In a town 86% of the people speak Tamil, Ho% speak English and Jo) speake Hindi. Also za") speak Tamil and English, 13t. Speak tamil and Hindi and 10%. of percentage speak English and Hindi, find the people who can speak all the three languages.
Answers
Answer:
hope this will be helpful.
please mark me as brainlist
Step-by-step explanation:
Let T, E and H be the people speaking Tamil, English and Hindi respectively.
so we are given
Total percentage of people = 100%
Percentage of people speaking Tamil = n(T) = 85%
Percentage of people speaking English = n(E) = 40%
Percentage of people speaking Hindi = n(H) = 20 %
Percentage of people speaking Tamil and Hindi = n(T ⋂ H) = 13%
Percentage of people speaking English and Hindi = n(E ⋂ H) = 10%
Percentage of people speaking English and Tamil = n(E ⋂ T) = 32%
Percentage of people speaking Tamil, English and Hindi = n( T ⋂ E ⋂ H)
Assume that Percentage of people speaking Tamil, English and Hindi be P.
We can solve this by using Venn diagram,
The above Venn diagram gives the following,
People speaking all the three language = P
People speaking English and Hindi and no tamil = (E ⋂ H ⋂ T’) = 10 – P
People speaking Tamil and Hindi and no English = ( T ⋂ H ⋂ E’) = 13 – P
People speaking English and Tamil and no Hindi = ( T ⋂ E ⋂ H’) = 32 – P
Only Hindi speaking people = H’ = P – 3
Only English speaking people = E’ = P – 2
Only Tamil speaking people = T’ = 40 + P
We know that adding all the region of the Venn diagram will give the value of total number of element involved.
So, using all the data we have we can find the following
Total people = T’ + H’ + E’ + (E ⋂ H ⋂ T’) + (T ⋂ H ⋂ E’) + (T ⋂ E ⋂ H’) + P
⇒100 = (40 + P) + (P – 3) + (P – 2) + (10 – P) + (13 – P) + (32 – P) + P
⇒ 100 = 40 + P + P – 3 + P – 2 + 10 – P + 13 – P + P
Eliminating elements of opposite signs
⇒100 = 90 + P
⇒P = 100 – 90
⇒P = 10
∴ From the above its clear that only 10% people can speak all the three language.
PREVIOUS
NEXT
Try our Mini Course
Master Important Topics in 7 Days
Learn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
VIEW ALL COURSES
RELATED QUESTIONS :
In a school of 40Tamil Nadu Board - Math
Verify n(A Tamil Nadu Board - Math
In a village of 1Tamil Nadu Board - Math
Verify n(A Tamil Nadu Board - Math
An advertising agTamil Nadu Board - Math
For any three setTamil Nadu Board - Math
In a college, 60 Tamil Nadu Board - Math
In a town 85% of Tamil Nadu Board - Math