- 15
- 12.5
- 20
- 10
Answer (Detailed Solution Below)
Option 2 : 12.5
Free
15 Questions 15 Marks 8 Mins
दिया गया है कि:
25 वस्तुओं पर लाभ = 25%
शेष 75 वस्तुओं पर हानि = 25%
प्रयुक्त सूत्र:
हानि% = [1 – (विक्रय मूल्य/क्रय मूल्य)] × 100
गणना:
माना कि एक वस्तु का क्रय मूल्य = 1 रुपये
100 वस्तुओं का क्रय मूल्य = 100 रुपये
25 वस्तुओं का क्रय मूल्य = 25 रुपये
25 वस्तुओं का 25% के लाभ पर विक्रय मूल्य = 25 × (5/4)
शेष 75 वस्तुओं का विक्रय मूल्य = 75 रुपये
75 वस्तुओं का 25% की हानि पर विक्रय मूल्य = 75 × (3/4)
⇒ 100 वस्तुओं का विक्रय मूल्य = 25 × (5/4) + 75 × (3/4)
⇒ हानि% = 100 – (450/4) = -12.5% जहाँ (- चिह्न) हानि को दर्शाता है
∴ हानि% = 12.5
माना कि एक वस्तु का क्रय मूल्य = 1 रुपये
100 वस्तुओं का क्रय मूल्य = 100 रुपये
प्रश्न के अनुसार,
100 में से, 25 25% लाभ पर बेचे जाते हैं
⇒ विक्रय मूल्य = 25 × (100 + 25)/100
⇒ रु. 31.25
शेष 100 - 25 = 75 वस्तु
75 25% हानि पर बेचे जाते हैं
⇒ 75 × (100 - 25)/100
⇒ 56.25
कुल विक्रय मूल्य = 31.25 + 56.25 = 87.5
हानि% = (100 - 87.5)× 100/100 = 12.5%
∴ हानि% 12.5 है।
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