What would have been the total runs scored in the third match if Indian team had played 50 overs with the same average which it maintained till the overs actually played?
What would have been the total runs scored in the third match if Indian team had played 50 overs with the same average which it maintained till the overs actually played?
The correct option is B 190
Total number of overs actually played in third match = 44 overs
Total number of runs scored in third match = 80 + 70 + 17 = 167 runs
Method 1 - Through actual calculation method
Average Runs per over in third match =16744=3.8 runs per over
Total runs in 50 overs =50×3.8=190 runs
Method - 2 Through Approximation method
44 overs Percentage Increase of 12%−13%−−−−−−−−−−−−−−−−−−−→ 50 overs
Hence runs scored will also increase by 12% - 13%
Now we will not go through the actual calculation. A quick look at options shows that options are not close, so we can have a good approximation.
Instead of increasing 167 runs (scored in 44 overs) by 12% - 13%, we increase it by ONLY 10% to find a quick range of our answer.
167 Percentage Increase of 10%−−−−−−−−−−−−−−−−→ 167 + 16.7 = 184. Our actual answer will be a bit more than this. Option (b) is the closest one.
Hence option (b) is the answer.
190
Total number of overs actually played in third match = 44 overs
Total number of runs scored in third match = 80 + 70 + 17 = 167 runs
Method 1 - Through actual calculation method
Average Runs per over in third match =16744=3.8 runs per over
Total runs in 50 overs =50×3.8=190 runs
Method - 2 Through Approximation method
44 overs Percentage Increase of 12%−13%−−−−−−−−−−−−−−−−−−−→ 50 overs
Hence runs scored will also increase by 12% - 13%
Now we will not go through the actual calculation. A quick look at options shows that options are not close, so we can have a good approximation.
Instead of increasing 167 runs (scored in 44 overs) by 12% - 13%, we increase it by ONLY 10% to find a quick range of our answer.
167 Percentage Increase of 10%−−−−−−−−−−−−−−−−→ 167 + 16.7 = 184. Our actual answer will be a bit more than this. Option (b) is the closest one.
Hence option (b) is the answer.
