The list price of an air - conditioner is rs. 40,000. The shopkeepar gives a discount of `15%` on the listed price. The tax rate for it is `28%`. Calculate the tax charged by the shopkeeper and the total amount (including tax) the customer has to pay.

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Discount Amount
The discount given by the shopkeeper is 15% of the list price.

- **List Price (LP)** = Rs. 40,000
- **Discount Rate (D)** = 15%

**Discount Amount (DA)** = (D/100) × LP
= (15/100) × 40,000
= 0.15 × 40,000
= Rs. 6,000

### Step 2: Calculate the Price After Discount
Now, we will subtract the discount amount from the list price to find the price after discount.

**Price After Discount (PAD)** = LP - DA
= 40,000 - 6,000
= Rs. 34,000

### Step 3: Calculate the Tax Amount
The tax rate is given as 28%. We will calculate the tax on the price after discount.

- **Tax Rate (T)** = 28%

**Tax Amount (TA)** = (T/100) × PAD
= (28/100) × 34,000
= 0.28 × 34,000
= Rs. 9,520

### Step 4: Calculate the Total Amount Payable
Finally, we will add the tax amount to the price after discount to find the total amount payable by the customer.

**Total Amount (TA)** = PAD + TA
= 34,000 + 9,520
= Rs. 43,520

### Final Answer
- **Tax Charged** = Rs. 9,520
- **Total Amount Payable** = Rs. 43,520

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