Question

In a survey, 60% of the people surveyed liked product A, 45% liked product B, and 15% liked both. What percentage of people surveyed did not like either of the two products?

Option 1: 40%
Option 2: 35%
Option 3: 25%
Option 4: 30%

Answer 1

The percentage of people surveyed who did not like either product is 10%.

Step-by-step explanation:

To find the percentage of people who did not like either of the two products, we need to subtract the percentage of people who liked both products from the total percentage of people surveyed.

First, calculate the percentage of people who liked either product A or product B. This can be done by adding the percentages of people who liked each product and subtracting the percentage of people who liked both.

Percentage of people who liked either A or B = (Percentage of people who liked A) + (Percentage of people who liked B) - (Percentage of people who liked both) = 60% + 45% - 15% = 90%

Next, subtract this percentage from 100% to find the percentage of people who did not like either product:

Percentage of people who did not like either product = 100% - (Percentage of people who liked either A or B) = 100% - 90% = 10%.

Therefore, the percentage of people surveyed who did not like either product is 10%.

Answer 2

To find the percentage of people who did not like either product, subtract the percentage of people who liked both products from the total percentage of people who liked either product.

Step-by-step explanation:

To find the percentage of people who did not like either product, we need to subtract the percentage of people who liked both products from the total percentage of people who liked either product. Let's calculate:

Percentage of people who liked product A = 60%

Percentage of people who liked product B = 45%

Percentage of people who liked both products = 15%

Percentage of people who liked either product = Percentage of people who liked product A + Percentage of people who liked product B - Percentage of people who liked both products

= 60% + 45% - 15%

= 90%

Now, to find the percentage of people who did not like either product, we subtract this percentage from 100%:

Percentage of people who did not like either product = 100% - 90% = 10%

Therefore, the correct option is Option 4: 10%.