Allowing 20% and 15% successive discounts, the selling price of an article becomes ₹3,060, then the marked price will be

Options

A. ₹4,400
B. ₹5,000
C. ₹4,500
D. ₹4,000

Explanation

To find the marked price of an article after allowing successive discounts of 20% and 15%, we can follow these steps:

### Step 1: Understand the Discounts
We are given two successive discounts:
1. First discount = 20%
2. Second discount = 15%

### Step 2: Calculate the Selling Price After Discounts
Let the marked price (MP) be 100 units (for easier calculation).

After the first discount of 20%, the selling price (SP1) becomes:
\[ SP1 = MP - (20\% \text{ of } MP) = 100 - 20 = 80 \text{ units} \]

Now, applying the second discount of 15% on the new price (80 units):
\[ SP2 = SP1 - (15\% \text{ of } SP1) = 80 - (15\% \text{ of } 80) \]
Calculating 15% of 80:
\[ 15\% \text{ of } 80 = \frac{15}{100} \times 80 = 12 \]
So,
\[ SP2 = 80 - 12 = 68 \text{ units} \]

### Step 3: Relate Selling Price to Actual Selling Price
According to the question, the selling price after the discounts is ₹3,060. Therefore, we can set up the equation:
\[ 68 \text{ units} = 3060 \]

### Step 4: Calculate the Value of 1 Unit
To find the value of 1 unit:
\[ 1 \text{ unit} = \frac{3060}{68} \]
Calculating this gives:
\[ 1 \text{ unit} = 45 \text{ rupees} \]

### Step 5: Calculate the Marked Price
Since we initially assumed the marked price to be 100 units, we can now find the actual marked price:
\[ \text{Marked Price} = 100 \text{ units} \times 45 \text{ rupees/unit} = 4500 \text{ rupees} \]

### Conclusion
Thus, the marked price of the article is ₹4,500.

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