A आणि B मिळून 50 दिवसांत एक कार्य करू शकतात. जर A हा B पेक्षा 40% कमी कार्यक्षम असेल, तर एकटा A हा 60% कार्य किती दिवसात पूर्ण करू शकेल?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 4)
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  1. 70
  2. 110
  3. 80
  4. 105

Answer (Detailed Solution Below)

Option 3 : 80
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दिलेल्याप्रमाणे:

A आणि B मिळून 50 दिवसांत एक कार्य करू शकतात.

A हा B पेक्षा 40% कमी कार्यक्षम आहे

संकल्पना:

एकूण कार्य = कामगारांची कार्यक्षमता × त्यांना लागणारा वेळ

गणना:

B ची कार्यक्षमता 5a समजा

म्हणून, A ची कार्यक्षमता = 5a × 60%

⇒ 3a

म्हणून, त्यांची एकूण कार्यक्षमता = 8a

एकूण कार्य = 8a × 50

⇒ 400a

आता,

कार्याचे 60% = 400a × 60%

⇒ 240a

आता,

आवश्यक वेळ = 240a/3a

⇒ 80 दिवस

∴ एकटा A हा 60% कार्य 80 दिवसात पूर्ण करू शकेल.

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