The daily income of three persons A, B and C is in the ratio of 2 ∶ 5  11 and the income of B is Rs. 291 more than that of A. Find the income of C

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UGC NET Paper 1: Held on 1st Oct 2022 Shift 1
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  1. Rs. 679
  2. Rs. 1,746
  3. Rs. 1,067
  4. Rs. 1,256

Answer (Detailed Solution Below)

Option 3 : Rs. 1,067
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

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Concept Used:

 

Ratio is the relation among two or more numbers, which tells that how much one number is bigger than the others. To solve the questions based on ratio, we use assume a variable for the shared part among quantities.

Explanation:-

Suppose, that the daily income of three persons A, B and C is 2x, 5x and 11x.

Given that the income of B is Rs. 291 more than that of A. So,

⇒ 5x = 2x + 291

⇒ 5x - 2x = 291

⇒ 3x = 291

⇒ x = 97

Now, the income of C,

⇒ 11x = 11 × 97

⇒ 11x = Rs. 1067

So, the income of C is Rs. 1,067.

Hence, the correct option is 3.

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