एक अप्रामाणिक व्यापारी ग्राहकांना म्हणतो की तो आपला माल खरेदी किंमतीवर विकतो, परंतु तो खोटे वजन वापरतो आणि 12.5% नफा म्हणून मिळवतो. 1 किलो वजन करण्यासाठी तो किती ग्रॅम वजन वापरतो?

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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  1. 900 ग्रॅम
  2. 880.5 ग्रॅम
  3. 850 ग्रॅम
  4. 888.8 ग्रॅम

Answer (Detailed Solution Below)

Option 4 : 888.8 ग्रॅम
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Detailed Solution

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दिलेल्याप्रमाणे:

एक अप्रामाणिक व्यापारी ग्राहकांना म्हणतो की तो आपला माल खरेदी किंमतीवर विकतो, परंतु तो खोटे वजन वापरतो आणि 12.5% ​​नफा म्हणून मिळवतो.

वापरलेले सूत्र:

नफा % = [(त्रुटी)/(खरे मूल्य – त्रुटी)] × 100

गणना:

सूत्रानुसार,

12.5 % = [त्रुटी/(1000 – त्रुटी)] × 100

⇒ 1/8 = [त्रुटी/(1000 – त्रुटी)]

⇒ 8 त्रुटी = (1000 – त्रुटी)

⇒ 8 त्रुटी + त्रुटी = 1000

⇒ 9 त्रुटी = 1000

त्रुटी = 1000/9

तर, व्यापारी 1000 - 1000/9 देतो

⇒ [9(1000) - 1000]/9

⇒ (9000 - 1000)/9

⇒ 8000/9

⇒ 888.8 ग्रॅम

∴ तो 1 किलो वजन करण्यासाठी 888.8 ग्रॅम वजन वापरतो.

Shortcut Trick

आपल्याला 12.5% ​​= 1/8 माहित आहे

तर, व्यापारी 9 एकक ऐवजी फक्त 8 एकक वापरतो (खोट्या वजनाने 12.5% नफा म्हणून)

तर, 9 एकक → 1000 ग्रॅम

तर, 8 एकक → 1000/9 × 8 = 888.8 ग्रॅम

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