A dishonest shopkeeper professes to sell his goods at a 35% loss but uses a false balance and gains 85%. The actual weight (rounded off to one decimal place) he uses for 1 kg is:
351.4 gm
Let the cost price be \(1\) per gram and let the shopkeeper actually hand over \(w\) grams while charging for 1000 grams at a stated 35% loss.
Selling at a 35% loss on the claimed 1000 grams means the money taken corresponds to \(0.65 \times 1000\) worth of goods, but he only parts with \(w\) grams of actual cost.
His real gain is \(\frac{0.65 \times 1000}{w} - 1 = 0.85\).
So \(\frac{650}{w} = 1.85\), giving \(w = \frac{650}{1.85} \approx 351.4\) grams.
Hence, the actual weight used for 1 kg is about 351.4 gm.
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Important Questions from Dishonest Dealings
A merchant claims that he sells his goods at CP. But uses a weight of 900 g for the 1 kg weight. find his gain %
A shopkeeper cheats to the extent of 9% while buying and selling fruits, by using tampered weights. His total gain in percentage is:
A. 18.25
B. 18.81
C. 19.78
D. 18.5
What is the faulty weight used by a dishonest shopkeeper instead of the original weight of 1 kg to get a profit of 25%?
A dishonest financier claims to be lending money at simple interest, but he includes the interest every four months for calculating the principal. If he is charging an interest of 3%, the effective rate of interest becomes:
A dishonest shopkeeper claims to sell rice at the cost price of ₹95 per kg, but the weight he uses has 1 kg written on it, while it actually weighs 950 g. The profit he thus earns on selling rice having an actual weight of 95 kg rice is:
