A lady purchased jeans for rupees 900. She wants to sell it at profit of 15 percent , after allowing a discount of 15 percent . What should be the marked price of the jeans?
Answers
after profit 15% then selling price =900+900×15/100
=1035
Main price =?
Let total price of jeans with discount =X
Then,
X - X of 15% =1035
20X-3X =20700
17X =20700
X =1217 appx.
The approximate marked price of the jeans should be Rs. 1217.65
Given : A lady purchased jeans for rupees 900. She wants to sell it at profit of 15 percent , after allowing a discount of 15 percent
To find : The appropriate marked price which will satisfy the given conditions.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the appropriate marked price)
Purchasing price = Rs. 900
Profit percentage = 15%
Profit amount when the profit is of 15% :
= Purchasing price × 15%
= 900 × (15/100)
= Rs. 135
So,
Selling price that gives the lady a 15% profit :
= Purchasing price + Profit amount when the profit is of 15%
= 900 + 135
= Rs. 1035
Now, let the appropriate marked price = Rs. x
15% discounted price will be :
= x - [x × (15/100)]
= x - (3x/20)
= (20x - 3x)/20
= Rs. 17x/20
Now, this discounted price should be equal to the selling price that gives the lady a profit of 15% for herself.
Which means,
17x/20 = 1035
x = 1035 × (20/17)
x = 1217.65 (approx.)
The appropriate marked price = Rs. 1217.65 (approx.)
Hence, the approximate marked price of the jeans should be Rs. 1217.65