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A shopkeeper bought a watch for Rs. 1200...

A shopkeeper bought a watch for Rs. 1200. At what price should he sell the watch to earn a profit of 25% ?

A

Rs. 1550

B

Rs. 1500

C

Rs. 1450

D

Rs. 1400

Text Solution

AI Generated Solution

The correct Answer is:
To find the selling price (SP) at which the shopkeeper should sell the watch to earn a profit of 25%, we can follow these steps: ### Step 1: Identify the Cost Price (CP) The cost price of the watch is given as Rs. 1200. ### Step 2: Calculate the Profit To calculate the profit, we need to find 25% of the cost price. \[ \text{Profit} = 25\% \text{ of CP} = \frac{25}{100} \times 1200 \] ### Step 3: Simplify the Profit Calculation Calculating the profit: \[ \text{Profit} = 0.25 \times 1200 = 300 \] ### Step 4: Calculate the Selling Price (SP) Now, we can find the selling price by adding the profit to the cost price. \[ \text{SP} = \text{CP} + \text{Profit} = 1200 + 300 \] ### Step 5: Final Calculation Calculating the selling price: \[ \text{SP} = 1500 \] Thus, the shopkeeper should sell the watch for Rs. 1500 to earn a profit of 25%. ### Final Answer The selling price (SP) should be Rs. 1500. ---
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