CAT 2000 | Question: 141

Question

Answer the following question based on the information given below.
Factory Sector by Type of Ownership.
All figures in the table are in percent of the total for the corresponding column.

Sector	Factories	Employment	Fixed Capital	Gross Output	Value Added
Public	7	27.7	43.2	25.8	30.8
Central Govt.	1	10.5	17.5	12.7	14.1
State/local Govt.	5.2	16.2	24.3	11.6	14.9
Central & State/local Govt.	0.8	1	1.4	1.5	1.8
Joint	1.8	5.1	6.8	8.4	8.1
Wholly private	90.3	64.6	46.8	63.8	58.7
Others	0.9	2.6	3.2	2	2.4
Total	100	100	100	100	100

Suppose the average employment level is $60$ per factory. The average employment in “wholly private” factories is approximately

• A. $43$
• B. $47$
• C. $50$
• D. $54$

Answer 1

Let there be $100$ factories in total.
Since there are $60$ workers / factory, so total workers = $60*100 = 6000$

Out of which $64.6\%$ of workers work in “Wholly private” factories i.e. $6000*0.646 = 3876$ workers

Now “Wholly private” have 90.3 factories,
So $\#$workers/factory = $\frac{3876}{90.3} = 42.92 \approx 43$ workers.

Comments

Thanks for the answer. But summation of employment column is > 100. Shouldn't the summation be equal to total = 100?