JIPMAT 2021 (QA) - A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains 6 18/47\%. For a kg, he uses a weight of | PYQs + Solutions

JIPMAT 2021

Arithmetic

Profit & Loss

Conceptual

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

940 g

947 g

953 g

960 g

Correct Option: 1

Given profit =

6\frac{18}{47}\%

\frac{300}{47}\%

If actual weight is

x

grams and selling price is shown as cost price:

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

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

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

4700(1000-x) = 300x

4700000 - 4700x = 300x

4700000 = 5000x

x = 940

Therefore, the dealer uses a weight of 940 grams.

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Multiplying Factor

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Dishonest Seller (Using MF)

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Dishonest Seller (Customer)