Question
Download Solution PDF22050 रुपये में एक वस्तु को बेचने से होने वाला लाभ, उसी वस्तु को 11025 रुपये में बेचने पर हुई हानि से 25% अधिक है। वस्तु का क्रय मूल्य (रुपये में) ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
विक्रय मूल्य 1 (SP1) = ₹22050
SP1 पर अर्जित लाभ = SP2 पर हुए हानि से 25% अधिक
विक्रय मूल्य 2 (SP2) = ₹11025
प्रयुक्त सूत्र:
लाभ/हानि = विक्रय मूल्य (SP) - क्रय मूल्य (CP)
दिया गया है कि लाभ, हानि से 25% अधिक है, इसलिए:
लाभ = 1.25 × हानि
गणना:
माना क्रय मूल्य (CP) = ₹x
SP1 पर, लाभ = SP1 - CP = ₹22050 - ₹x
SP2 पर, हानि = CP - SP2 = ₹x - ₹11025
दिया गया है, लाभ = 1.25 × हानि
⇒ ₹22050 - ₹x = 1.25 × (₹x - ₹11025)
⇒ ₹22050 - ₹x = ₹1.25x - ₹13781.25
⇒ ₹22050 + ₹13781.25 = ₹1.25x + ₹x
⇒ ₹35831.25 = ₹2.25x
⇒ x = ₹35831.25 ÷ 2.25
⇒ x = ₹15925
∴ वस्तु का क्रय मूल्य ₹15925 है और सही उत्तर विकल्प (2) है।
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