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#1
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Kindly Solve This Question
a cricketer has certain average for 9 innings. in the tenth inning, he scores 100 runs,thereby increasing his average by 8 runs. his new average is: ??
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#2
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Quote:
After 10th inning his average becomes = x + 8 Formula for the calculation of average = Sum of All the items / Total Number of the items We have effectively two items in this senario 1: 9 innings of X value 2: 10th inning of 100 Put these values in the above formula: (X + 100)/2 = X+8 Solve this for X you will arrive at X = 84, you know X is the average of first nine innings. Hence his new average after 10th inning will be = 84+8=92 OR =(X + 100) /2 = (84+100)/2 =92 Ans.
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"Tumhary nafs ki qeemat Janat hay isy Janat say kam qeemat pey na bechna." "Jiyo to istarh ky log tum sy milny ko tarsy; maro to istrah k log tumharee mot par royain" |
#3
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But Brother, if his average prior to scoring 100 in the tenth match was 84, it meant that he would have scored 84*9=756 scores. And after scoring 100 in the tenth inning his total score would have become 756+100=856. And his new average out of 10 matches would be 856/10= 85.6. Which is not 8 more than the previous 84. So the calculations have led to the erroneous result. According to me his average of the nine innings was 20. After scoring 100 in the 10th inning his average would become [(20*9)+100]/10 = 28. What do you say sir?
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#4
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The solution would be as follows:
Let the total score for first nine innings be 9x.
Score after the tenth inning will be 9x + 100 Now, the equation would be of the form: 9x/9 +8 = (9x + 100)/10 (9x + 72)/9 = (9x + 100)/10 90x + 720 = 81x + 900 90x minus 81x = 900 minus 720 9x = 180 x = 180/9 x=20 And the new average would be 20 + 8 = 28
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Sang-e-Giran' hain Raah main Hayil to kya hua Manzil chupee hui to meray Hoslon' main hai . . |
#5
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so the old avg was 20 and the new one (20+8) is 28 another way 20*9=180 runs which he was scoring already then 100 runs in 10th attempt added so 180+100=280 now divide 280 on 10 to get new avg = 280/10 = 28
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Luck has a peculiar habit of favouring those who don't depend on it ..... |
#6
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You are right. If the avg of 9 innings is x then their sum will be 9X Total sum of 10 innings will be = 9X+100 Average of 10 innings will be = X+8 As per formula: Average = Total Sum / Number X+8 = (9X+100)/10 Result comes: X=20 New average will be 20+8=28. Ans: 28
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"Tumhary nafs ki qeemat Janat hay isy Janat say kam qeemat pey na bechna." "Jiyo to istarh ky log tum sy milny ko tarsy; maro to istrah k log tumharee mot par royain" |
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Faisal86 (Sunday, June 03, 2012) |
#7
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answer will be 28
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