यदि किसी बिस्तर का विक्रय मूल्य प्रारंभिक मूल्य का 2 गुना है, तो लाभ प्रारंभिक लाभ का 10 गुना है। प्रारंभिक लाभ प्रतिशत (%) ज्ञात कीजिए।

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)
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  1. 12.5
  2. 20
  3. 500
  4. 400

Answer (Detailed Solution Below)

Option 1 : 12.5
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दिया गया है:

बिस्तर का विक्रय मूल्य = प्रारंभिक विक्रय मूल्य का 2 गुना।

लाभ = प्रारंभिक लाभ का 10 गुना।

प्रयुक्त सूत्र:

लाभ प्रतिशत = (लाभ / क्रय मूल्य) × 100

माना प्रारंभिक क्रय मूल्य = C, प्रारंभिक लाभ = P, और प्रारंभिक विक्रय मूल्य = S

विक्रय मूल्य, लाभ और क्रय मूल्य के बीच संबंध: S = C + P

गणना:

नया विक्रय मूल्य = 2 × S

नया लाभ = 10 × P

⇒ S = C + P

⇒ 2 × S = C + 10 × P

S = C + P को 2 × S में प्रतिस्थापित करें:

⇒ 2 × (C + P) = C + 10 × P

⇒ 2C + 2P = C + 10P

⇒ 2C - C = 10P - 2P

⇒ C = 8P

प्रारंभिक लाभ प्रतिशत = (P / C) × 100

⇒ प्रारंभिक लाभ प्रतिशत = (P / 8P) × 100

⇒ प्रारंभिक लाभ प्रतिशत = (1 / 8) × 100

⇒ प्रारंभिक लाभ प्रतिशत = 12.5%

प्रारंभिक लाभ प्रतिशत 12.5% है।

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