एक दुकानदार ने 3,600 रुपये में निश्चित संख्या में सेब खरीदे। उसने उनका पांचवां हिस्सा 10% की हानि पर, शेष एक-चौथाई सेब 5% की हानि पर और शेष दो-तिहाई सेब 15% के लाभ पर बेच दिए। कुल मिलाकर 27% का लाभ कमाने के लिए उसे शेष सेब किस कीमत पर (रुपये में) बेचने  चाहिए?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. 1,548
  2. 1,584
  3. 1,845
  4. 1,864

Answer (Detailed Solution Below)

Option 2 : 1,584
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दिया गया​ है:

क्रय मूल्य (C.P) = 3600 रुपये

सेब पर कुल लाभ = 27%

प्रयुक्त संकल्पना:

यदि लाभ P% हुआ तो

विक्रय मूल्य (S.P) = C.P × (100 + P)%

जहां, P = लाभ%

गणना:

माना एक सेब की कीमत = 1 रुपये

सेब की मात्रा = 3600

प्रश्न के अनुसार:

⇒ 3600 × (1/5) × (- 10%) + 2880 × (1/4) × (- 5%) + 2160 × (2/3) × 15% + 720 × (x%) = 3600 × 27%

⇒ - 7200 - 3600 + 21600 + 720x = 3600 × 27

⇒ - 720 - 360 + 2160 + 72x = 360 × 27

⇒ 72 × (- 10 - 5 + 30 + x) = 360 × 27

⇒ 15 + x = 5 × 27

⇒ x = 135 - 15 = 120%

शेष सेब का विक्रय मूल्य = 720 × (100 + 120)%

⇒ 720 × 220% = 1584 रुपये

∴ सही उत्तर 1584 रुपये है।

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