A cricketer scored 100 runs in his 11th test match. As a result, his batting average increased by 5. What is his current average?
A cricketer scored 100 runs in his 11th test match. As a result, his batting average increased by 5. What is his current average?
एक क्रिकेट खिलाड़ी ने 10 टेस्ट खेलने के बाद 11वें टेस्ट में 100 रन बनाए। परिणामस्वरूप, उसके रनों का औसत 5 से बढ़ गया। रनों का वर्तमान औसत है|
Detailed Solution & Logic
Correct Answer:
50
Let the average after 10 matches = $x$
So, total runs after 10 matches = $10x$
In the 11th match, he scores 100 runs
New average increases by 5 → new average = $(x + 5)$
Total runs after 11 matches = $11(x + 5)$
Form equation:
$10x + 100 = 11(x + 5)$
$10x + 100 = 11x + 55$
$100 - 55 = x$
$x = 45$
Current average = $x + 5 = 50$
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