A dishonest dealer sells his goods at the cost price and still earns a profit of 20% by under weighing. What weight does he use for a kg?a.750.63gramsb.200gramsc.800gramsd.833.34grams
Question
A dishonest dealer sells his goods at the cost price and still earns a profit of 20% by under weighing. What weight does he use for a kg?a.750.63gramsb.200gramsc.800gramsd.833.34grams
Solution 1
The dealer is making a profit by under-weighing, which means he is giving less than the actual weight. If he is making a 20% profit by selling at cost price, it means he is giving 20% less weight.
1 kg = 1000 grams
20% of 1000 grams = 200 grams
So, if he is giving 20% less weight for 1 kg, he is giving 1000 grams - 200 grams = 800 grams.
So, the dealer uses 800 grams for a kg.
Therefore, the answer is c. 800 grams.
Solution 2
The dealer claims to sell his goods at cost price but still makes a profit by under-weighing. This means that for every 1kg of goods, he is actually giving less than 1kg.
Let's denote the actual weight he gives as 'W'.
Since he makes a 20% profit, this means that 1kg of goods actually costs him only 80% of the selling price.
So, if he sells 1kg of goods, he actually gives 'W' grams such that the cost of 'W' grams is equal to 80% of the cost of 1kg.
This can be written as: W = 80% of 1kg W = 0.8 * 1000 grams W = 800 grams
So, the dealer uses 800 grams for a kg.
Therefore, the correct answer is c. 800 grams.
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