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
Similar Practice Questions
A customer could not decide between
A customer could not decide between a discount of 40% or two successive discounts of...
A departmental store marked up the price of an electronic gadget by 60% above its cost price.
A departmental store marked up the price of an electronic gadget by 60% above its...
The marked price of a fan is ₹ 1,680
The marked price of a fan is ₹ 1,680 and it is sold for ₹...
A seller gives trade discounts of 10%
A seller gives trade discounts of 10% and 20% on the purchase of an item...
Rashmi buys 34 mobile stands for ₹6,800.
Rashmi buys 34 mobile stands for ₹6,800. Now, she decides to start a small business...
Successive discounts of 20%, 10% and 5% are equal to a single discount of:
Successive discounts of 20%, 10% and 5% are equal to a single discount of: 20%,...
A mobile phone was sold for Rs. 12, 600 after allowing a 10% discount on the marked price.
A mobile phone was sold for Rs. 12, 600 after allowing a 10% discount on...