# Quant question

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A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 20% impurities to the product. Find the net profit percentage of the dealer...
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If f(n) is the number of solution sets (x, y) for the equation x + 2y = n, such that x, y and n are all whole numbers, what is the value of the expression X = f(870) − f(868)?
OPTIONS

1) −2
2) −1
3) 0
4) 1
5) 2
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profit due to impurities is 25%

profit due to false weighing is 25%, cumulative profit will be 25+25+25*25/100=56.25%
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56.25%

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A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 20% impurities to the product. Find the net profit percentage of the dealer?