Question

In a survey, it was found that the ratio of people who liked Arithmetic and Algebra is 9:8.
If 25% liked the both, 80 liked none of these and 20% liked arithmetic only, find the total number of people participated in the survey.​

Answer 1

Gɪᴠᴇɴ:

• The ratio who like tea and coffee ➝ 9:8
• Liked Tea and Coffee ➝ 25%
• Liked None of these ➝ 80
• Likes Tea only ➝ 20%

Fɪɴᴅ:

• The number of people participated in Survey.

Sᴏʟᴜᴛɪᴏɴ:

• Percentage of people who liked tea = Percentage who liked both tea and coffee + percentage who liked only tea = 20% + 25% = 45%

• So, by comparing with the ratio, we can say that:

☆ Tea: Coffee = 9:8

☆ So, 9 units = 45%

☆ So, 8 units = 40%

• So, the percentage of people who liked coffee = 40%

៚ Therefore, the percentage of people who

liked only coffee = 40% - 25% = 15%

• So, the percentage of people who liked tea or coffee or both = 15% + 25% + 20% = 60%

• So, the percentage of people who didn't like anything = 40%

We Can Write as -

➤ 40% = 80 (Given in the question as liking none of these)

➤ So, 100% (the total) = 200

• Hence, the number of people participated in survey is 200.