Two dealers offer an item at the same marked price Rs.3000. The first dealer allows successive discounts of 10% and 15%. The other dealer allows successive discounts of 20% and 5%. Find the difference in the selling price of the item under the two offers.

Options

A. Rs 15
B. Rs 20
C. Rs 10
D. Rs 25

Answer

To solve the problem, we need to calculate the selling price of the item for both dealers after applying their respective discounts, and then find the difference between the two selling prices.

### Step-by-Step Solution:

1. **Identify the Marked Price:**
The marked price of the item is given as Rs. 3000.

2. **Calculate the Selling Price for the First Dealer:**
- The first dealer offers successive discounts of 10% and 15%.
- First, calculate the price after the first discount (10%):
\[ \text{Discount} = 10\% \text{ of } 3000 = \frac{10}{100} \times 3000 = 300 \]
\[ \text{Price after 10% discount} = 3000 - 300 = 2700 \]
- Now, apply the second discount (15%) on the new price (Rs. 2700):
\[ \text{Discount} = 15\% \text{ of } 2700 = \frac{15}{100} \times 2700 = 405 \]
\[ \text{Selling Price for First Dealer} = 2700 - 405 = 2295 \]

3. **Calculate the Selling Price for the Second Dealer:**
- The second dealer offers successive discounts of 20% and 5%.
- First, calculate the price after the first discount (20%):
\[ \text{Discount} = 20\% \text{ of } 3000 = \frac{20}{100} \times 3000 = 600 \]
\[ \text{Price after 20% discount} = 3000 - 600 = 2400 \]
- Now, apply the second discount (5%) on the new price (Rs. 2400):
\[ \text{Discount} = 5\% \text{ of } 2400 = \frac{5}{100} \times 2400 = 120 \]
\[ \text{Selling Price for Second Dealer} = 2400 - 120 = 2280 \]

4. **Calculate the Difference in Selling Prices:**
\[ \text{Difference} = \text{Selling Price of First Dealer} - \text{Selling Price of Second Dealer} \]
\[ \text{Difference} = 2295 - 2280 = 15 \]

### Final Answer:
The difference in the selling price of the item under the two offers is Rs. 15.