Quantity B: A shopkeeper sells 32 oranges for Rs. 1 at 40% loss. How m

1.	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?1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B
Answer» 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

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?1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A ≥ Quantity B4). Quantity A ≤ Quantity B

Answer»

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