A dishonest dealer professes to sell his goods at the cost price but uses a…
2024
A dishonest dealer professes to sell his goods at the cost price but uses a weight of 800 gm instead of 1kg. Find his real gain percent.
- A.
20%
- B.
25%
- C.
30%
- D.
22.5%
Attempted by 9 students.
Show answer & explanation
Correct answer: B
Key idea: the dealer charges for 1 kg but actually gives only 800 g, so compute profit relative to the cost of the 800 g given.
Step 1: Take a convenient value for the cost price of 1 kg. Let CP of 1 kg = Rs 100.
Step 2: Cost of 800 g = 800/1000 × 100 = Rs 80.
Step 3: The dealer receives the price of 1 kg (Rs 100) while supplying goods worth Rs 80, so profit = Rs 20.
Step 4: Profit percent = (profit / actual cost) × 100 = (20 / 80) × 100 = 25%.
Therefore, the dealer's real gain percent is 25%.