The marked price of a TV is Rs.18500. A dealer allows two successive discounts of 20% and 5%. For how much is the TV available?

Answer

To solve the problem, we need to calculate the selling price of the TV after applying the two successive discounts. Here’s the step-by-step solution:

### Step 1: Calculate the first discount
The marked price (MP) of the TV is Rs. 18,500. The first discount is 20%.

First, we calculate the amount of the first discount:
\[ \text{First Discount} = \text{Marked Price} \times \frac{\text{Discount Percentage}}{100} \]
\[ \text{First Discount} = 18500 \times \frac{20}{100} = 18500 \times 0.20 = 3700 \]

### Step 2: Calculate the price after the first discount
Now, we subtract the first discount from the marked price to find the new price:
\[ \text{Price after First Discount} = \text{Marked Price} - \text{First Discount} \]
\[ \text{Price after First Discount} = 18500 - 3700 = 14800 \]

### Step 3: Calculate the second discount
The second discount is 5%, which is applied to the price after the first discount.

We calculate the amount of the second discount:
\[ \text{Second Discount} = \text{Price after First Discount} \times \frac{\text{Discount Percentage}}{100} \]
\[ \text{Second Discount} = 14800 \times \frac{5}{100} = 14800 \times 0.05 = 740 \]

### Step 4: Calculate the final selling price
Finally, we subtract the second discount from the price after the first discount to find the selling price:
\[ \text{Selling Price} = \text{Price after First Discount} - \text{Second Discount} \]
\[ \text{Selling Price} = 14800 - 740 = 14060 \]

### Final Answer
The TV is available for Rs. 14,060.

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