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)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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