A trader gives 10% discount on the marked price but adds 5% tax on the discounted price. Quantity I. If the selling price of the article is Rs. 850.5 then what is the marked price of the article? Quantity II. Rs. 900

To find the relationship between Quantity I and Quantity II, we need to calculate the value of Quantity I and compare it with Quantity II.

Step 1: Understand the discount and tax structure
Let the marked price of the article be $M$.
The trader gives a 10% discount on the marked price.
Therefore, the discounted price is:
$\mathrm{Discounted\; Price}=M-0.10M=0.90M$

Next, the trader adds a 5% tax on this discounted price.
Therefore, the final selling price (SP) is:
$\mathrm{Selling\; Price}=0.90M\times (1+0.05)$
$\mathrm{Selling\; Price}=0.90M\times 1.05$
$\mathrm{Selling\; Price}=0.945M$

Step 2: Calculate Quantity I
We are given that the selling price of the article is Rs. 850.5.
Set up the equation to solve for the marked price ($M$):
$0.945M=850.5$
$M=\frac{850.5}{0.945}$
Let us simplify this division:
$M=\frac{850500}{945}$
Dividing 850500 by 945:
Since $945\times 9=8505$, we have:
$M=900$

Thus, the marked price of the article (Quantity I) is Rs. 900.

Step 3: Compare Quantity I and Quantity II
Quantity I = Rs. 900
Quantity II = Rs. 900
Comparing the two values, we find that Quantity I = Quantity II.

Therefore, the correct relationship is Quantity I = Quantity II.

The correct option is: Quantity | = Quantity ll or no relation can be established