Profit, Loss and Discount

Let the manufacturing cost be 100. After 20% profit, wholesaler pays 120. Wholesaler sells at 25% profit: 120 * 1.25 = 150. Retailer sells at 20% profit: 150 * 1.20 = 180. The increase over 100 is 80%.

CP = 0.96 * SP. Profit = SP - CP = SP - 0.96 * SP = 0.04 * SP. Profit % = (Profit / CP) * 100 = (0.04 * SP / 0.96 * SP) * 100 = (4/96) * 100 = 100/24 = 25/6 = 4.166... = 4 1/6%.

SP1 = 27.50, Profit = 10%. CP = 27.50 / 1.1 = 25. If SP2 = 25.75, Profit = (25.75 - 25) / 25 = 0.75 / 25 = 0.03 = 3%.

10 * SP = 11 * CP. SP/CP = 11/10 = 1.1. Profit = 10%.

Loss = Cost Price - Selling Price = 490 - 465.50 = 24.50. Loss % = (Loss / Cost Price) * 100 = (24.50 / 490) * 100 = 5%.

When selling two items at the same price with equal percentage gain and loss, the overall transaction is always a loss of (x^2)/100 percent. Here, (12^2)/100 = 144/100 = 1.44% loss.

Let MP = 100. CP = 64. Discount = 12%, so SP = 88. Profit = SP - CP = 88 - 64 = 24. Profit % = (24 / 64) * 100 = (3/8) * 100 = 37.5%.

Profit percent is calculated on the Cost Price (CP). If CP is x, then 1.20 * x = 960. Solving for x gives x = 960 / 1.20 = 800.

Let the cost price of one article be CP and selling price be SP. Given 8 * CP = 10 * SP, so SP = 0.8 * CP. The loss is CP - SP = 0.2 * CP, which is a 20% loss.

Total cost = 12,000 for 20 tables. Cost per table = 600. Profit = cost of 4 tables = 4 * 600 = 2,400. Total selling price = 12,000 + 2,400 = 14,400. Selling price per table = 14,400 / 20 = 720.

Cost price of 1 article = 25/15 = 5/3. Selling price of 1 article = 30/12 = 2.5. Profit = 2.5 - 5/3 = 7.5/3 - 5/3 = 2.5/3 = 5/6. Profit % = (Profit / CP) * 100 = (5/6) / (5/3) * 100 = (5/6) * (3/5) * 100 = 0.5 * 100 = 50%.

Let X's cost be C. Y's cost is 1.15C. Y sells to Z at 10% profit, so Y's profit is 0.10 * 1.15C = 0.115C. Setting 0.115C = 23 gives C = 23 / 0.115 = 200.

The trader sells 900g but charges for 1000g. Profit = (1000 - 900) / 900 = 100 / 900 = 1/9. 1/9 as a percentage is 11.11% or 11 1/9%.

The wholesaler's input tax is 12% of Rs. 6,000 and output tax is 12% of Rs. 8,000, so VAT paid is Rs. 240. The retailer's input tax is Rs. 960 and output tax is 12% of Rs. 9,000, so VAT paid is Rs. 120.

Let CP = 100. Discount = 200/3% = 2/3. SP = MP * (1 - 2/3) = MP/3. For no profit/loss, SP = CP = 100. So, MP/3 = 100, MP = 300. Markup = MP - CP = 300 - 100 = 200. Markup percentage = (200/100) * 100 = 200%.