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 customer.
mr santosh purchases 5 computers of P model he transported item in his own vehicle and requested the showroom only for installation.How much did santosh spend, if price of computer Q is `₹26,400` and sales tax is 8%

Options

A. `₹1.09,150`
B. `₹1,26,870`
C. `₹1.11,340`
D. `₹1,10.170`

Answer

To solve the problem step by step, we need to calculate the price of computer P, apply the discount, calculate the total cost including sales tax, and then add the installation charges. Here’s how we can do it:

### Step 1: Calculate the price of computer P
Given that the price of computer Q is ₹26,400 and it is 10% more than the price of computer P, we can express the price of P as follows:

Let the price of P be \( P \).

\[ Q = P + 0.1P = 1.1P \]

Given \( Q = ₹26,400 \):

\[ 1.1P = 26,400 \]

To find \( P \):

\[ P = \frac{26,400}{1.1} = 24,000 \]

### Step 2: Calculate the discounted price of computer P
The showroom offers a 5% discount on all purchases. Therefore, the discounted price of computer P is:

\[ \text{Discounted Price} = P - 0.05P = 0.95P \]

Calculating the discounted price:

\[ \text{Discounted Price} = 0.95 \times 24,000 = 22,800 \]

### Step 3: Calculate the total cost for 5 computers
Mr. Santosh purchases 5 computers of model P. Therefore, the total cost for 5 computers before tax is:

\[ \text{Total Cost} = 5 \times 22,800 = 114,000 \]

### Step 4: Calculate the sales tax
The sales tax is 8%. Therefore, the total cost after adding sales tax is:

\[ \text{Sales Tax} = 0.08 \times 114,000 = 9,120 \]

Adding the sales tax to the total cost:

\[ \text{Total Cost after Tax} = 114,000 + 9,120 = 123,120 \]

### Step 5: Calculate the installation charges
The installation charge per computer is ₹750. For 5 computers, the total installation charge is:

\[ \text{Installation Charge} = 5 \times 750 = 3,750 \]

### Step 6: Calculate the final total amount spent by Mr. Santosh
Finally, we add the total cost after tax and the installation charges:

\[ \text{Total Amount Spent} = 123,120 + 3,750 = 126,870 \]

### Conclusion
Thus, the total amount Mr. Santosh spent is **₹126,870**.

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