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A cricketer has an average of 48 after playing for 20 innings. If he scores 240 runs in his next few innings, his average decreases and becomes 40 and then he takes retirement. Find the total number of innings he played till his retirement.
28
26
29
30
27
- Initially, the cricketer has played 20 innings with an average of 48. Therefore, the total runs scored in these 20 innings is 20 × 48 = 960 runs.
- He scores an additional 240 runs in the subsequent innings.
- His total runs after these further innings: 960 + 240 = 1200 runs.
- His average after these innings is 40, so the equation becomes 1200 runs = 40 × total innings.
- Solving this gives total innings = 1200 ÷ 40 = 30 innings.
- So, the total number of innings he played is 30.
- Option 1: 28 – Incorrect, as calculations show total innings are 30.
- Option 2: 26 – Incorrect, below the calculated innings.
- Option 3: 29 – Incorrect, slightly less than the correct number.
- Option 4: 30 – Correct, matches calculated innings.
- Option 5: 27 – Incorrect, below the accurate count.
By: Parvesh Mehta ProfileResourcesReport error
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