A grocer professes to sell rice at the cost price, but uses a fake weight of…
2024
A grocer professes to sell rice at the cost price, but uses a fake weight of 870 g for 1 kg. Find his profit percentage (correct to two decimal places).
- A.
15.11%
- B.
14.94%
- C.
18.21%
- D.
11.11%
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Understand the Transaction:
The grocer professes to sell 1 kg (1000 g) of rice at cost price.
However, they actually give only 870 g for every 1 kg sale.
The profit is the difference between the claimed weight and the actual weight used, calculated against the actual cost to the grocer (the fake weight).
Calculate Profit Percentage:
Weight Difference = 1000 g - 870 g = 130 g.
Profit Percentage = (Weight Difference / Actual Weight Sold) * 100.
Profit Percentage = (130 / 870) * 100 ≈ 14.9425...%.
Corrected to two decimal places, this is 14.94%.