Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A dishonest shopkeeper promises to sell the goods at 5% profit but he uses 10% less weight. Find the actual profit percentage earned by the shopkeeper. Quantity B: A shopkeeper sells 32 oranges for Rs. 1 at 40% loss. How many oranges for a rupee should he sell to earn 20% profit?
Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A dishonest shopkeeper promises to sell the goods at 5% profit but he uses 10% less weight. Find the actual profit percentage earned by the shopkeeper. Quantity B: A shopkeeper sells 32 oranges for Rs. 1 at 40% loss. How many oranges for a rupee should he sell to earn 20% profit? Correct Answer Quantity A > Quantity B
Quantity A:
Suppose the cost price of 1000 gm goods is Rs. 1000;
Since he sells the goods at 5% profit;
∴ Selling price of 1000 gm goods = Rs. 1050
But he uses 10% less weight that means he gives 900 gm goods for Rs. 1050;
∴ Actual selling price of 1000 gm goods = (1050/900) × 1000 = Rs. 1166.67
∴ Actual profit earned by the shopkeeper = (1166.67 – 1000)/1000 = 16.67%
Quantity B:
Since the shopkeeper sells 32 oranges for Rs. 1;
∴ Selling price of 1 orange = Rs. 1/32
He suffers a loss of 40%;
∴ Cost price of 1 orange = (1/32)/0.6 = Rs. (1/19.2)
Selling price of 1 orange for earning 20% profit = (1/19.2) × 1.2 = Rs. 1/16
∴ He should sell 16 oranges for Rs. 1 to earn 20% profit.
∴ Quantity A > Quantity B