Question

A grocer sells rice at Rs. 48 per kg by mixing 50/50 kg priced purchasing at Rs. 40 and Rs. 50 respectively. Find the profit or loss percent.

a) 5% profit
b) 5% loss
c) 10% profit
d) 10% loss

Answer 1

The grocer makes a profit by selling the mixed rice at Rs. 48 per kg when the average cost is Rs. 45 per kg. The profit per kg is Rs. 3, which is a profit percentage of approximately 6.67%.

Step-by-step explanation:

To find the profit or loss percent for the grocer selling rice, we first need to calculate the average cost of the mixed rice. Since the grocer mixes equal quantities (50/50) of rice bought at Rs. 40 and Rs. 50 per kg, we find the average cost:

1. Calculate the total cost of 1 kg of each type of rice: Rs. 40 + Rs. 50 = Rs. 90.
2. Divide by the number of types to find the average cost per kg: Rs. 90 / 2 = Rs. 45.

Now that we know the average cost is Rs. 45 per kg and the selling price is Rs. 48 per kg, we can calculate the profit:

1. Subtract the average cost from the selling price: Rs. 48 - Rs. 45 = Rs. 3 profit per kg.
2. To find the profit percentage, divide the profit per kg by the average cost and multiply by 100: (Rs. 3 / Rs. 45) × 100 = 6.67%.

Therefore, the grocer makes a profit of 6.67%, which is not an option provided in the question. It seems there is a mistake in the options given.