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      Question

      'Amit' placed an investment of Rs. (x - 600) at a simple

      interest rate of 10% per annum for a duration of 4 years. On the other hand, 'Bheem' invested Rs. (x + 600) at a 15% annual interest rate, compounded yearly for 2 years. The total interest earned by both 'Amit' and 'Bheem' combined is Rs. 3,855. Additionally, 'Chintu' invested Rs. 3,000 for 3 years at a simple interest rate of 20% per annum. Which of the following options accurately represents the amount received by 'Chintu'?
      A Rs. (90% of 7000 + 0.45x) Correct Answer Incorrect Answer
      B Rs. (30% of 7900 + 0.45x) Correct Answer Incorrect Answer
      C Rs. (10% of 6500 + 0.45x) Correct Answer Incorrect Answer
      D Rs. (40% of 2800 + 0.6x) Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, For 'Amit': Simple interest = Principal × (Rate/100) × Time period in years = (x - 600) × (10/100) × 4 = 0.4 × (x - 600) = Rs. (0.4x - 240) For 'Bittu': ATQ, Or, x = 3901.5 × (400/289) So, x = 5400 For 'Chintu': Amount received by 'Chintu' = 3000 × (20/100) × 3 + 3000 = 1800 + 3000 = Rs. 4,800 For option 'A': Amount received by 'Chintu' = 60% of 2800 + 0.6x = 0.6 × 2800 + 0.6 × 5400 = 1680 + 3240 = Rs. 4,920 ≠ Rs. 4,800 So, option 'A' is incorrect For option 'B': Amount received by 'Chintu' = 30% of 7900 + 0.45x = (0.3 × 7900) + (0.45 × 5400) = 2370 + 2430 = Rs. 4,800 Therefore, option 'B' is correct.

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