A, B आणि C हे अनुक्रमे 8, 10 आणि 12 दिवसांत एक काम करू शकतात. एकत्र काम पूर्ण केल्यानंतर त्यांना 5,550 रुपये मिळाले. या मिळालेल्या रकमेत B चा वाटा (रुपयांत) किती आहे?

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SSC CGL 2021 Tier-I (Held On : 12 April 2022 Shift 1)
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  1. 1,800
  2. 1,696
  3. 1,500
  4. 1,850

Answer (Detailed Solution Below)

Option 1 : 1,800
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दिलेल्याप्रमाणे:

A, B आणि C हे अनुक्रमे 8, 10 आणि 12 दिवसांत एक काम करू शकतात.

मिळालेली एकूण रक्कम = 5550 रुपये. 

संकल्पना:

कार्यक्षमता किंवा वेतन गुणोत्तर ∝ 1/ घेतलेला वेळ

गणना:

A, B आणि C हे अनुक्रमे 8, 10 आणि 12 दिवसांत एक काम करू शकतात.

गुणोत्तर = 8 : 10 : 12

A, B, आणि C चे कार्यक्षमता गुणोत्तर = 1/8 : 1/10 : 1/12

= 15 : 12 : 10

तर, त्यांचे वेतन गुणोत्तर = 15 : 12 : 10

B चा वाटा = (12/37) × 5550 = 1800 रुपये. 

∴ मिळालेल्या रकमेत B चा वाटा 1800 रुपये आहे 

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