An article is sold at two successive discounts of 10% and 20%. If the selling price is Rs.1080, then what is the marked price?

Options

A. A)Rs. 1500
B. B)Rs. 1400
C. C)Rs. 1600
D. D)Rs. 1300

Answer

To find the marked price (MP) of an article sold at two successive discounts of 10% and 20%, given that the selling price (SP) is Rs. 1080, we can follow these steps:

### Step 1: Understand the Discounts
The article is sold with two successive discounts:
1. First discount of 10%
2. Second discount of 20%

### Step 2: Calculate the Selling Price after Each Discount
Let the marked price be \( MP \).

After the first discount of 10%, the selling price becomes:
\[ SP_1 = MP \times (1 - 0.10) = MP \times 0.90 \]

After the second discount of 20%, the selling price becomes:
\[ SP_2 = SP_1 \times (1 - 0.20) = (MP \times 0.90) \times 0.80 = MP \times 0.90 \times 0.80 \]

### Step 3: Simplify the Selling Price Expression
Now, we can simplify the expression for the final selling price:
\[ SP_2 = MP \times 0.90 \times 0.80 = MP \times 0.72 \]

### Step 4: Set the Selling Price Equal to Rs. 1080
We know that the final selling price (after both discounts) is Rs. 1080:
\[ MP \times 0.72 = 1080 \]

### Step 5: Solve for the Marked Price
Now, we can solve for \( MP \):
\[ MP = \frac{1080}{0.72} \]

Calculating this gives:
\[ MP = 1500 \]

### Conclusion
The marked price of the article is Rs. 1500.