answer

      Solution

      ATQ, Let the amount of fixed salary and bonus amount be Rs. 'b' and Rs. 'a', respectively. ATQ, b + a = 68,000 ..........(I) And, {a × 1.1 + b × (7/8) } = 64,000 8.8a + 7b = 5,12,000 ..........(II) On solving, Equation (II) - 7 × Equation (I) , we get, 8.8a + 7b - 7a - 7b = 512000 - 476000 Or, 1.8a = 36,000 Or, 'a' = 20,000 So, 'b' = Rs. 48,000 Therefore, fixed salary of person 'X' = Rs. 'b' = Rs.48,000

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