In a hotel,60 % of people had vegetarian lunc | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $V$ be the set of people who had vegetarian lunch and $N$ be the set of people who had non-vegetarian lunch.Given:$P(V) = 60 \%$$P(N) = 30 \%$

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(B) Let $V$ be the set of people who had vegetarian lunch and $N$ be the set of people who had non-vegetarian lunch.Given:$P(V) = 60 \%$$P(N) = 30 \%$$P(V \cap N) = 15 \%$Using the principle of inclusion-exclusion,the percentage of people who had at least one type of lunch is:$P(V \cup N) = P(V) + P(N) - P(V \cap N)$$P(V \cup N) = 60 \% + 30 \% - 15 \% = 75 \%$Therefore,the percentage of people who did not have either type of lunch is:$100 \% - 75 \% = 25 \%$Given the total number of people is $96$,the number of people who did not have either type of lunch is:$25 \% 	ext{ of } 96 = \frac{25}{100} 	imes 96 = \frac{1}{4} 	imes 96 = 24$

In a hotel,$60 \%$ of people had vegetarian lunch,$30 \%$ had non-vegetarian lunch,and $15 \%$ had both types of lunch. If $96$ people were present,how many did not have either type of lunch?

Similar Questions

Two numbers are $50 \%$ and $80 \%$ less than a third number. By what percentage must the second number be increased to make it equal to the first number?

Two numbers are less than a third number by $30 \%$ and $37 \%$,respectively. How much per cent is the second number less than the first?

Fresh fruits contain $68 \%$ water and dry fruits contain $20 \%$ water. How much dry fruit can be obtained from $100 \,kg$ of fresh fruits?

Sonu invested $10 \%$ more than Mona. Mona invested $10 \%$ less than Raghu. If the total sum of their investments is ₹$5,780$,how much amount did Raghu invest?

Twelve percent of Kaushal's monthly salary is equal to sixteen percent of Nandini's monthly salary. Suresh's monthly salary is half that of Nandini's monthly salary. If Suresh's annual salary is $Rs$ $1.08$ Lakhs,what is Kaushal's monthly salary?

Vedclass Test Series

Exam Paper Generator

Online Exam Module