An article is sold for Rs 1, 683, after giving three successive discounts of 15%, 10% and 12% on its marked price. The marked price of the article is :

Options

A. Rs 2,400
B. Rs 2,640
C. Rs 2,500
D. Rs 2, 560

Answer

To find the marked price of the article after applying three successive discounts of 15%, 10%, and 12%, we can follow these steps:

### Step 1: Let the marked price be \( M \).
We will denote the marked price of the article as \( M \).

### Step 2: Apply the first discount of 15%.
After applying a 15% discount, the selling price becomes:
\[ \text{Price after 15% discount} = M - 0.15M = 0.85M \]

### Step 3: Apply the second discount of 10%.
Now, we apply a 10% discount on the new price:
\[ \text{Price after 10% discount} = 0.85M - 0.10(0.85M) = 0.85M \times 0.90 = 0.765M \]

### Step 4: Apply the third discount of 12%.
Next, we apply a 12% discount on the latest price:
\[ \text{Price after 12% discount} = 0.765M - 0.12(0.765M) = 0.765M \times 0.88 = 0.672M \]

### Step 5: Set the final selling price equal to Rs 1,683.
According to the problem, the final selling price after all discounts is Rs 1,683. Therefore, we can set up the equation:
\[ 0.672M = 1683 \]

### Step 6: Solve for \( M \).
To find \( M \), we divide both sides by 0.672:
\[ M = \frac{1683}{0.672} \approx 2500 \]

### Conclusion:
The marked price of the article is approximately Rs 2,500.