Mathematics

A 25% rebate on a shirt costing Rs. 32 means a rebate of Rs. 8 per shirt (25% of 32). To get a total rebate of Rs. 40, one must buy 40 ÷ 8 = 5 shirts. However, the options and calculation show 5 as option B, but the correct answer is 5, so the original correct_answer was B, which is correct. Rechecking: 25% of 32 = 8; 40 ÷ 8 = 5. So the correct answer is B, not C. The initial correction was wrong. The original correct_answer B is correct.

Given that the selling price of 50 articles equals the cost price of 40 articles, the selling price per article is (cost price of 40 articles) / 50 = (40/50) times the cost price per article = 0.8 times the cost price. This means the selling price is 80% of the cost price, resulting in a loss. The loss percentage is calculated as ((cost price - selling price) / cost price) × 100 = ((1 - 0.8) × 100) = 20%. Therefore, there is a 20% loss, which corresponds to option A.

The dealer marks goods 20% above cost price, so marked price = 120% of cost. He makes an 8% profit after discount, so selling price = 108% of cost. The discount is the difference between marked price and selling price, which is 120% - 108% = 12%. Hence, the discount rate is 12%.

The shopkeeper buys two articles for Rs. 1000 each, so total cost price = Rs. 2000. He sells the first article at 20% profit, so selling price of first article = 1000 + 20% of 1000 = Rs. 1200. He sells the second article at 20% loss, so selling price of second article = 1000 - 20% of 1000 = Rs. 800. Total selling price = 1200 + 800 = Rs. 2000, which is equal to the total cost price. Therefore, there is no net profit or loss, and the net profit or loss percent is 0%. Hence, the correct answer is 'neither profit nor loss' (Option A).

Given the ratio of cost price (CP) to selling price (SP) is 4:5, the profit is SP - CP = 5x - 4x = x. Profit percent = (Profit/CP) * 100 = (x/4x)*100 = 25%.

The cost price (CP) is Rs. 250 (since selling at Rs. 300 gives 20% gain). The marked price (MP) is Rs. 300. During the sale, a 10% discount on MP means selling price (SP) = 300 - 10% of 300 = Rs. 270. Gain = SP - CP = 270 - 250 = Rs. 20. Gain percent = (20/250)*100 = 8%. However, the options given are 7, 7.5, 8, and 9, and the correct gain percent is 8%. So the correct answer should be C, not B. Rechecking calculations: CP = SP / (1 + gain%) = 300 / 1.2 = 250; SP during sale = 300 * 0.9 = 270; Gain = 270 - 250 = 20; Gain% = (20/250)*100 = 8%. Therefore, the original correct answer C is correct. The explanation was missing and has been added. Difficulty is medium due to percentage calculations and discount concepts. Tags added accordingly.

Let the labelled price be Rs. x. With 20% discount, Tarun pays 0.8x. With 25% discount, he would pay 0.75x. The difference in price is 0.8x - 0.75x = 0.05x, which equals Rs. 500. So, 0.05x = 500, giving x = 10000. The price Tarun paid is 80% of 10000 = Rs. 8000, but this is not an option. The question asks for the price he bought the TV, so the labelled price is Rs. 10000, and the price he paid is Rs. 8000. Since Rs. 8000 is not an option, the closest correct labelled price is Rs. 10000 (option B). However, the question asks for the price he bought the TV, so the correct answer should be Rs. 8000, which is missing. Among the options, Rs. 16000 (option D) is incorrect. Therefore, the question and options are inconsistent. Given this, the labelled price is Rs. 10000, and the price he paid is Rs. 8000. Since Rs. 8000 is not an option, the best answer is Rs. 10000 (option B) as the labelled price. The question should be rephrased or options corrected.

Let the marked price be 100 units. The shopkeeper offers a 5% discount, so the selling price is 95 units. Given a profit of 23.5%, the cost price (CP) can be calculated as CP = Selling Price / (1 + Profit%) = 95 / 1.235 ≈ 76.9 units. If no discount was offered, the selling price would be the full marked price of 100 units. The profit percentage without discount would then be ((100 - 76.9) / 76.9) × 100 ≈ 30%. Therefore, the correct answer is 30%, option C.

Let the cost price be Rs. x. The percentage profit equals the percentage loss, so (1920 - x)/x = (x - 1280)/x. Solving gives x = Rs.1600. To make 25% profit, selling price = 1600 + 25% of 1600 = Rs. 2000. However, option A is Rs. 2000, which matches this calculation, so the correct answer is A, not C. Rechecking the calculation: (1920 - x)/x = (x - 1280)/x implies 1920 - x = x - 1280, so 2x = 3200, x = 1600. Selling price for 25% profit = 1600 * 1.25 = Rs. 2000. Therefore, correct answer is A.

The greatest possible profit per book is when the book is bought at the lowest price (Rs. 200) and sold at the highest price (Rs. 425), giving a profit of Rs. 225 per book. For 8 books, the greatest possible profit is 8 × Rs. 225 = Rs. 1800. Since Rs. 1800 is not among the given options, the correct choice is 'None of these' (Option D). The previously given answer (Rs. 600) is incorrect because it does not represent the maximum possible profit based on the given price ranges.