The selling price of 16 books is equal to the cost price of 8 books. Find the loss or gain percentage.
The selling price of 16 books is equal to the cost price of 8 books. Find the loss or gain percentage.
16 पुस्तकों का विक्रय मूल्य 8 पुस्तकों के क्रय मूल्य के बराबर है। लाभ या हानि प्रतिशत ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
50% loss/ 50% हानि
मान लीजिए एक पुस्तक का क्रय मूल्य = ₹C और विक्रय मूल्य = ₹S
दिया है:
16 पुस्तकों का विक्रय मूल्य = 8 पुस्तकों का क्रय मूल्य
$16S = 8C$
$S = \frac{8C}{16} = \frac{C}{2}$
अर्थात विक्रय मूल्य = क्रय मूल्य का आधा है ⇒ हानि हुई
हानि प्रतिशत:
$\frac{C - S}{C} \times 100 = \frac{C - \frac{C}{2}}{C} \times 100 = \frac{\frac{C}{2}}{C} \times 100 = 50%$
Final Answer: 50% हानि
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