Question

The average production of a unit fr the first six months was $3000$ units. The total production in july, August and September was $13,500$ units. What will be the average monthly production of the unit for the year if the average production for the last three months is $500$ more than the average of the previous nine months?

Answer 1

Total Production in first six months $=3000\ast 6=18000$

Average of last nine months $=\frac{18000+13500}{9}=3500$

Now, Average of last 3 months is 500 more than 3500

$=3500+500=4000$

Hence, Total Production in last 3 months $=3\ast 4000=12000$

Therefore, Total Production is $18000+13500+12000=43500$

and Average Monthly Production for the Year is $=\frac{43500}{12}=3625$ units