If 6/7th of 8/5th of a number is 192, then 3/4th of the number is __________.

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Chandigarh Police Constable Official Paper (Held On: 23 Jul, 2023)
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  1. 105
  2. 77
  3. 80
  4. 36

Answer (Detailed Solution Below)

Option 1 : 105
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Detailed Solution

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Given:

6/7th of 8/5th of a number = 192

Calculation:

Let the number be x. The equation is:

(6/7) × (8/5) × x = 192

⇒ (48/35) × x = 192

⇒ x = 192 × (35/48)

⇒ x = 140

Now, 3/4th of x:

(3/4) × x = (3/4) × 140 = 105

∴ The correct answer is option (1).

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