Profit, Loss and Discount

Let CP be x. Profit = 12.5% of x = 0.125x. Loss = 12.5% of x = 0.125x. Difference = 0.125x - (-0.125x) = 0.25x. 0.25x = 13. x = 13 / 0.25 = 52.

50 * CP = 40 * SP => SP/CP = 50/40 = 1.25. Profit = (1.25 - 1) * 100 = 25%.

Cost of 4 pens = 10 / 1.2 = 8.33. Cost of 12 pens = 25. Selling at 10% loss means selling at 90% of cost. Selling price = 0.9 * 25 = 22.5.

CP of 19 = SP of 16. Let CP of 1 be 1. CP of 19 = 19. SP of 16 = 19, so SP of 1 = 19/16. Gain = 19/16 - 1 = 3/16. Gain % = (3/16) * 100 = 300/16 = 75/4 = 18.75%.

Let CP be x. Sales: 520 books at 15 (7800), 168 books at 60% of 15 * 0.6 = 5.4 (907.2), and 112 books at x. Total revenue is 8707.2 + 112x. Total cost is 800x. Profit = 8707.2 - 688x = 1056. Solving gives x = 12.

Selling Price = Marked Price * (1 - discount%) = 17940 * (1 - 0.08) = 17940 * 0.92 = 16504.80.

Let CP be x. 10% loss means SP = 0.9x. 7% profit means SP = 1.07x. Difference = 1.07x - 0.9x = 0.17x. Given 0.17x = 85, so x = 85 / 0.17 = 500.

Marked Price = 60. Discount = 10% of 60 = 6. Selling Price = 60 - 6 = 54. Profit = 20% of Cost Price. 54 = 1.2 * CP, so CP = 54 / 1.2 = 45.

Let marked price be M. Selling price = 0.8M. Profit = 20% of cost = 0.2 * 4000 = 800. Selling price = 4000 + 800 = 4800. 0.8M = 4800, so M = 6000.

Let the marked price be x. After a 15% discount, the selling price is 0.85x. Setting 0.85x = 2176, we get x = 2176 / 0.85 = 2560.

Discount = 12% of 6600 = 0.12 * 6600 = 792. Amount paid = 6600 - 792 = 5808.

Let CP = 100. Marked Price = 150. Discount = 20% of 150 = 30. Selling Price = 150 - 30 = 120. Profit = 120 - 100 = 20%.

Selling price = 552, profit = 15%. Cost price = 552 / 1.15 = 480. If 5% discount is allowed on 552, new SP = 552 * 0.95 = 524.4. Profit = 524.4 - 480 = 44.4. Profit % = (44.4 / 480) * 100 = 9.25%.

The marked price is 3400, and a 10% discount means the selling price is 3400 - 340 = 3060. Since the gain is 220, the cost price is selling price - gain, which is 3060 - 220 = 2840.

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