A seller profess to sell goods at cost price but to earn profit he use false weight of 10% both the times while buying and selling the goods. What will be the overall profit he earned in the transaction?a.24%b.30%c.22.22%d.18.18%
Question
A seller profess to sell goods at cost price but to earn profit he use false weight of 10% both the times while buying and selling the goods. What will be the overall profit he earned in the transaction?a.24%b.30%c.22.22%d.18.18%
Solution
The seller is using a false weight that is 10% less both when buying and selling. This means that when he buys 100 kg of goods, he only pays for 90 kg. Similarly, when he sells 90 kg of goods, he receives payment for 100 kg.
Let's calculate the profit percentage:
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When buying, he gets 100 kg of goods for the price of 90 kg. So, he gets 100/90 = 1.1111 times (or 11.11% more) goods for his money.
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When selling, he receives payment for 100 kg while selling only 90 kg. So, he gets 100/90 = 1.1111 times (or 11.11% more) money for his goods.
The overall profit percentage is not simply the sum of these two percentages. Instead, it is the product of the two gains, subtracted by 1, and then multiplied by 100 to convert it into a percentage.
So, the overall profit percentage = [(1.1111 * 1.1111) - 1] * 100 = 23.456 - 100 = 23.456%
However, this is not an option in the given choices. The closest option is 22.22%, but this is not the correct answer. There seems to be a mistake in the question or the options provided.
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