Math, asked by ayushi19jun00, 10 months ago

Directions (Q.1 -Q.5): Read the information given below and answer the questions that follow.
800 tourists visited Delhi, out of them 60% visited India Gate. Tourists who visited Red Fort were equal to the total of
those who visited the India Gate and either Red Fort or Akshardham Temple, but not both. The numbers of tourists visiting
Red Fort and Akshardham Temple are same. Numbers of tourists visiting only Akshardham Temple and only India Gate
were 140 and 190 respectively, Number of tourists who visited all the three places were 1/3rd of those who went to view
India Gate.
How many tourists visited Red Fort?
(a) 480
(b) 410
©
130
d) 140​

Answers

Answered by amitnrw
1

Given : Data of tourist Visiting Data

To find : number of tourists who visited Red Fort

Solution:

Total Tourist = 800

India Gate = (60/100) 800 = 480

Visiting only Akshardham  = 140

Red Fort R = I ∩ R   + I ∩ A -  2(I  ∩ R ∩ A)

=> I ∩ R   + I ∩ A = R + 2(I  ∩ R ∩ A)

only India Gate = 190

All three places I  ∩ R ∩ A = 480/3 = 160

Only India Gate = I - I ∩ R  - I ∩ A + (I  ∩ R ∩ A)

= I -  (R +  2(I  ∩ R ∩ A)) + (I  ∩ R ∩ A)

=> 190 = 480 - (R + 2 * 160) + 160

=> -450 = -(R + 320)

=> R = 130

Tourists visited Red Fort = 130

All three places = 160

Some mistake in Data

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