Mathematics

Let the printed price be P and the cost price be C. The selling price (SP) is 10% discount on printed price, so SP = 0.9 × P. The shopkeeper earns 12% profit on cost price, so SP = 1.12 × C. Equating, 1.12 × C = 0.9 × P, which gives C/P = 0.9/1.12 = 45/56. Therefore, the ratio of cost price to printed price is 45:56, which corresponds to option A.

The total cost price is Rs. 16000 + Rs. 6250 = Rs. 22250. The selling price is Rs. 31150. Profit = 31150 - 22250 = Rs. 8900. Profit percentage = (8900 / 22250) × 100 ≈ 40%. Hence, option C is correct.

Given the ratio 4:5:7, let the common multiplier be x. The difference between the costliest and cheapest cars is 7x - 4x = 3x = 60000, so x = 20000. The modest price corresponds to 5x = 5 * 20000 = Rs. 100000.

The trader marks the price 30% above cost price, so Marked Price = 1.3 × Cost Price. A 10% discount on the marked price means the selling price = 0.9 × Marked Price = 0.9 × 1.3 × Cost Price = 1.17 × Cost Price. Given gain = Rs.340, so Selling Price - Cost Price = 340, which gives 1.17 × Cost Price - Cost Price = 340, or 0.17 × Cost Price = 340. Solving, Cost Price = 340 / 0.17 = Rs.2000.

Let the cost price be Rs. x. Profit when selling at Rs. 425 is (425 - x), and loss when selling at Rs. 355 is (x - 355). Given they are equal, 425 - x = x - 355, solving gives x = Rs. 390. However, checking options, Rs. 390 is option B, so the correct answer is B, not A. Rechecking: 425 - 390 = 35 profit, 390 - 355 = 35 loss, equal indeed. So correct answer is B.

Given that selling 12 oranges for one rupee results in a 20% loss, the cost price (CP) of 12 oranges can be calculated as follows: Since selling price (SP) is 1 rupee for 12 oranges and this is 80% of CP (because of 20% loss), CP = 1 / 0.8 = 1.25 rupees for 12 oranges. To gain 20%, the selling price should be 120% of CP, i.e., SP = 1.25 × 1.2 = 1.5 rupees for 12 oranges. Now, to find how many oranges should be sold for 1 rupee to gain 20%, we calculate the number of oranges per rupee as (12 oranges) / (1.5 rupees) = 8 oranges per rupee. Therefore, the man should sell 8 oranges for one rupee to gain 20%. The original answer (15 oranges) and explanation were incorrect and inconsistent with the calculations.

If selling at Rs. 5.40 per kg results in a 10% loss, the cost price (CP) is Rs. 6.00 (since 5.40 = 90% of CP). To earn a 20% profit, the selling price should be 120% of CP, which is Rs. 7.20. However, option D is Rs. 7.20, but the calculation shows Rs. 7.20, so option D is correct. Rechecking: CP = 5.40 / 0.9 = 6.00; required SP = 6.00 * 1.20 = 7.20. So option D is correct. The initial correct_answer was D, which matches the calculation. Explanation was missing and has been added. Difficulty set to medium as it involves percentage profit and loss calculations.

If the man gains 20% by selling at price P, then the cost price (C) is P/1.2. Selling at double the price (2P) results in profit = 2P - C = 2P - P/1.2 = 2P - 0.8333P = 1.1667P. The profit percentage = (Profit / Cost Price) × 100 = (1.1667P / (P/1.2)) × 100 = 1.1667 × 1.2 × 100 = 140%. Therefore, the profit percentage when selling at double the original price is 140%.

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%.

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.

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 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%.

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.

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 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.

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 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%.

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 marked price is 10% above cost price, so marked price = 110% of cost price. The trader suffers a 1% loss, so selling price = 99% of cost price. The discount = (marked price - selling price) / marked price = (110% - 99%) / 110% = 11% / 110% = 10.0%. However, this calculation shows 10%, but let's verify carefully: Selling price = 99% of cost price; Marked price = 110% of cost price; Discount = (110% - 99%) / 110% = 11% / 110% = 10%. So discount is 10%. But the options include 10% as A and 10.5% as B. The correct discount is 10%, so option A is correct. Therefore, the original correct_answer 'A' is correct. Explanation updated accordingly.

The price decreased by 20%, so the new price is 80% of the original. The quantity sold increased by 40%, so the new quantity is 140% of the original. The new sales amount is 0.8 × 1.4 = 1.12, which is a 12% increase in sales.

First, calculate the cost price per kg of the mixture: ((24 kg × Rs.150) + (36 kg × Rs.125)) / (24 + 36) = (3600 + 4500) / 60 = Rs.135 per kg. To make a 40% profit, selling price = 135 × 1.40 = Rs.189 per kg.

The cost price per article is Rs. 25/15 = Rs. 5/3. The selling price per article is Rs. 30/12 = Rs. 2.5. Profit per article = 2.5 - 5/3 = 2.5 - 1.6667 = 0.8333. Profit percentage = (0.8333 / 1.6667) × 100 = 50%. However, this calculation seems off; let's re-check carefully: Cost price for 15 articles = Rs. 25, so cost price per article = 25/15 = Rs. 1.6667. Selling price for 12 articles = Rs. 30, so selling price per article = 30/12 = Rs. 2.5. Profit per article = 2.5 - 1.6667 = 0.8333. Profit percentage = (0.8333 / 1.6667) × 100 = 50%. So the profit percentage is 50%, which matches option B. Therefore, the correct answer is B.

Initially, profit is 320% of cost, so selling price = cost + profit = 100% + 320% = 420% of cost. When cost increases by 25%, new cost = 125% of original cost, but selling price remains 420% of original cost. New profit = selling price - new cost = 420% - 125% = 295% of original cost. To find profit as a percentage of selling price: (295% / 420%) × 100% ≈ 70%.

Since the cost price (C.P) is 40% of the selling price (S.P), the selling price is 100% of itself. To find what percent the S.P is of the C.P, we calculate (S.P / C.P) × 100 = (100% / 40%) × 100 = 250%.

Let the marked price be M and cost price be C. Given selling price after 15% discount is 6800, so 0.85M = 6800 => M = 8000. Selling at marked price gives 60% profit, so M = 1.6C => 8000 = 1.6C => C = 5000. Hence, the cost price is Rs. 5000.