Question : A grocer claims that he is selling sugar at Rs. 48/kg, which costs him Rs. 50/kg, but he is giving 900 g instead of 1000 g. What will be the approximate percentage profit?
Option 1: 7.5%
Option 2: 5.5%
Option 3: 8.5%
Option 4: 6.7%
Correct Answer: 6.7%
Solution :
The rate at which the shopkeeper bought the sugar packet = Rs. 50/ kg
The rate at which the shopkeeper sold the sugar packet = Rs. 48/ kg
Weight of sugar packet he claims to sell = 1000 g = 1 kg
Actual weight of sugar packet = 900 g = 0.9 kg
Selling Price (SP) of one packet according to 1 kg of weight, $SP$ = Rs. 48
Cost Price (CP) of 0.9 kg sugar packet, CP = 50 × 0.9 = Rs. 45
Profit percentage = $\frac{SP-CP}{CP}\times 100$
= $\frac{48-45}{45}\times 100$
= $6.7$%
Hence, the correct answer is 6.7%.
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