After allowing 10% discount on the marked price of an article, a person makes a profit of 16%. If the cost price of the article is ₹648, then its marked price is:

Options

A. ₹826.80
B. ₹835.20
C. ₹751.68
D. ₹910.40

Answer

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

### Step 1: Understand the relationship between cost price, selling price, and marked price.
- Let the marked price be denoted as MP.
- The selling price (SP) after a 10% discount on the marked price can be calculated as:
\[ SP = MP - (10\% \text{ of } MP) = MP \times (1 - 0.10) = MP \times 0.90 \]

### Step 2: Calculate the selling price using the profit percentage.
- Given that the cost price (CP) of the article is ₹648 and the profit percentage is 16%, we can find the selling price as follows:
\[ SP = CP + (16\% \text{ of } CP) = 648 + (0.16 \times 648) = 648 + 103.68 = 751.68 \]

### Step 3: Set up the equation using the selling price.
- From Step 1, we know that:
\[ SP = MP \times 0.90 \]
- We can substitute the selling price from Step 2 into this equation:
\[ 751.68 = MP \times 0.90 \]

### Step 4: Solve for the marked price (MP).
- Rearranging the equation gives:
\[ MP = \frac{751.68}{0.90} = 834.08 \]

### Step 5: Round to the nearest currency unit.
- Since prices are typically rounded to two decimal places, we can round this to:
\[ MP = ₹834.08 \]

### Final Answer:
The marked price of the article is approximately **₹834.08**.

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