A shoe company sold 50 pairs of shoes on a day costing 189.50 each for 10,000. Then the profit obtained in is

Options

A. 522
B. 525
C. 573
D. 612

Answer

To solve the problem step by step, we will calculate the profit obtained by the shoe company from selling 50 pairs of shoes.

### Step 1: Calculate the Selling Price (SP) of One Pair of Shoes
The total selling price for 50 pairs of shoes is given as Rs. 10,000.

To find the selling price of one pair, we divide the total selling price by the number of pairs sold:

\[ \text{SP of one pair} = \frac{\text{Total SP}}{\text{Number of pairs}} = \frac{10,000}{50} = 200 \]

### Step 2: Identify the Cost Price (CP) of One Pair of Shoes
The cost price of one pair of shoes is given as Rs. 189.50.

\[ \text{CP of one pair} = 189.50 \]

### Step 3: Calculate the Profit on One Pair of Shoes
Profit on one pair can be calculated by subtracting the cost price from the selling price:

\[ \text{Profit on one pair} = \text{SP of one pair} - \text{CP of one pair} = 200 - 189.50 = 10.50 \]

### Step 4: Calculate the Total Profit for 50 Pairs
To find the total profit obtained from selling 50 pairs, we multiply the profit on one pair by the total number of pairs sold:

\[ \text{Total Profit} = \text{Profit on one pair} \times \text{Number of pairs} = 10.50 \times 50 = 525 \]

### Final Answer
The total profit obtained by the shoe company from selling 50 pairs of shoes is Rs. 525.

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