Profit, Loss and Discount

Let CP = x. Profit % = x. Profit = (x/100) * x = x^2/100. SP = CP + Profit = x + x^2/100 = 39. x^2 + 100x - 3900 = 0. (x + 130)(x - 30) = 0. Since CP must be positive, x = 30.

Let Cost = 100. MRP = 155. Retailer buys at 155, sells at 155 * 1.23 = 190.65. Retailer gives 10 percent discount on MRP, so selling price = 155 * 0.9 = 139.5. This is inconsistent with the 23 percent profit claim. Assuming the question asks for manufacturer profit: Manufacturer sells to retailer at 155 * 0.9 = 139.5. Profit = 39.5 percent. Given the options, 13.4 percent is likely derived from a different interpretation of the chain.

Let the cost price of 1g be 1 unit. He sells 900g for the price of 920g (8% loss on 1000g). Profit = (920 - 900) / 900 = 20/900 = 2/90 = 1/45 = 2.22%.

Let label price be L and marked price be M. Cost price C = 0.81L. Selling price S = 0.9M. Profit = 20%, so S = 1.2C = 1.2 * 0.81L = 0.972L. Thus 0.9M = 0.972L, meaning M = 1.08L. The marked price is 8% greater than the label price.

Cost price = 25 / 1.25 = 20. Marked price = 30. Selling price at 10% discount = 30 * 0.9 = 27. Profit = 27 - 20 = 7. Profit percentage = (7/20) * 100 = 35%.

Let CP1 = x, CP2 = 30000 - x. SP1 = 0.85x, SP2 = 1.19(30000 - x). Since SP1 = SP2, 0.85x = 35700 - 1.19x. 2.04x = 35700. x = 17500. The other CP is 12500.

Profit is 25% of the cost price (CP). The difference between SP and CP is the profit, so 0.25 * CP = 200. Thus, CP = 200 / 0.25 = 800. The selling price (SP) is CP + profit = 800 + 200 = 1000.

Let CP be x. 0.05x - 0.04x = 5. Therefore, 0.01x = 5, which means x = 500.

The trader uses a balance showing 1200g for 1000g, effectively gaining 200g per 1000g (20% gain). Adding a 10% markup on top of this, the total profit is calculated as (1 + 0.20) * (1 + 0.10) - 1 = 1.32 - 1 = 32%.

When two items are sold at the same price with x% profit and x% loss, the overall result is always a loss of (x/10)^2 percent. Here, (25/10)^2 = 2.5^2 = 6.25%.

When two items are sold at the same price with the same percentage of profit and loss, the overall result is always a loss. The formula for this loss percentage is (common percentage/10)^2, which is (15/10)^2 = 1.5^2 = 2.25%.

The selling price after a 12% discount on the marked price of Rs. 2,250 is 2,250 * 0.88 = Rs. 1,980. Since the dealer makes a 10% profit, this selling price is equal to 110% of the cost price. Therefore, the cost price is 1,980 / 1.1 = Rs. 1,800.

Selling Price = Cost Price * (1 + Profit%). 40000 = CP * 1.20. CP = 40000 / 1.20 = 40000 * (100/120).

Cost price = 30. Invoice price = 30 * 1.2 = 36. 4/5 of 2000 = 1600 pieces sold. Agent's cost = 1600 * 36 = 57600. Profit margin 25% on cost = 57600 * 1.25 = 72000.