5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is _________.

Options

A. `Rs 190`
B. `Rs 190.5`
C. `Rs 199`
D. `Rs 199.5`

Answer

To solve the problem step by step, we will calculate the amount payable after applying a discount and then adding sales tax.

### Step 1: Calculate the Discount
The marked price (MP) of the article is Rs 200, and a discount of 5% is applied.

**Calculation:**
- Discount = 5% of MP
- Discount = \( \frac{5}{100} \times 200 = 10 \)

### Step 2: Calculate the Selling Price after Discount
Now, we subtract the discount from the marked price to find the selling price (SP).

**Calculation:**
- Selling Price (SP) = MP - Discount
- SP = \( 200 - 10 = 190 \)

### Step 3: Calculate the Sales Tax
Next, we need to calculate the 5% sales tax on the selling price.

**Calculation:**
- Sales Tax = 5% of SP
- Sales Tax = \( \frac{5}{100} \times 190 = 9.5 \)

### Step 4: Calculate the Total Amount Payable
Finally, we add the sales tax to the selling price to find the total amount payable.

**Calculation:**
- Amount Payable = SP + Sales Tax
- Amount Payable = \( 190 + 9.5 = 199.5 \)

### Final Answer:
The amount payable by the customer is Rs 199.5.

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