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
Solution
Let's solve this step by step:
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Let's assume the initial cost price of the goods is ₹x.
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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.
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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).
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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).
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Solving this equation will give us the value of x, which is the initial cost price of the goods.
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1.1x - 500 = 1.2x - 600
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Rearranging the terms gives 0.1x = 100
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Solving for x gives x = 1000
So, the initial cost price of the goods was ₹1000.
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