When a man sold a watch for Rs. 4000, then he makes a loss of in this transaction. If man would sell the same watch for Rs. 5000, then he would make a profit of of what the loss he makes initially. Find the cost price of watch (in Rs.)?
Question
When a man sold a watch for Rs. 4000, then he makes a loss of in this transaction. If man would sell the same watch for Rs. 5000, then he would make a profit of of what the loss he makes initially. Find the cost price of watch (in Rs.)?
Solution
Let's solve the problem step by step:
Step 1: Let's assume the cost price of the watch is 'x' rupees.
Step 2: According to the given information, when the man sold the watch for Rs. 4000, he made a loss. Let's calculate the loss.
Loss = Cost Price - Selling Price Loss = x - 4000
Step 3: Now, it is given that if the man sells the same watch for Rs. 5000, he would make a profit equal to the initial loss. Let's calculate the profit.
Profit = Selling Price - Cost Price Profit = 5000 - x
Step 4: According to the problem, the profit is equal to the initial loss. So, we can equate the profit and loss.
Profit = Loss 5000 - x = x - 4000
Step 5: Let's solve the equation to find the value of 'x', which represents the cost price of the watch.
5000 - x = x - 4000 5000 + 4000 = x + x 9000 = 2x x = 9000/2 x = 4500
Therefore, the cost price of the watch is Rs. 4500.
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