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A man sells his goods at 10% profit. If he purchased it for ₹ 500 Loss and sold it for ₹ 500 Loss, he would have gained 10% more profit. Find the initial cost price.₹ 800₹ 1200₹ 1500₹ 1000

Question

A man sells his goods at 10% profit. If he purchased it for ₹ 500 Loss and sold it for ₹ 500 Loss, he would have gained 10% more profit. Find the initial cost price.₹ 800₹ 1200₹ 1500₹ 1000

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Solution

Let's solve this step by step:

  1. Let's assume the initial cost price of the goods is ₹x.

  2. According to the problem, the man sells his goods at a 10% profit. So, the selling price of the goods is 110% of x, which is 1.1x.

  3. The problem also states that if he had purchased the goods for ₹500 less and sold them for ₹500 less, he would have gained 10% more profit. This means the selling price would have been 120% of (x - 500), which is 1.2(x - 500).

  4. But this selling price is also ₹500 less than the original selling price. So, we can set up the equation 1.1x - 500 = 1.2(x - 500).

  5. Solving this equation will give us the value of x, which is the initial cost price of the goods.

  6. 1.1x - 500 = 1.2x - 600

  7. Rearranging the terms gives 0.1x = 100

  8. Solving for x gives x = 1000

So, the initial cost price of the goods was ₹1000.

This problem has been solved

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