A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals - FDA or EU.The following facts are also known:1. There were equal numbers of domestic and foreign products.2. Half of the domestic products were FDA approved cosmetic products.3. None of the foreign products had both the approvals, while 60 domestic products had both the approvals.4. There were 140 nutrition products, half of them were foreign products.5. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products.Question 42 ReportWhich among the following options best represents the number of domestic cosmetic products that had both the approvals?

To find the number of domestic cosmetic products that had both approvals, we need to analyze the information given.

1. There were equal numbers of domestic and foreign products. This means there were 320/2 = 160 domestic products and 160 foreign products.

2. Half of the domestic products were FDA approved cosmetic products. This means there were 160/2 = 80 FDA approved cosmetic products that were domestic.

3. 60 domestic products had both the approvals. These could be either cosmetic or nutrition products.

4. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products. This means there were 200 - 70 = 130 FDA approved domestic products. Out of these, 120 were cosmetic products.

From points 2 and 3, we know that 80 domestic products were FDA approved cosmetic products and 60 domestic products had both approvals. Therefore, the number of domestic cosmetic products that had both approvals is the intersection of these two sets.

So, the number of domestic cosmetic products that had both approvals is 60.