अमन ने दो मकान 1.995 लाख रुपये प्रति मकान की दर से बेचे। एक मकान पर उसे 5% का लाभ हुआ तथा दूसरे मकान पर उसे 5% की हानि हुई। पूरे व्यापर में उसका लाभ या हानि प्रतिशत कितना है?

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RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 3)
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  1. 25% हानि
  2. 0.25% हानि
  3. 0.25% लाभ
  4. 2.5% हानि

Answer (Detailed Solution Below)

Option 2 : 0.25% हानि
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दिया गया है:

प्रत्येक मकान का विक्रय मूल्य = 1.995 लाख रुपये 

पहले घर पर लाभ = 5%

दूसरे घर पर हानि = 5%

प्रयुक्त सूत्र:

लागत मूल्य (CP) = विक्रय मूल्य (SP) / (1 + लाभ%)

लागत मूल्य (CP) = विक्रय मूल्य (SP) / (1 - हानि%)

हानि प्रतिशत = (कुल हानि / कुल CP) × 100

गणना:

माना पहले मकान का क्रय मूल्य CP1 है और दूसरे मकान का क्रय मूल्य CP2 है।

पहले घर के लिए: विक्रय मूल्य = 1.995 लाख रुपये और लाभ = 5%

CP1 = CP / (1 + लाभ%)

CP1 = 1.995 / (1 + 5/100) = 1.995 / 1.05 = 1.9 लाख

दूसरे घर के लिए: विक्रय मूल्य = 1.995 रुपये लाख और हानि = 5%

CP2 = SP / (1 - Loss%)

CP2 = 1.995 / (1 - 5/100) = 1.995 / 0.95 = 2.1 लाख

कुल CP = CP1 + CP2

कुल CP = 1.9 + 2.1 = 4 लाख

कुल विक्रय मूल्य = 1.995 + 1.995 = 3.99 लाख

कुल हानि = कुल CP - कुल SP

कुल हानि = 4 - 3.99 = 0.01 लाख

हानि प्रतिशत = (कुल हानि / कुल CP) × 100

हानि प्रतिशत = (0.01 / 4) × 100

हानि प्रतिशत = 0.25%

पूरे लेनदेन में हानि प्रतिशत 0.25% है।

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