Question
Download Solution PDFअंकिता ने अपनी घड़ी 5% हानि पर बेची। यदि उसने इसे 300 रुपये अधिक में बेचा होता, तो उसे 5% का लाभ होता। घड़ी का विक्रय मूल्य ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
सबसे पहले 5% की हानि पर बेची गई।
दूसरी बार 5% लाभ पर बेची गई।
प्रयुक्त सूत्र:
S.P = (100 + P%)/100 * CP
S.P = (100 - L%)/100 * CP
जहाँ, S.P = विक्रय मूल्य, C.P = क्रय मूल्य, P = लाभ, L = हानि
गणना:
सबसे पहले 5% की हानि पर बेची गई
तब, S.P1 = (100 - 5%)/100 * CP
⇒ S.P1 = 95/100 × C.P
दूसरी बार 5% लाभ पर बेची गई
तब, S.P2 = (100 + P%)/100 * CP
⇒ S.P2 = 105/100 × C.P
प्रश्नानुसार:
S.P2 - S.P1 = (105/100 × C.P) - (95/100 × C.P)
⇒ S.P1 - S.P2 = 105% C.P - 95% C.P
⇒ 300 = 10% × C.P
⇒ C.P = [(300/10) × 100] = 3000 रुपये
S.P = 95/100 × 3000
⇒ S.P = 2850
∴ विक्रय मूल्य 2850 रूपये है।
Shortcut Trick
105% - 95% = 300
⇒ 10% = 300
⇒ 1% = 30
⇒ 100% = 3000
⇒ 95% = 2850
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