A shopkeeper gives a discount of 8% on all his goods and still makes a profit of 15%. If the marked price of an item is ₹250, what is its cost price?
A shopkeeper gives a discount of 8% on all his goods and still makes a profit of 15%. If the marked price of an item is ₹250, what is its cost price?
एक व्यापारी अपने सभी सामानों पर 8% की छूट देता है और फिर भी 15% का लाभ कमाता है। यदि किसी वस्तु पर ₹ 250 अंकित है, तो उसका क्रय मूल्य है :
Detailed Solution & Logic
₹200
Marked Price (MP) = ₹250
Discount = 8%
Step 1: Find Selling Price (SP)
SP = $250 - 8% \text{ of } 250$
$= 250 - 20 = 230$
Step 2: Profit relation
Profit = 15%
So,
$SP = 115%$ of CP
$230 = 1.15 \times CP$
Step 3: Find CP
$CP = \frac{230}{1.15} = 200$
Final Answer: ₹200
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