5/6 of a number is 675, find the 9/20 of the same number?

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UP Police SI (दरोगा) Official PYP (Held On: 12 Nov 2021 Shift 3)
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  1. 363.3
  2. 365.5
  3. 364.5
  4. 362.3

Answer (Detailed Solution Below)

Option 3 : 364.5
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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20 Questions 50 Marks 10 Mins

Detailed Solution

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Given:

5/6 of a number = 675

Find 9/20 of the same number.

Formula Used:

Let the number be N.

From the given, we know:

N × (5/6) = 675

To find the number, N = 675 ÷ (5/6)

Then, calculate 9/20 of N: (9/20) × N

Calculation:

Step 1: Solve for N:

⇒ N = 675 ÷ (5/6)

⇒ N = 675 × (6/5)

⇒ N = 135 × 6

⇒ N = 810

Step 2: Find 9/20 of N:

⇒ (9/20) × N

⇒ (9/20) × 810

⇒ 9 × 810 ÷ 20

⇒ 7290 ÷ 20

⇒ 364.5

∴ 9/20 of the number is 364.5.

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