A dealer buys a car listed at Rs. 200000 at successive discounts of 5% and 10%. If he sells the car for 179550, then his profit is

Options

A. `10%`
B. `9%`
C. `5%`
D. `4%`

Answer

To find the profit made by the dealer after buying a car listed at Rs. 200,000 with successive discounts of 5% and 10%, and selling it for Rs. 179,550, we can follow these steps:

### Step 1: Calculate the first discount
The listed price of the car is Rs. 200,000. The first discount is 5%.

\[ \text{First Discount} = 5\% \text{ of } 200,000 = \frac{5}{100} \times 200,000 = 10,000 \]

### Step 2: Calculate the price after the first discount
Subtract the first discount from the listed price.

\[ \text{Price after first discount} = 200,000 - 10,000 = 190,000 \]

### Step 3: Calculate the second discount
Now, apply the second discount of 10% on the new price (Rs. 190,000).

\[ \text{Second Discount} = 10\% \text{ of } 190,000 = \frac{10}{100} \times 190,000 = 19,000 \]

### Step 4: Calculate the price after the second discount
Subtract the second discount from the price after the first discount.

\[ \text{Price after second discount} = 190,000 - 19,000 = 171,000 \]

### Step 5: Calculate the profit
The dealer sells the car for Rs. 179,550. To find the profit, subtract the cost price (after discounts) from the selling price.

\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} = 179,550 - 171,000 = 8,550 \]

### Step 6: Calculate the profit percentage
To find the profit percentage, use the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]

Substituting the values:

\[ \text{Profit Percentage} = \left( \frac{8,550}{171,000} \right) \times 100 \approx 5\% \]

### Final Answer
The dealer's profit is Rs. 8,550, and the profit percentage is approximately 5%.

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