The cost price of an article is rs 425. A shop keeper gives a discount of 20% and still gains 15%. What is the marked price of the article?

Options

A. rs 605.75
B. rs 620.50
C. rs 624.50
D. rs 611

Answer

To find the marked price of the article, we can use the formula:

\[ \text{Marked Price (MP)} = \frac{\text{Cost Price (CP)} \times (100 + \text{Gain \%})}{(100 - \text{Discount \%})} \]

**Step 1: Identify the given values.**
- Cost Price (CP) = Rs 425
- Gain Percentage = 15%
- Discount Percentage = 20%

**Step 2: Substitute the values into the formula.**
\[ \text{MP} = \frac{425 \times (100 + 15)}{(100 - 20)} \]

**Step 3: Calculate the numerator.**
- Calculate \(100 + 15 = 115\)
- Now, calculate \(425 \times 115\):
\[ 425 \times 115 = 48875 \]

**Step 4: Calculate the denominator.**
- Calculate \(100 - 20 = 80\)

**Step 5: Substitute the calculated values back into the formula.**
\[ \text{MP} = \frac{48875}{80} \]

**Step 6: Perform the division.**
\[ \text{MP} = 610.9375 \]

Since we typically round to the nearest whole number in currency, we can approximate this to Rs 611.

**Final Answer:**
The marked price of the article is Rs 611.

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