An article is sold for Rs. 809.9 after successive discounts of 35% and 30%. What is the marked price of the article?

Options

A. Rs. 1960
B. Rs. 1820
C. Rs. 1780
D. Rs. 1640

Answer

To find the marked price of the article after successive discounts of 35% and 30%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price, Marked Price, and Discounts
The selling price (SP) after applying successive discounts can be expressed in terms of the marked price (MP) as follows:
\[ SP = MP \times (1 - \text{Discount 1}) \times (1 - \text{Discount 2}) \]

### Step 2: Substitute the values into the formula
Given:
- Selling Price (SP) = Rs. 809.9
- Discount 1 = 35% = 0.35
- Discount 2 = 30% = 0.30

Substituting these values into the formula:
\[ 809.9 = MP \times (1 - 0.35) \times (1 - 0.30) \]

### Step 3: Calculate the effective multipliers
Calculate the multipliers:
- \( 1 - 0.35 = 0.65 \)
- \( 1 - 0.30 = 0.70 \)

Now substitute these values:
\[ 809.9 = MP \times 0.65 \times 0.70 \]

### Step 4: Multiply the multipliers
Calculate \( 0.65 \times 0.70 \):
\[ 0.65 \times 0.70 = 0.455 \]

Now the equation becomes:
\[ 809.9 = MP \times 0.455 \]

### Step 5: Solve for the Marked Price (MP)
To find the marked price, rearrange the equation:
\[ MP = \frac{809.9}{0.455} \]

### Step 6: Perform the division
Calculating the above expression:
\[ MP = \frac{809.9}{0.455} \approx 1780 \]

### Conclusion
The marked price of the article is Rs. 1780.

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