Profit is calculated as the selling price minus the cost price, which is 600 - 400 = 200. The profit percentage is determined by dividing the profit by the cost price and multiplying by 100: (200 / 400) * 100 = 50%.
692
An item sold for Rs. 45 results in a 10% loss. Calculate the gain percentage if the item is sold for Rs. 65.
A 10% loss means the selling price is 90% of the cost price (CP). Thus, 0.9 * CP = 45, which gives CP = 50. If the item is sold for 65, the profit is 65 - 50 = 15. The gain percentage is (15/50) * 100 = 30%.
693
Ali purchased a table for Rs. 1000 and sold it for Rs. 800. Calculate the percentage loss.
The loss is calculated as Cost Price minus Selling Price, which is 1000 - 800 = 200. The percentage loss is then determined by dividing the loss by the original cost price and multiplying by 100: (200 / 1000) * 100 = 20%. Therefore, the loss percentage is 20%.
694
If the cost price of 10 books is equal to the selling price of 8 books, what is the percentage of profit or loss?
Let the cost price of one book be CP. Then 10 * CP = 8 * SP. This means SP = (10/8) * CP = 1.25 * CP. The profit is SP - CP = 0.25 * CP. The profit percentage is (0.25 * CP / CP) * 100 = 25%.
695
A merchant purchases 400 dozen pencils at Rs. 8.00 per dozen. If half are sold at Rs. 10.50 per dozen and the remainder at Rs. 7.50 per dozen, what is the total profit?
Total cost is 400 * 8 = 3200. Revenue from the first half is 200 * 10.5 = 2100, and from the second half is 200 * 7.5 = 1500. Total revenue is 3600. Profit = 3600 - 3200 = 400.
696
An article is sold for Rs. 118, resulting in a 50% profit. What is the cost price of the article?
The selling price (SP) is equal to the cost price (CP) plus the profit. Given a 50% profit, SP = CP + 0.50 * CP, which simplifies to SP = 1.5 * CP. To find the CP, divide the SP by 1.5 (118 / 1.5). This calculation yields approximately 78.666, which rounds to 78.66.
697
If a city's population grows at an annual rate of 5% and the current population is 185,220, what was the population three years ago?
Using the compound growth formula P_final = P_initial * (1 + r)^n, we set 185,220 = P * (1.05)^3. Calculating (1.05)^3 gives 1.157625. Dividing 185,220 by 1.157625 results in 160,000, which represents the population three years prior to the current count.
698
How many years will it take for a principal amount of Rs. 600 to earn Rs. 300 in simple interest at an annual rate of 10%?
At a 10% annual interest rate, the interest earned on Rs. 600 per year is Rs. 60. To earn a total interest of Rs. 300, you divide the total interest by the annual interest, resulting in 300 divided by 60, which is 5 years.
699
Calculate the principal amount that will grow to Rs. 15,000 at a simple interest rate of 10% per annum over a period of 5 years.
Using the simple interest formula, Amount = P(1 + RT/100). Here, 15000 = P(1 + (10 * 5)/100), which simplifies to 15000 = P(1 + 0.5) or 15000 = 1.5P. Dividing 15000 by 1.5 gives the principal P = 10,000.
700
Calculate the simple interest on a principal of Rs. 500 borrowed for a period of 4 years at an annual interest rate of 11%.
The formula for simple interest is SI = (P * R * T) / 100, where P is the principal, R is the rate, and T is the time. Substituting the values: (500 * 11 * 4) / 100 = 22000 / 100 = Rs. 220.
