The amount of money earned on a job is directly proportional to the number of hours worked. If ₹324 is earned in 6 hours, then how much money (in ₹) will be earned in 29 hours of work? 

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SSC GD Constable 2025 Official Paper (Held On: 04 Feb, 2025 Shift 3)
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  1. ₹1,566 
  2. ₹1,655
  3. ₹1,585 
  4. ₹1,676

Answer (Detailed Solution Below)

Option 1 : ₹1,566 
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Detailed Solution

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Given:

Money earned for 6 hours of work = ₹324

Number of hours worked = 29 hours

Formula Used:

Money earned is directly proportional to the number of hours worked.

M = k × H

where M is the money earned, H is the number of hours, and k is the proportionality constant.

Calculation:

First, find the proportionality constant k :

k = M/H

⇒ k = 324/6

⇒ k = 54

Now, calculate the money earned for 29 hours of work:

M = k × H

⇒ M = 54 × 29

⇒ M = 1,566

The amount of money earned in 29 hours is ₹1,566.

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