Directions : There are 28000 people living in a town, out of which 6500 drink milk only, 5500 drink tea only, 4500 drink coffee only. 3000 drink tea and milk, 5000 drink tea and coffee and 4000 drink milk and coffee. The ratio of people who drink all three beverage and do not drink any beverage is 2 : 3.
निर्देश : एक कस्बे में 28000 लोग रहते हैं, जिनमें से 6500 केवल दूध पीते हैं, 5500 केवल चाय पीते हैं, 4500 केवल कॉफी पीते हैं। 3000 चाय व दूध पीते है, 5000 चाय व कॉफी पीते है और 4000 दूध व कॉफी पीते है। तीनों पेय पदार्थ पीने वाले तथा कोई पेय पदार्थ न पीने वाले लोगों का अनुपात 2 : 3 है।
Number of people who do not drink any beverage.
कोई पेय पदार्थ न पीने वाले लोगों की संख्या बताओ।
Answers
Given : There are 28000 people living in a town, out of which 6500 drink milk only, 5500 drink tea only, 4500 drink coffee only. 3000 drink tea and milk, 5000 drink tea and coffee and 4000 drink milk and coffee.
The ratio of people who drink all three beverage and do not drink any beverage is 2 : 3.
To find : the number of people who drink all three beverage.
Solution:
Total People T = 28000
only Milk = 6500
only Tea = 5500
only coffee = 4500
drink all three beverage = 3A
Do not Drink any = 2A
tea and milk = 3000 => tea & milk only = 3000 - 3A
tea and coffee = 5000 => tea and coffee only = 5000 - 3A
milk and coffee. = 4000 => milk and coffee only = 4000 - 3A
Total = Milk only + tea only + Coffee only + tea & milk only + tea and coffee only + milk and coffee only + drink all three beverage + Do not Drink any
=> 28000 = 6500 + 5500 + 4500 + 3000 - 3A + 5000 - 3A + 4000 - 3A + 3A + 2A
=> 28000 = 28500 - 4A
=> 4A = 500
=> A = 125
=> 3A = 375
number of people who drink all three beverage. = 375
तीनों पेय पदार्थ पीने वाले लोगों की संख्या = 375
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