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    Question

    Economy of a bowler after (0.5n – 6) overs is 6. In

    the next six overs, he conceded 12, 9, 18, 7, 20 and 10, and his economy increases by 2. Find the interest earned on investing Rs. (90n + 1200) on simple interest at (n/10) % p.a. in 3 years. Note: Economy of bowler = (Runs conceded ÷ Overs bowled) 
    A Rs. 560 Correct Answer Incorrect Answer
    B Rs. 540 Correct Answer Incorrect Answer
    C Rs. 600 Correct Answer Incorrect Answer
    D Rs. 576 Correct Answer Incorrect Answer
    E Rs. 624 Correct Answer Incorrect Answer

    Solution

    According to Question; [6 × (0.5n – 6) + 12 + 9 + 18 + 7 + 20 + 10] ÷ (0.5n – 6 + 6) = (6 + 2) Or, (3n – 36 + 76) ÷ (0.5n) = 8 Or, (3n + 40) ÷ (0.5n) = 8 Or, 3n + 40 = 4n Or, n = 40 Amount invested = 90 × 40 + 1200 = Rs. 4,800 Rate of interest = (40/10) = 4% Required interest = 4800 × 4 × 3 ÷ 100 = Rs. 576 Hence, option d.

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