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The MCQs below are drawn from the Applied Mathematics subject category.
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671
Usama bought a bicycle for Rs. 5200 and spent Rs. 800 on repairs. If he sold it for Rs. 5500, what is his profit or loss percentage?
The total cost price is the purchase price plus repair costs: 5200 + 800 = 6000. Selling price is 5500. The loss is 6000 - 5500 = 500. The loss percentage is (500 / 6000) * 100, which is approximately 8.33%. Option A is the closest provided answer.
672
A VCR was sold for Rs. 10,800, resulting in a 20% loss. Calculate the required selling price to achieve a 12.5% profit.
First, find the cost price (CP) by dividing the selling price by (1 - loss percentage): 10800 / 0.8 = 13500. To gain 12.5%, multiply the CP by 1.125: 13500 * 1.125 = 15187.50. Thus, the required selling price is Rs. 15187.50.
673
A fruit vendor purchases oranges at a rate of 12 for Rs. 20. To achieve a 20% profit, what should be the selling price per orange?
The cost price per orange is Rs. 20 divided by 12, which is approximately Rs. 1.667. To earn a 20% profit, we multiply the cost price by 1.20. This calculation results in a selling price of Rs. 2.00 per orange.
674
A shopkeeper sells 20 pencils for the same revenue as the cost price of 25 pencils. What is the gain percentage?
Let the cost price of one pencil be C. The cost of 25 pencils is 25C. The selling price of 20 pencils is 25C, so the selling price of one pencil is 25C / 20 = 1.25C. The gain is 1.25C - C = 0.25C. The gain percentage is (0.25C / C) * 100 = 25%.
675
A merchant purchases apples at a rate of 6 for Rs. 20 and sells them at a rate of 4 for Rs. 16. Calculate the estimated profit percentage.
The cost price per apple is 20/6 = Rs. 3.33. The selling price per apple is 16/4 = Rs. 4.00. The profit per apple is 4.00 - 3.33 = 0.67. The profit percentage is (0.67 / 3.33) * 100, which is approximately 20%.
676
Hamza purchased a camera for Rs. 1800 and sold it at a loss of 10%. Calculate the final selling price.
To calculate the selling price, we first determine the loss amount, which is 10% of Rs. 1800, equaling Rs. 180. Subtracting this loss from the original cost price of Rs. 1800 results in a final selling price of Rs. 1620.
677
A shopkeeper uses a false balance to cheat customers by providing 20% less quantity than the amount paid for. What is his profit percentage?
If the shopkeeper gives 80 units instead of 100, his cost is for 80 units while he receives payment for 100. The profit is 20 units on a cost of 80 units. Profit percentage = (20 / 80) * 100 = 25%.
678
If the cost price of 21 watches is equivalent to the selling price of 18 watches, what is the percentage gain on this transaction?
Given 21 * CP = 18 * SP, we can derive SP = (21/18) * CP, which simplifies to SP = 1.1667 * CP. This indicates a profit of approximately 16.67%. Among the provided choices, 16% is the closest approximation to the actual calculated gain percentage.
679
A merchant buys 22 pencils for Rs. 20 and sells them at a rate of 10 pencils for Rs. 11. Determine the profit percentage.
The cost price per pencil is 20/22 = 0.9091. The selling price per pencil is 11/10 = 1.1. Profit is 1.1 - 0.9091 = 0.1909. Profit percentage is (0.1909 / 0.9091) * 100, which is approximately 21%.
680
Akbar purchased a sweater for Rs. 200 and subsequently sold it for Rs. 250. Calculate the profit earned from this transaction.
Profit is defined as the difference between the selling price and the cost price. In this scenario, the selling price is Rs. 250 and the cost price is Rs. 200. Subtracting the cost price from the selling price (250 - 200) yields a profit of Rs. 50. This represents the net gain from the sale of the item.
