In the number 455 is divided in the ratio of 4 ∶ 3, then the two parts of 455 shall be respectively?

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UGC NET Paper 1: Held on 22th Oct 2022 Shift 2
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  1. 260, 195 
  2. 250, 205
  3. 265, 190
  4. 255, 200

Answer (Detailed Solution Below)

Option 1 : 260, 195 
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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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Solution:

To divide 455 in the ratio of 4:3, we need to find the two parts that add up to 455 and are in the ratio of 4:3.

Let the two parts be 4x and 3x. Then, the sum of the two parts is 4x + 3x = 7x, which should be equal to 455.

⇒ 7x = 455
⇒ x = 65

Therefore, the two parts are 4x = 4 × 65 = 260 and 3x = 3 × 65 = 195.

Hence, the two parts are 260 and 195.

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