There are 4 different computers in the showrooms P,Q,R ,S the price of Q is 10% more then P the price of R is 12% more than Q the price of S is 10% less than R showroom offres 5% discount on all purchases before sales tax is calculated. The showroom collect 250rs for delivering any number of computer to the customer .The installation charge per computer of any model is Rs 750 charged by the showroom on the customerr
The showroom has earned `₹2,07,530` in total by selling computers of type R to a customer. The showroom transported the items and charged only `₹350` per installation sales tax is 5% what is original price of R model computer if customer purchased 11 computers from showroom and paid 3% state GST

Options

A. `₹18,000`
B. `₹15,000`
C. `₹17,000`
D. `₹19,000`

Answer

To find the original price of the R model computer, we will follow these steps:

### Step 1: Understand the total earnings from selling computers
The showroom earned a total of ₹2,07,530 from selling 11 computers of type R.

### Step 2: Calculate the total installation and delivery charges
The installation charge per computer is ₹750. For 11 computers, the total installation charge is:
\[ \text{Total Installation Charge} = 11 \times 750 = ₹8,250 \]
The delivery charge is ₹250, which remains constant regardless of the number of computers purchased.

### Step 3: Calculate the total charges before sales tax
The total charges before sales tax can be calculated as:
\[ \text{Total Charges Before Sales Tax} = \text{Total Earnings} - \text{Total Installation Charge} - \text{Delivery Charge} \]
Substituting the values:
\[ \text{Total Charges Before Sales Tax} = 2,07,530 - 8,250 - 250 = ₹1,99,030 \]

### Step 4: Account for the sales tax
The showroom offers a 5% discount on the price before sales tax. Let \( x \) be the original price of one computer of type R. The effective price after the discount is:
\[ \text{Effective Price} = x - 0.05x = 0.95x \]
The total price for 11 computers before sales tax is:
\[ \text{Total Price Before Sales Tax} = 11 \times 0.95x = 10.45x \]
The total amount after adding the 5% sales tax is:
\[ \text{Total Amount After Sales Tax} = 10.45x + 0.05 \times 10.45x = 10.45x \times 1.05 = 10.9725x \]

### Step 5: Set up the equation
We know that the total charges before sales tax is ₹1,99,030, so we set up the equation:
\[ 10.9725x = 1,99,030 \]

### Step 6: Solve for \( x \)
To find \( x \), we divide both sides by 10.9725:
\[ x = \frac{1,99,030}{10.9725} \approx ₹18,145.44 \]

### Conclusion
The original price of the R model computer is approximately ₹18,145.44.