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In a survey of a village, it is found that 35% of people like Tea, 49% people like Coffee and 23% like neither Tea nor Coffee. If the number of people who like both tea and coffee is 77, then, find the total number of people in the village who participated in the survey?

In a survey of a village, it is found that 35% of people like Tea, 49% people like Coffee and 23% like neither Tea nor Coffee. If the number of people who like both tea and coffee is 77, then, find the total number of people in the village who participated in the survey? Correct Answer 1100

Given:

People who like tea = 35%

People who like coffee = 49%

People who like neither tea nor coffee = 23%

The number of person who like both tea and coffee = 77

Concept:

Venn Diagram

Calculation:

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Suppose the total number of person who like both tea and coffee is x%.

Therefore, number of person who like only tea = (35 – x)%

Number of person who like only coffee = (49 – x)%

Number of person who like neither tea nor coffee = 23%

According to question –

⇒ (35 – x)% + x% + (49 – x)% + 23% = 100%

⇒ (107 – x)% = 100%

⇒ x = (107- 100)%

⇒ x = 7%
According to question –

⇒ 7% = 77

⇒ 1% = 11

⇒ 100% = 1,100

∴ The total number of people in the village participated in the survey = 1,100

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