Reshama bought a showpiece for Rs 629 with a discount of `15%` on the marked price. Find the marked price of the showpiece.

Options

A. Rs. 740
B. Rs. 820
C. Rs. 840
D. Rs. 880

Answer

To find the marked price of the showpiece that Reshama bought for Rs 629 with a discount of 15%, we can follow these steps:

### Step 1: Understand the relationship between marked price, selling price, and discount.
The selling price (SP) is the price after the discount is applied. The discount is given as a percentage of the marked price (MP). In this case, the discount is 15% of the marked price.

### Step 2: Set up the equation.
Let the marked price be represented as MP. Since a discount of 15% is applied, the selling price can be expressed as:
\[ SP = MP - (15\% \text{ of } MP) \]
This can also be written as:
\[ SP = MP - 0.15 \times MP \]
Which simplifies to:
\[ SP = 0.85 \times MP \]

### Step 3: Substitute the known selling price.
We know that Reshama bought the showpiece for Rs 629, so we can substitute this into the equation:
\[ 629 = 0.85 \times MP \]

### Step 4: Solve for the marked price (MP).
To find MP, we can rearrange the equation:
\[ MP = \frac{629}{0.85} \]

### Step 5: Calculate the marked price.
Now, we perform the division:
\[ MP = \frac{629}{0.85} \approx 740 \]

### Conclusion:
The marked price of the showpiece is Rs 740.