The Venn diagram shows the number of people who bought ice - cream and drinks in a theatre. Ice - cream is sold for INR 3 and drinks are sold for INR 2. A total of INR 262 is spent. How many  people bought both a drink and an ice - cream?

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  1. 30
  2. 40
  3. 44
  4. 28

Answer (Detailed Solution Below)

Option 1 : 30
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Detailed Solution

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Given:

Ice - cream is sold for INR 3

Drinks are sold for INR 2.

A total of INR 262 is spent.

let 'p' be total number of people who spent on both ice cream and drinks.

Total spend on both ice cream and drinks = (3 + 2) p ⇒ 5p

So, according to the given Venn diagram, it can be concluded that:-

qImage66d1cd3ed08b42a3642718cf

Total spent = Total spent on ice cream + Total spent on drinks + Total spent on both ice cream and drinks

262 = (16 × 3) + (32 × 2) + 5p

262 = 48 + 64 + 5p

150 = 5p

p = 30

Thus, the total number of people who spent on both ice cream and drinks is 30.

Hence, "Option 1" is the correct answer.

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