Inclusive of a profit of 17% Spoorti sold a pair of footwear for Rs 2,223. What ws the cost price of the pair of shoes?

Options

A. Rs 1,900
B. Rs 1,870
C. Rs, 1,880
D. Rs 1,905

Answer

To find the cost price (CP) of the pair of footwear sold by Spoorti, we can use the formula that relates selling price (SP), cost price (CP), and profit percentage. The formula is:

\[ SP = CP + (Profit \% \times CP) \]

Given that the selling price (SP) is Rs 2,223 and the profit percentage is 17%, we can express the profit in terms of CP:

1. **Convert the profit percentage to a decimal**:
\[ Profit \% = \frac{17}{100} = 0.17 \]

2. **Express the selling price in terms of cost price**:
\[ SP = CP + (0.17 \times CP) \]
\[ SP = CP (1 + 0.17) \]
\[ SP = CP \times 1.17 \]

3. **Substitute the selling price into the equation**:
\[ 2223 = CP \times 1.17 \]

4. **Solve for the cost price (CP)**:
\[ CP = \frac{2223}{1.17} \]

5. **Calculate the value**:
\[ CP = 1900 \]

Thus, the cost price of the pair of footwear is Rs 1,900.