A fruit seller sells apples at a loss of 5% on the cost price but uses a weight that is 20% less than the actual weight. Find his total profit percentage.
18.75%
Step 1 — Set up. Let CP per kg = ₹100, so customer thinks they are buying 1 kg for \(100 \times 0.95 = \text{₹}95\) (5% loss on claimed CP).
Step 2 — What he actually gives: only \(0.8\text{ kg}\) (weight 20% less). Actual CP of 0.8 kg = \(0.8 \times 100 = \text{₹}80\).
Step 3 — Real profit:
\(\text{Profit} = 95 - 80 = \text{₹}15\)
\(\text{Profit }\% = \dfrac{15}{80} \times 100 = 18.75\%\)
Hence, the seller actually gains 18.75%.
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:
