Aptitude - Average - Discussion

Total over of match=10+40=50.
Total runs in 50 overs=282.
First 10 overs runs =3.2*10=32.
We have to calculate run rate of last 40 overs.
Now..run in 40 over= total run-10 over's run.
So, 282-32=250.

Run rate in 40 overs= run in 40 overs ÷overs.
=250÷40=6.25.

Hence, the required run rate in 40 is 6.25 answer.

First we have to calculate the last 40 overs run rate.

Total score =282 but already they are scored in first 10 overs score was(10 * 3.2=32),
For these, we are subtracting,
Total score -10 overs score then (282-32) = 250.
Then we have get the score of last 40 over the score was 250.
Total score scored by last 40 overs/ number of overs.
250/40 = 6.25.

The first 10 overs run rate is 3.2 which means score will be taken 32 runs per 10 overs.

Target is 282 then 282-32=250 remaining 40 overs runs.

Finally 250/40=6.25.

Left over = 40-10 = 30overs.
So, required run rate = (target /left over ) - current run rate.
= (282/30)- 3.2.
= 6.2.

First 10 overs Score = 10 overs x 3.2 Run Rate = 32 Runs.
Total targeted runs in 50 overs = 282 Runs
Required Runs to be scored in 40 overs = 250
Total 50 overs Runs(282 Runs)-First 10 overs runs Scored(32 Runs)
Required Run Rate in 40 overs = Required Runs/Remaining overs
= 250 Runs /40 overs
= 6.25

Note we have a formula => Runrate*Overs = Run Scored.

1st > we have given Runrate and overs, so we are calculating the run scored.

ie. 3.2*10 = ? (Run Scored) we get Run scored = 32.

2nd > we have to find the run scored in the remaining 40 overs so we subtract the run scored in the first 10 over from the Total score.

i.e. 282-32=250.

Now we have run scored=250 and overs=40, so we find will find the run rate.

i.e. Runrate*Overs = Run Scored.

Runrate*40 = 250.

Answer==> Runrate = 6.25.

First we calculate 10 overs score using run rate (3.2).

= 10*3.2 = 32 runs.

Target = 282.

We need 250 runs in 40 overs (282-32).

So, 250/40 = 6.25.

Let the run in 5th match be x.

Total runs scored in 4 matches = 80*4 = 320.

Now, when 320 added with x avg becomes 84 (as per question).

= (320+x)/5 = 84.

x = 100.

Answer check: (320+100)/5 = 84.

Ten over run rate is 3.2

So 10*3.2= 32.

Then Target 282-32 = 250.

Remaining over is 40.

250/40= 6.25 answer.

Why we are minus 282 - 32?