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Data Insights (DI) Butler 2023-24 [Question #218, Date: Jan-26-2024] [Click here for Details]
In Semanta, there are 52 major businesses: 10 in the manufacturing sector, 24 in the service industry, and 18 start-ups. All the manufacturing businesses have been in operation since before 1970. All the start-ups and a third of the service-oriented businesses were founded after the year 2000.
Of businesses not in the downtown sector, approximate % are start-ups.
Assume that any business founded after 2000 had a website from its start, and that any business founded with a website before that added a website after it had already been in operation. These latter companies constitute % of companies with a website.
Data Insights (DI) Butler 2023-24 [Question #218, Date: Jan-26-2024] [Click here for Details]
In Semanta, there are 52 major businesses: 10 in the manufacturing sector, 24 in the service industry, and 18 start-ups. All the manufacturing businesses have been in operation since before 1970. All the start-ups and a third of the service-oriented businesses were founded after the year 2000. Of businesses not in the downtown sector, approximate % are start-ups. Assume that any business founded after 2000 had a website from its start, and that any business founded with a website before that added a website after it had already been in operation. These latter companies constitute % of companies with a website.
1st : Of businesses not in the downtown sector, approximate___________ % are start-ups. Total businesses in downtown sector = 22 (10 startup, 7 manf. , 5 service) % startup = 10/22*100 = 5*100/11 = 45.45 %
2nd:
Assume that any business founded after 2000 had a website from its start ==> All startups + 1/3 of Service = 18 + (1/3)*24 =
and that any business founded with a website before that added a website after it had already been in operation; a) Composition of industries with websites = 1 (Manf.) + 13 (Service) + 18 startups = 32 b) All startups (18 nos.) and 8 no.s of Service Industries were founded after 2000 i.e. total 26, industries incorporating websites post-2000 are = 32-26 = 6
Therefore, the percentage of the latter = 6/32*100 = 3/16*100 = 18.75 %
we were asked how many industries among website has added website after they were in operation.
Now, pl look in website circle we have 18 startup, 13 service and 1 manufacturing.
Since 8 service industry found after 2000 have started with website. Hence 5 industry in service sector added site later on.
Hence total industries which added website after starting operations = 1 (manufact)+ 5 (service) = 6
so, answer is (6/32)*100 = 18.75%
Hope that helps!!
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Detailing from where this "5" came from:
"a third of the service-oriented businesses were founded after the year 2000"(1/3*24 = 8) + "Assume that any business founded after 2000 had a website from its start" => "8 service-oriented businesses had a website from its start" From the chart 13 service-oriented business has a website So, 13-8=5 service-oriented business didn't have a website from its started and added it after already been in operation.
2. Assume that any business founded after 2000 had a website from its start, and that any business founded with a website before that added a website after it had already been in operation. These latter companies constitute [__] % of companies with a website.
Those adding a website after it had already been in operation => Founded before 2000
The number of businesses having a website
13 service (triangles)
8 founded after 2000 (because all started after 2000 had a website)
1 manufacturing (square)
18 startups (circles): all started after 2000 and had a website
=> Total: 32
Number of those founded after 2000 (& had a website): 26 = 18 + 8 Number of those founded before 2000 (& had a website): 6 = 32 - 16