A retailer offers a 6.5% discount on a shirt marked at $1600. Even with he discount the retailer earns a 10% profit. How much did the shirt cost him?
Answers
Answer:
A shopkeeper sells a shirt for ₹384 after giving 20% + 20% discount on MRP and still makes 20% profit.
Let the Maximum Retail Price if the shirt be ₹100
First Discount 20% = 20/100 × 100 = ₹20
Price of the shirt after first discount
= ₹100 – ₹20 = ₹80
Further 20% Discount = 20/100 × 80 = ₹16
Price of the shirt after second 20% discount
= ₹80 – ₹16 = ₹64
Now if the shirt sold for ₹64 then MRP is ₹100
If the shirt sold for ₹384 then the MRP will be
= 100/64 × 384
= 100 × 6
= ₹600
The MRP of the shirt is ₹600
Let the cost price of the short be ₹100
If cost price of shirt is ₹100 and sold at 20% profit then its sell price =₹100 + ₹20 = ₹120
When the sell price of the shirt is ₹120 then its cost price is ₹100
If the sell price of the shirt is ₹384 then it's cost price will be
= 100/120 × 384
= 10 × 32
= ₹320
Thus the cost price of the shirt is ₹320
Answer the MRP of the shirt is ₹600 and the cost price of the shirt is ₹320
Answer:
1360
Step-by-step explanation:
Profit = Selling Price - Cost
Selling Price = 1496 (after discount)
Profit = 10% of cost as per the question
10% of Cost = 1496 - Cost
(10% of Cost + Cost) = 1496
Cost (10%+1) = 1496
Cost = 1496/(10% + 1)