Ashok and Anil undertake to do a piece of work for ₹4,500. Ashok alone could do the work in the 8 days and Anil in 12 days. With the assistance of Amar, they finished the work in 4 days. What is the share of Amar?

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 1)
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  1. ₹1,500
  2. ₹750
  3. ₹2,250
  4. ₹2,500

Answer (Detailed Solution Below)

Option 2 : ₹750
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Detailed Solution

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Given:-

Ashok alone can do the work in 8 days.

Anil alone can do the work in 12 days.

Formula used:- 

Work = Time × Efficiency

Calculations:- 

LCM of (8, 12) = 24

Let the total work be 24

Efficiency of Ashok = 24/8 = 3

Efficiency of anil = 24/12 = 2

With the assistance of Amer, they finished the work in 4 days.

⇒ Efficiency of Ashok, Anil, and Amer is 24/4 = 6

⇒ Ashok + Anil + Amer = 6

⇒ Amer = 6 – 2 – 3 = 1

Their efficiency ratio is Ashok: Anil: Amer = 3: 2: 1

⇒ Share of Amer = (1/6) × 4500 = 750

∴ The share of Amer is 750 Rs.
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