A हा 7 दिवसात 20% काम करू शकतो आणि B जर त्यांने एकट्याने काम केले असेल तर तो 7 दिवसात 25% काम करू शकतो. त्यांनी एकत्र काम केल्यास ते 7 दिवसात किती काम (टक्केवारीत) पूर्ण करू शकतात?

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 4)
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  1. 38%
  2. 52%
  3. 56%
  4. 45%

Answer (Detailed Solution Below)

Option 4 : 45%
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दिलेले आहे:

A हा 20% काम करू शकतो = 7 दिवस

B हा 25% काम करू शकतो = 7 दिवस

वापरलेले सूत्र:

एकूण काम = कार्यक्षमता × वेळ

गणना:

A हा 20% काम करू शकतो  = 7 दिवस

A हा 100% काम करू शकतो  = 7 × 5 = 35 दिवस

B हा 25% काम करू शकतो  = 7 दिवस

B हा 100% काम करू शकतो  = 7 × 4 = 28 दिवस

प्रश्नानुसार:

⇒ A × 35 = B × 28

⇒ A/B = 4/5

एकूण काम = A × 35 = 4 × 35 = 140 एकक

दोघे 7 दिवस एकत्र काम करतात = (5 + 4) × 7

⇒ 9 × 7 = 63 एकक

टक्केवारीचे काम 7 दिवसात पूर्ण = (63 × 100)/140

⇒ 9 × 5 = 45%

∴ योग्य उत्तर 45% आहे.

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