The profit earned after selling a wrist watch for Rs 4,080 is the same as the loss incurred after selling the same wrist watch for Rs 3,650. What is the cost price of the wrist watch? Rs 3,785 Rs 3,800 Rs 3,775 Rs 3,865
Question
The profit earned after selling a wrist watch for Rs 4,080 is the same as the loss incurred after selling the same wrist watch for Rs 3,650. What is the cost price of the wrist watch? Rs 3,785 Rs 3,800 Rs 3,775 Rs 3,865
Solution
Let's solve this step by step:
Step 1: According to the problem, the profit earned after selling the wrist watch for Rs 4,080 is the same as the loss incurred after selling the wrist watch for Rs 3,650. This means the difference between the cost price and Rs 4,080 is the same as the difference between the cost price and Rs 3,650.
Step 2: Let's denote the cost price as x. So, we can write the equation as follows: 4080 - x = x - 3650.
Step 3: If we solve this equation, we get: 2x = 4080 + 3650.
Step 4: Solving for x, we get: x = (4080 + 3650) / 2.
Step 5: Calculating the value, we get: x = Rs 3,865.
So, the cost price of the wrist watch is Rs 3,865.
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