A trader gives an additional concession of35% on an article which is already get discounted by 20% on the marked pnce. If the buyer pays an amount of I 300 for the article, then the marked price is

Options

A. 2200
B. 2500
C. 2600
D. 2700

Explanation

To find the marked price (MP) of the article, we can follow these steps:

### Step 1: Understand the Discounts
The article has two discounts applied:
1. A 20% discount on the marked price (MP).
2. An additional 35% discount on the price after the first discount.

### Step 2: Calculate the Price After the First Discount
If the marked price is MP, after a 20% discount, the selling price (SP1) can be calculated as:
\[ SP1 = MP - (20\% \text{ of } MP) \]
This can be expressed as:
\[ SP1 = MP \times (1 - 0.20) = MP \times 0.80 \]

### Step 3: Calculate the Price After the Second Discount
Now, we apply the additional 35% discount on SP1. The selling price (SP2) after the second discount is:
\[ SP2 = SP1 - (35\% \text{ of } SP1) \]
This can be expressed as:
\[ SP2 = SP1 \times (1 - 0.35) = SP1 \times 0.65 \]

Substituting SP1 from Step 2:
\[ SP2 = (MP \times 0.80) \times 0.65 \]
\[ SP2 = MP \times 0.80 \times 0.65 \]
\[ SP2 = MP \times 0.52 \]

### Step 4: Set Up the Equation
According to the problem, the buyer pays ₹1300 for the article, which means:
\[ SP2 = 1300 \]
So we can set up the equation:
\[ MP \times 0.52 = 1300 \]

### Step 5: Solve for the Marked Price
To find MP, we rearrange the equation:
\[ MP = \frac{1300}{0.52} \]
Calculating this gives:
\[ MP = 2500 \]

### Conclusion
The marked price of the article is ₹2500.

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