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The MCQs below are drawn from the Applied Mathematics subject category.
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661
A trader sells two scooters for Rs. 19,550 each, making a 15% gain on one and a 15% loss on the other. What is the overall percentage gain or loss?
When two items are sold at the same price with an equal percentage gain and loss (r%), the overall result is always a loss. The formula for this loss percentage is (r/10)^2. Substituting r = 15, we get (15/10)^2 = 1.5^2 = 2.25%. Therefore, there is a 2.25% loss.
662
If an item sold for Rs. 50,000 yields a 17% profit, what would be the profit percentage if the item were sold for Rs. 47,000?
Given a selling price of 50,000 with a 17% profit, the cost price is 50,000 / 1.17, which is approximately 42,735. If the new selling price is 47,000, the profit is 47,000 - 42,735 = 4,265. The profit percentage is (4,265 / 42,735) * 100, which is approximately 9.98%.
663
An item is sold for Rs. 25.00, representing a 25% profit over the cost price. Calculate the original cost price.
The selling price is 125% of the cost price (CP). Therefore, 1.25 * CP = 25. Dividing 25 by 1.25 yields a cost price of 20. The profit is 25% of 20, which is 5, confirming the selling price of 25.
664
Saleem purchased a pair of shoes for Rs. 300 and sold them for Rs. 380. Determine the profit earned from this transaction.
Profit is calculated by subtracting the cost price from the selling price. In this case, subtracting the purchase price of Rs. 300 from the selling price of Rs. 380 results in a profit of Rs. 80.
665
Sadiq buys a plot for Rs. 8,000. He sells it to Abid at a 20% profit, and Abid sells it to Arif at a 20% loss. What is the final cost to Arif?
The calculation involves two steps: first, increasing 8000 by 20% (8000 * 1.2 = 9600), then decreasing that result by 20% (9600 * 0.8 = 7680). Thus, the final price paid by Arif is Rs. 7680.
666
Majid purchased a pair of shoes for Rs. 300 and subsequently sold them for Rs. 370. Calculate the total profit earned.
Profit is determined by subtracting the cost price from the selling price. In this scenario, subtracting the purchase price of Rs. 300 from the selling price of Rs. 370 results in a total profit of Rs. 70.
667
A shopkeeper sells a watch for Rs. 560, resulting in a 20% loss. What was the original cost price of the watch?
A loss of 20% means the selling price is 80% of the cost price. By setting up the equation 0.80 * Cost Price = 560, we divide 560 by 0.80 to find the original cost price, which equals Rs. 700.
668
Calculate the property tax on a property valued at Rs. 650,000 if the tax rate is 1.8%.
To calculate the property tax, multiply the total property value by the tax rate expressed as a decimal. Converting 1.8% to a decimal gives 0.018. Multiplying 650,000 by 0.018 results in 11,700. Therefore, the total property tax due is Rs. 11,700.
669
A merchant purchases an item for Rs. 27.00 and sells it at a profit equivalent to 10% of the selling price. Calculate the selling price of the item.
To find the selling price (SP), we use the formula: Profit = SP - Cost Price. Given that profit is 10% of SP, we have 0.1SP = SP - 27. Rearranging the equation gives 0.9SP = 27, which simplifies to SP = 27 / 0.9 = 30. Therefore, the selling price is Rs. 30.
670
A bookseller sells a book for Rs. 40.00, achieving a 15% profit. What should the selling price be to earn a 20% profit?
First, find the cost price (CP) by dividing the selling price by 1.15 (40 / 1.15 ≈ 34.7826). To achieve a 20% profit, multiply the CP by 1.20 (34.7826 * 1.20 ≈ 41.7391). Rounding this to the nearest cent gives Rs. 41.74.
