Aptitude - Average - Discussion

Iron manufacturing company produced a total of 3000 tons of iron in January of a particular year. Starting from February its production increased by 200 tons every month over the previous months until the end of that year. Find its average monthly production (in tons) for that year.

First 10 overs ----> 3.2 runrate.
Remaining 40 overs ----> x runrate.

(10*3.2)+(40*x) = 282,
32+40x = 282,
X = 25/4,
X = 6.25.

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.