Question

By selling a cycle in Rs. 8000 and Rs. 9500, some loss and some profit are respectively. If the loss is one half of the profit, find it's cost price.

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Answer 1

Step-by-step explanation:

Let's assume the cost price of the cycle is 'x' rupees.

According to the given information, when sold at Rs. 8000, there is a loss.

So, the selling price is 8000 and the loss is the cost price minus the selling price = x - 8000.

Similarly, when sold at Rs. 9500, there is a profit.

So, the selling price is 9500 and the profit is the selling price minus the cost price = 9500 - x.

Given that the loss is one-half of the profit, we can set up the equation:

x - 8000 = (1/2) * (9500 - x)

Simplifying the equation, we get:

2(x - 8000) = 9500 - x

2x - 16000 = 9500 - x

3x = 25500

x = 8500

Therefore, the cost price of the cycle is Rs. 8500.