A man purchased sugar worth Rs. 1500. He sold 5/8th at a loss of 15% and the remainder at a gain of 15%. On the whole, he gets?

To solve this problem, we need to calculate the selling price of the sugar sold at a loss and the selling price of the sugar sold at a gain, then compare the total selling price to the original cost.

Step 1: Calculate the cost of the sugar sold at a loss The man sold 5/8th of the sugar at a loss. So, the cost of this sugar is 5/8 * 1500 = Rs. 937.5

Step 2: Calculate the selling price of the sugar sold at a loss He sold this sugar at a loss of 15%. So, the selling price is 937.5 * (1 - 15/100) = Rs. 796.875

Step 3: Calculate the cost of the sugar sold at a gain The man sold the remaining 3/8th of the sugar at a gain. So, the cost of this sugar is 3/8 * 1500 = Rs. 562.5

Step 4: Calculate the selling price of the sugar sold at a gain He sold this sugar at a gain of 15%. So, the selling price is 562.5 * (1 + 15/100) = Rs. 646.875

Step 5: Calculate the total selling price The total selling price is the sum of the selling price of the sugar sold at a loss and the selling price of the sugar sold at a gain. So, the total selling price is 796.875 + 646.875 = Rs. 1443.75

Step 6: Compare the total selling price to the original cost The original cost of the sugar is Rs. 1500. The total selling price is Rs. 1443.75. So, the man gets a loss of 1500 - 1443.75 = Rs. 56.25 on the whole.