Mathematics

The total cost price includes the cost of paper sheets (Rs. 7200), transport (Rs. 200), and making boxes (Rs. 600), totaling Rs. 8000. The total selling price is 330 boxes × Rs. 28 = Rs. 9240. The profit is Rs. 9240 - Rs. 8000 = Rs. 1240. The profit percentage is (1240 / 8000) × 100 = 15.5%. Therefore, the correct answer is option A (15.5%).

The cost price is 64% of the marked price. After a 12% discount, the selling price is 88% of the marked price. Gain percent = [(Selling Price - Cost Price) / Cost Price] × 100 = [(0.88 - 0.64) / 0.64] × 100 = 37.5%.

Given: Mahad sold the article for Rs. 18000. If he offered a 10% discount on the selling price, the selling price after discount would be Rs. 18000 - 10% of 18000 = Rs. 16200. This discounted selling price corresponds to an 8% profit. Using the profit formula: Selling Price = Cost Price × (1 + Profit %), we get Cost Price = Selling Price / (1 + Profit %) = 16200 / 1.08 = Rs. 15000. Therefore, the cost price of the article is Rs. 15000, which corresponds to option A. The original answer marked as B (Rs. 16200) is incorrect as it is the discounted selling price, not the cost price.

The owner charges 24% more than the cost price, so the selling price is 124% of the cost price. Given the selling price is Rs. 8339, the cost price can be calculated as Rs. 8339 ÷ 1.24 = Rs. 6725. This matches option D, confirming it is the correct answer.

To gain a 20% profit by using a false weight while selling at cost price, the dealer must give less weight than 1 kg. The actual weight given is 1/(1+0.20) = 5/6 kg = 833 1/3 grams. Hence, option B is correct.

The profit share is divided in the ratio of investments. The ratio of A:B:C is 6300:4200:10500, which simplifies to 3:2:5. Total parts = 3+2+5=10. A's share = (3/10)*12100 = Rs.3630.

The cost price for 11 books is Rs. 10, so the cost price per book is 10/11 Rs. The selling price for 10 books is Rs. 11, so the selling price per book is 11/10 Rs. Total selling price for 11 books is (11/10)*11 = Rs. 12.1. Profit = 12.1 - 10 = Rs. 2.1. Profit percent = (2.1/10)*100 = 21%.

Let the cost price of one ball be Rs. x. Total cost price of 17 balls = 17x. Loss = cost price of 5 balls = 5x. Selling price = Rs. 720. Since loss = cost price - selling price, 17x - 720 = 5x, which simplifies to 12x = 720, so x = 60. However, this contradicts the options, so rechecking: loss = 5 balls cost price, so loss = 5x; selling price = 720; cost price = 17x; loss = cost price - selling price => 5x = 17x - 720 => 720 = 12x => x = 60. So cost price per ball is Rs. 60, which corresponds to option D. Therefore, the original correct answer D is correct. The initial confusion was in the explanation calculation. The cost price per ball is Rs. 60.

The problem states that the gain (profit) is 20% of the selling price (SP). Let the selling price be S. Then the gain is 0.2S. The cost price (CP) is given as Rs. 400. Since gain = SP - CP, we have 0.2S = S - 400. Rearranging, 0.2S = S - 400 => 0.8S = 400 => S = 400 / 0.8 = 500. Therefore, the selling price is Rs. 500, which corresponds to option D. The original answer 'C' (Rs. 440) is incorrect based on this calculation.

The retailer orders 5 dozen (60 boxes) and receives an extra dozen (12 boxes) free, so the discount is the value of free boxes over the total boxes received: 12/(60+12) = 12/72 = 1/6 = 16 1/6%.