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A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains 61847%6 \frac{18}{47}\%. For a kg, he uses a weight of

Solution

Correct Option: 1

Given profit = 61847%6\frac{18}{47}\% = 30047%\frac{300}{47}\%

If actual weight is xx grams and selling price is shown as cost price:

1000xx×100=30047\frac{1000-x}{x} × 100 = \frac{300}{47}

1000xx=3004700\frac{1000-x}{x} = \frac{300}{4700}

1000x=300x47001000-x = \frac{300x}{4700}

4700(1000x)=300x4700(1000-x) = 300x

47000004700x=300x4700000 - 4700x = 300x

4700000=5000x4700000 = 5000x

x=940x = 940

Therefore, the dealer uses a weight of 940 grams.

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