Multiple choice

Bowling average of Jadeja in matches played by him was 14 runs/wicket. In next match his performances was 4wickets for 72 run. So his new bowling average becomes 14.2 runs/wicket. Find the total number of wickets taken by him till now. जडेजा का गेंदबाजी औसत उसके द्वारा खेले गये मैचों में 14 रन प्रति विकेट था। अगले मैच में उसका गेंदबाजी प्रदर्शन 72 रन पर 4 विकेट था अतः उसका नया औसत 14.2 रन प्रति विके टहो गया। उसके द्वारा अब तक लिये गये कुल विकेटों की संख्या ज्ञात कीजिये।

  1. 72 wickets/विकेट

  2. 80 wickets/विकेट

  3. 16 wickets/विकेट

  4. 84 wickets/विकेट

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B Correct answer
Explanation

Let previous wickets = w, previous runs = 14w (since average = 14). New match: 4 wickets for 72 runs, so total wickets = w+4, total runs = 14w+72, new average = (14w+72)/(w+4) = 14.2. Solving: 14w+72 = 14.2w + 56.8, so 72-56.8 = 0.2w, giving 15.2 = 0.2w, so w = 76. Total wickets = 76+4 = 80. The average changes when new performance differs from existing average.