A dealer buys an aritcles marked at ₹20000 with two successive discounts of 20% and 5% . He spends ₹1800 on repairs and sells it for ₹20000, what is his profit loss percent (correct to one decimal place) ?

Options

A. 17.65% profit
B. 23.46 profit
C. 23.64% loss
D. 17.65% loss

Answer

To solve the problem step by step, we need to calculate the effective cost price of the article after applying the discounts and adding the repair costs, and then determine the profit or loss percentage based on the selling price.

### Step-by-Step Solution:

1. **Calculate the first discount:**
- The marked price of the article is ₹20,000.
- The first discount is 20%.
- The price after the first discount:
\[ \text{Price after 20% discount} = \text{Marked Price} \times (1 - \frac{20}{100}) = 20000 \times 0.8 = ₹16,000 \]

**Hint:** To apply a percentage discount, multiply the original price by (1 - discount rate).

2. **Calculate the second discount:**
- The second discount is 5% on the new price of ₹16,000.
- The price after the second discount:
\[ \text{Price after 5% discount} = 16000 \times (1 - \frac{5}{100}) = 16000 \times 0.95 = ₹15,200 \]

**Hint:** Again, apply the percentage discount using the same method as before.

3. **Calculate the total cost price (CP):**
- The cost price after discounts is ₹15,200.
- The dealer spends ₹1,800 on repairs.
- Therefore, the total cost price:
\[ \text{Total CP} = 15200 + 1800 = ₹17,000 \]

**Hint:** Add any additional costs (like repairs) to the discounted price to find the total cost price.

4. **Determine the selling price (SP):**
- The selling price is given as ₹20,000.

**Hint:** The selling price is the amount at which the article is sold.

5. **Calculate the profit:**
- Profit is calculated as:
\[ \text{Profit} = \text{SP} - \text{CP} = 20000 - 17000 = ₹3,000 \]

**Hint:** Profit is the difference between the selling price and the cost price.

6. **Calculate the profit percentage:**
- Profit percentage is calculated as:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 = \left(\frac{3000}{17000}\right) \times 100 \approx 17.65\% \]

**Hint:** To find the profit percentage, divide the profit by the cost price and multiply by 100.

### Final Result:
The profit percentage is approximately **17.65%**.