एक घोड़े को 20% के लाभ पर 60,000 रुपये में बेचा गया था। 30% लाभ प्राप्त करने के लिए उसे किस मूल्य पर बेचना चाहिए था?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 4)
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  1. 64,000 रुपये
  2. 65,000 रुपये
  3. 50,000 रुपये
  4. 55,000 रुपये

Answer (Detailed Solution Below)

Option 2 : 65,000 रुपये
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दिया गया है:

एक घोड़े को 60,000 रुपये में बेचने पर एक व्यक्ति को 20% का लाभ होता है।

प्रयुक्त सूत्र:

विक्रय मूल्य = क्रय मूल्य(100+लाभ%)/100

गणना:

माना क्रय मूल्य = 100x

घोड़े को 20% लाभ पर बेचने पर, विक्रय मूल्य होगा:

विक्रय मूल्य = 100x(100+20)/100 = 120x

प्रश्नानुसार:

⇒ 120x = 60000

⇒ x = 500

⇒ क्रय मूल्य = 100x = 50000

अब, 30% लाभ प्राप्त करने के लिए,

⇒ विक्रय मूल्य = 50000(100+30)/100 = 65000

∴ सही उत्तर 65,000 रुपये है।

Shortcut Trick

हम जानते हैं 20% = 1/5, इसलिए क्रय मूल्य = 5 इकाई और विक्रय मूल्य = 6 इकाई

तो, घोड़े का क्रय मूल्य = 60000 × 5/6 = 50000

30% लाभ प्राप्त करने के लिए आवश्यक विक्रय मूल्य = 50000 × 130/100 = 65,000 रुपये

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