A retailer allows a trade discount of 25%
A retailer allows a trade discount of 25% and a further discount of 8% on the marked price of the products, if paid along with his shop’s membership card. He makes a net profit of 15% on the cost. By what percentage are the products marked up by him?
एक खुदरा विक्रेता अपने उत्पादों के अंकित मूल्य पर 25% की व्यापार छूट और 8% की अतिरिक्त छूट देता है। यदि भुगतान उसकी दुकान के सदस्यता कार्ड के साथ किया जाता है। वह लागत पर 15% का निवल लाभ अर्जित करता है। उसके द्वारा उत्पादों का अंकित मूल्य कितने प्रतिशत अधिक रखा गया है?
Detailed Solution & Logic
\(66\frac{2}{3}\) %
Let the cost price (CP) } = 100
Net profit = 15% Selling Price (SP) = 115
Successive discounts = 25% and 8%
Net discount factor = $ (1 - 0.25)(1 - 0.08) = 0.75 \times 0.92 = 0.69 $
So, SP = $ 0.69 \times $ Marked Price (MP)
$ 0.69 \times $ MP = 115 MP = $ \frac{115}{0.69} 166.67 $
Mark up % = $ \frac{\text{MP} - \text{CP}}{\text{CP}} \times 100 $
= $ \frac{166.67 - 100}{100} \times 100 66.67% = 66\frac{2}{3}$%
Answer: $ 66\frac{2}{3}% $
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