This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
Step 1: Calculate the retailer's cost price (RCP). The retail selling price (RSP) is 576 Taka, and the retailer makes a 20% profit. Let the retailer's cost price be C_R. C_R + 0.20 C_R = 576 1.20 C_R = 576 C_R = (576)/(1.20) C_R = 480 Taka The retailer's cost price is the wholesaler's selling price (WSP). So, WSP = 480 Taka. Step 2: Calculate the wholesaler's cost price (WCP). The wholesaler's selling price (WSP) is 480 Taka, and the wholesaler makes a 20% profit. Let the wholesaler's cost price be C_W. C_W + 0.20 C_W = 480 1.20 C_W = 480 C_W = (480)/(1.20) C_W = 400 Taka The cost price for the wholesaler is 400 Taka. 400 Taka Step 1: Calculate the cost price (CP) of the lentils. The shopkeeper sold the lentils for 2075 Taka and incurred a 5% loss. Let the cost price be C. C - 0.05 C = 2075 0.95 C = 2075 C = (2075)/(0.95) C = 2184.2105 Taka (approximately) Step 2: Calculate the selling price (SP) required to make a 5% profit. To make a 5% profit, the selling price should be C + 0.05 C = 1.05 C. SP = 1.05 × 2184.2105 SP = 2293.421025 Taka Rounding to two decimal places: SP ≈ 2293.42 Taka The shopkeeper should sell the lentils for 2293.42 Taka to make a 5% profit. 2293.42 Taka Step 1: Determine the total cost price (CP) for an equal number of bananas from both rates. Let's assume the shopkeeper bought 30 bananas at each rate (LCM of 10 and 15). Cost of 30 bananas at 10 for 30 Taka: Since 10 bananas cost 30 Taka, 30 bananas cost 3 × 30 = 90 Taka. Cost of 30 bananas at 15 for 30 Taka: Since 15 bananas cost 30 Taka, 30 bananas cost 2 × 30 = 60 Taka. Total bananas bought = 30 + 30 = 60 bananas. Total cost price (CP) = 90 + 60 = 150 Taka. Step 2: Determine the total selling price (SP) for all bananas. All 60 bananas are sold at a rate of 12 for 30 Taka. Since 12 bananas sell for 30 Taka, 60 bananas (which is 5 × 12) will sell for 5 × 30 = 150 Taka. Total selling price (SP) = 150 Taka. Step 3: Calculate the percentage profit or loss. Profit/Loss = SP - CP Profit/Loss = 150 - 150 = 0 Taka. Since the profit/loss is 0, there is no profit or loss. There will be no profit or loss. 0% profit or loss Step 1: Identify the given values. Principal (P) = 2000 Taka Time (T) = 5 years Annual interest rate (R) = 10.50% (assuming percentage, as "10.50 Taka" for a rate is not standard) Step 2: Apply the simple interest formula. The formula for simple interest (I) is: I = (P × R × T)/(100) Substitute the given values: I = (2000 × 10.50 × 5)/(100) I = (105000)/(100) I = 1050 Taka The interest will be 1050 Taka. 1050 Taka Step 1: Calculate the interest with the initial rate (10%). Principal (P) = 3000 Taka Time (T) = 3 years Initial rate (R_1) = 10% I_1 = (P × R_1 × T)/(100) I_1 = (3000 × 10 × 3)/(100) I_1 = (90000)/(100) I_1 = 900 Taka Step 2: Calculate the interest with the decreased rate (8%). Principal (P) = 3000 Taka Time (T) = 3 years Decreased rate (R_2) = 8% I_2 = (P × R_2 × T)/(100) I_2 = (3000 × 8 × 3)/(100) I_2 = (72000)/(100) I_2 = 720 Taka Step 3: Calculate the difference in interest. Difference = I_1 - I_2 Difference = 900 - 720 Difference = 180 Taka The interest will be 180 Taka less. 180 Taka