Profit, Loss and Discount

Let CP = x. Profit % = x%. SP = CP + (x/100)*x = x + x^2/100 = 96. x^2 + 100x - 9600 = 0. (x+160)(x-60) = 0. Since CP must be positive, x = 60.

Profit = SP of 6 mangoes. Total SP = 60 mangoes. CP = SP - Profit = SP of 54 mangoes. Profit % = (Profit / CP) * 100 = (6 / 54) * 100 = 1/9 * 100 = 11.11%.

He mixes 1 litre water in 4 litres milk. The cost is for 4 litres, but he sells 5 litres. Profit = (1/4) * 100 = 25%.

The grocer uses 900g instead of 1000g. His profit is on the cost of 900g, so he gains 100g for every 900g sold. Profit percentage = (100 / 900) * 100 = 11.11%.

Let the cost price be 100. The marked price is 60% above the cost price, which is 160. A discount of 25% on the marked price reduces the selling price to 160 * 0.75 = 120, resulting in a gain of 20%.

Marked price = 504. Discount 5% means sale price = 504 * 0.95 = 478.8. Profit 20% means SP = CP * 1.2. CP = 478.8 / 1.2 = 399.

Let SP be S. Anshu's profit is 0.25S. Rinku's profit is 0.25 * (Cost Price). Since Rinku's profit is 25% of CP, CP = S/1.25 = 0.8S. Rinku's profit is 0.25 * 0.8S = 0.2S. The difference is 0.25S - 0.2S = 0.05S = 100, so S = 2000.

Let CP = x. SP = 1.2x. New CP = 0.8x. New SP = 1.2x - 180. Profit = 25%, so 1.2x - 180 = 1.25 * 0.8x = 1x. 0.2x = 180 => x = 900.

Let Cost = 100. Profit = 40, so Selling Price = 140. New Cost = 120. Selling Price remains 140. New Profit = 140 - 120 = 20. Profit as percentage of selling price = (20 / 140) * 100 = 100/7 = 14.28%.

When two items are sold at the same CP, one at x% profit and one at x% loss, the net result is always (Profit% - Loss%)/2 = 0%.

Selling Price = 1500 - 40% of 1500 = 1500 - 600 = 900. Profit is 20% on Cost Price (CP). So, 1.2 * CP = 900. CP = 900 / 1.2 = 750.

A loss of 10% on a cost price of Rs 120 means the selling price is 90% of the cost price. Calculating 0.90 * 120 results in Rs 108.

Discount = 12% of 1200 = 0.12 * 1200 = 144. Selling price = 1200 - 144 = 1056.