If 36 persons can finish 50% of work in 12 days. In how many days 72 person can finish the complete work?

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CUET General Test 6th Oct 2022 Official Paper
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  1. 6
  2. 3
  3. 9
  4. 12

Answer (Detailed Solution Below)

Option 4 : 12
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Detailed Solution

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Concept used:

(M1 × D1)/W1 = (M2 × D2)/W2

Where,

M1 = First man

D1 = First day

W1 = First work

M2 = Second man

D2 = Second day

W2 = Second work

Calculation:

According to the question:

M1 = 36

D1 = 12

W1 = 50% = 1/2

M2 = 72

D2 = x days

W2 = 50% = 1/2

M1 × D1 = M2 × D2

⇒ (36 × 12)/1/2 = (72 × x)

⇒ x = (36 × 24)/72 = 12 days

∴ The required answer will be 12 days.

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