When an article is sold at 20`%` discount, the selling price is ₹ 24. What will be the selling price when the discount is `30%`?

Options

A. ₹ 25
B. ₹ 30
C. ₹ 21
D. ₹ 20

Answer

To solve the problem step by step, we will follow these instructions:

### Step 1: Understand the given information
When an article is sold at a 20% discount, the selling price (SP) is ₹24.

### Step 2: Find the Cost Price (CP)
Let the Cost Price (CP) be represented as \( CP \).

Since the selling price after a 20% discount is given by the formula:
\[ SP = CP - (Discount \% \times CP) \]
We can express this as:
\[ SP = CP - (0.20 \times CP) \]
This simplifies to:
\[ SP = 0.80 \times CP \]

Given that \( SP = 24 \):
\[ 0.80 \times CP = 24 \]

### Step 3: Solve for CP
To find \( CP \), we rearrange the equation:
\[ CP = \frac{24}{0.80} \]
Calculating this gives:
\[ CP = 30 \]

### Step 4: Calculate the Selling Price for a 30% Discount
Now, we need to find the selling price when the discount is 30%.

Using the same formula for selling price:
\[ SP = CP - (Discount \% \times CP) \]
For a 30% discount:
\[ SP = CP - (0.30 \times CP) \]
This simplifies to:
\[ SP = 0.70 \times CP \]

### Step 5: Substitute CP to find the new SP
Now substituting \( CP = 30 \):
\[ SP = 0.70 \times 30 \]
Calculating this gives:
\[ SP = 21 \]

### Conclusion
The selling price when the discount is 30% is ₹21.

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