एक विक्रेता एका विशिष्ट संख्येत 8  केळी 5 ला विकत घेतो आणि त्यातील 5 केळी 8 ला विकतो. तर त्याच्या नफ्याची टक्केवारी किती असेल?

This question was previously asked in
RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 2).
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  1. 156%
  2. 48%
  3. 40%
  4. 144%

Answer (Detailed Solution Below)

Option 1 : 156%
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Detailed Solution

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दिलेल्याप्रमाणे

केळीचे 8 नग 5 रुपयांना विकत घेतले जातात

आणि, 5 नगांना 8 रुपयांना विकले

वापरलेले सूत्र:

नफा = वि.किं – ख.किं

नफा % = (नफा/ख.किं) × 100

गणना

8 तुकड्यांचे ख.किं = 5 रुपये ---- (1)

5 तुकड्यांचा वि.किं = 8 रुपये ---- (2)

आता, पहिल्या समीकरणाला 5 ने आणि दुसरे समीकरण 8 ने गुणा

40 तुकड्यांचे ख.किं = 25 रुपये

40 तुकड्यांचा वि.किं = 64 रुपये

नफा = विक्री किंमत – खरेदी किंमत

⇒ नफा = 64 – 25 = 39 रुपये

नफा% = (नफा/किंमत किंमत) × 100

⇒ नफा% = (39/25) × 100 = 156%

∴ नफ्याची टक्केवारी 156% आहे

Shortcut Trick

8 तुकड्यांचे ख.किं = 5 रुपये

⇒ 1 तुकड्याचा ख.किं = 5/8 रुपये

5 तुकड्यांचा वि.किं = 8 रुपये

⇒ 1 तुकड्याचा वि.किं = 8/5 रुपये

नफा = वि.किं – ख.किं

⇒ 8/5 – 5/8 = 39/40

नफा % = (नफा/ख.किं) × 100

⇒ {(39/40)/(5/8)} × 100

⇒ {(39 × 8)/(40 × 5)} × 100

⇒ 39 × 4 = 156%

∴ नफ्याची टक्केवारी 156% आहे

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