Question
Download Solution PDFयदि किसी वस्तु का विक्रय मूल्य 324 रुपये बढ़ जाता है, तो एक दुकानदार को 16% हानि के स्थान पर 20% लाभ होता है। वस्तु का क्रय मूल्य कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
प्रारंभिक हानि = 16%
लाभ = 20%
वस्तु के विक्रय मूल्य में वृद्धि = 324 रुपये
प्रयुक्त सूत्र:
S.P. = [(100 + लाभ%)/100] × C.P.
लाभ% = [(S.P. - C.P.)/C.P.] × 100
जहाँ, C.P. = क्रय मूल्य; S.P. = विक्रय मूल्य
गणना:
माना, क्रय मूल्य = 100x
इसलिए, विक्रय मूल्य = 84x
अंतिम विक्रय मूल्य = 100x × (120/100) = 120x
⇒ 120x - 84x = 324
⇒ 36x = 324
⇒ x = 9
⇒ 100x → 9 × 100 = 900
क्रय मूल्य = 900 रुपये
∴ वस्तु का क्रय मूल्य 900 रुपये है।
Shortcut Trick
माना, क्रय मूल्य 100% है।
प्रारंभिक SP = 84%
अंतिम SP = 120%
दोनों SP में अंतर 324 है।
⇒ 36% = 324
⇒ 1%→ 9
⇒ 100%→ 900
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