A can do a certain job in 120 days. B is 60% more efficient than A. To do the same job B alone would take how many days?

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  1. 70 days
  2. 80 days
  3. 10 days
  4. 75 days

Answer (Detailed Solution Below)

Option 4 : 75 days
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सामान्य हिंदी सेक्शनल टेस्ट 1
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Detailed Solution

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Given:

A can do a certain job in 120 days.

B is 60% more efficient than A.

Formula used:

Efficiency of B = Efficiency of A × (1 + 60/100)

Time taken by B = Time taken by A / Efficiency of B

Calculation:

Efficiency of A = 1 job/120 days

Efficiency of B = (1 job/120 days) × (1 + 60/100)

⇒ Efficiency of B = (1 job/120 days) × 1.6

⇒ Efficiency of B = 1 job/75 days

⇒ Time taken by B = 75 days

∴ The correct answer is option 4.

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