एक दुकानदार त्याच्या वस्तूंवर खरेदी किमतीच्या 30% जास्त किंमत चिन्हांकित करतो आणि चिन्हांकित किमतीवर 10% सूट देतो. 6.5% अधिक नफा मिळविण्यासाठी, त्याने चिन्हांकित किमतीवर किती टक्के सूट द्यावी?

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SSC CGL 2020 Tier-I Official Paper 3 (Held On : 13 Aug 2021 Shift 3)
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  1. 5
  2. 4
  3. 6
  4. 5.5

Answer (Detailed Solution Below)

Option 1 : 5
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Detailed Solution

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दिलेल्यानुसार:

वस्तूंवरील चिन्हांकित टक्केवारी = 30%

सवलत टक्केवारी = 10%

वापरण्यात आलेले सूत्र:

विक्री किंमत = खरेदी किंमत + नफा

नफा टक्के = नफा/खरेदी किंमत × 100

सवलत = चिन्हांकित किंमत - विक्री किंमत 

सवलत टक्के = सवलत /चिन्हांकित किंमत × 100 

गणना:

खरेदी किंमत = 100a मानू

चिन्हांकित किंमत = 100a + 100a × 30/100 = 130a 

सवलतीनंतर विक्री किंमत = 130a - 130a × 10/100 

⇒ 117a 

6.5% अधिक नफ्यासाठी विक्री किंमत = 117a + 100a × 6.5/100 

⇒ 117a + 6.5a = 123.5a 

∴ नवीन सवलत टक्के = (130a -123.5a)/130 × 100 

⇒ 5%

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