एक बेईमान दुकानदार 20 रुपये प्रति किलोग्राम की दर से खरीदे गए आम को 30 रुपये प्रति किलोग्राम की दर पर बेचता है और वह 1 किलोग्राम के स्थान पर  800 ग्राम देता है। दुकानदार का वास्तविक लाभ प्रतिशत है:

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. 75%
  2. 37.5%
  3. 50%
  4. 87.5%

Answer (Detailed Solution Below)

Option 4 : 87.5%
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SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

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दिया गया है:

आम का क्रय मूल्य = 20 रुपये प्रति किलोग्राम

आम का विक्रय मूल्य = 30 रुपये प्रति किलोग्राम

उसके द्वारा की गई बेईमानी 1000 - 800 = 200 ग्राम

प्रयुक्त सूत्र:

लाभ % = (लाभ / क्रय मूल्य) × 100

लाभ = (विक्रय मूल्य – क्रय मूल्य)

गणना:

1000 ग्राम चीनी का क्रय मूल्य = 20 रुपये

1 ग्राम चीनी का क्रय मूल्य = 20/1000

वह केवल 800 ग्राम देता है और ग्राहक के साथ 200 ग्राम की बेईमानी करता है

इसलिए 800 ग्राम चीनी का क्रय मूल्य = (20 × 800)/1000

800 ग्राम चीनी का क्रय मूल्य = 16

चीनी का विक्रय मूल्य = 30

लाभ = 30 - 16 = 14

लाभ % = (लाभ / क्रय मूल्य) × 100

⇒ (14/16) × 100

⇒ 87.5 %

दुकानदार द्वारा अर्जित लाभ 87.5% है।

Shortcut Trick

  क्रय मूल्य विक्रय मूल्य
रुपये 20 30
राशि 800 1000


क्रय मूल्य : विक्रय मूल्य = 20 × 800 : 30 × 1000

क्रय मूल्य : विक्रय मूल्य = 16 : 30 ⇒ P = (30 - 16= 14)

लाभ % = (14/16) × 100 = 87.5%

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