A shopkeeper fixes the marked price of an item 110%
A shopkeeper fixes the marked price of an item 110% above its cost price. What percentage of discount on marked price should be allowed to gain 26%?
एक दुकानदार किसी वस्तु का अंकित मूल्य उसके क्रय मूल्य से 110% अधिक निर्धारित करता है। यदि उसे 26% लाभ कमाना हो, तो अंकित मूल्य पर कितने प्रतिशत की छूट देनी चाहिए?
Detailed Solution & Logic
Correct Answer:
40%
Let the Cost Price (CP) = 100
Marked Price is 110% above CP.
So,
Marked Price = $100+110=210$
To gain 26%, Selling Price should be:
$100+26=126$
Let discount be $x%$
Then,
$210\left(1-\frac{x}{100}\right)=126$
$\left(1-\frac{x}{100}\right)=\frac{126}{210}$
$\left(1-\frac{x}{100}\right)=0.6$
$\frac{x}{100}=0.4$
$x=40$
Final Answer: 40%
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