This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Problem 1: Stove Price Step 1: Calculate the Cost Price (CP) of the stove. The stove was sold for Rs.423 at a loss of 6%. This means Rs.423 represents 100\% - 6\% = 94\% of the Cost Price. CP = Selling Price1 - Loss Percentage = (423)/(1 - 0.06) = (423)/(0.94) = 450 The Cost Price of the stove is Rs.450. Step 2: Calculate the new Selling Price (SP) to earn an 8% profit. To earn an 8% profit, the new selling price should be 100\% + 8\% = 108\% of the Cost Price. New SP = CP × (1 + Profit Percentage) = 450 × (1 + 0.08) = 450 × 1.08 = 486 The stove should be sold for Rs.486 to earn a profit of 8%. The correct option is d). Rs.486 Problem 2: HRA Calculation Step 1: Identify the basic pay and HRA percentage. The employee's pay is Rs.50,000. The HRA (House Rent Allowance) at the new station is 27% of the pay. Step 2: Calculate the HRA. HRA = Pay × HRA Percentage = 50000 × 0.27 HRA = 13500 The HRA at the new station is Rs.13,500. The correct option is c). Rs.13500 Problem 3: Total Amount in Bag Step 1: Calculate the total value from Rs.500 notes. There are 10 notes of Rs.500. Value of Rs.500 notes = 10 × 500 = 5000 Step 2: Calculate the total value from Rs.100 notes. There are 20 notes of Rs.100. Value of Rs.100 notes = 20 × 100 = 2000 Step 3: Calculate the total value from Rs.20 notes. There are 50 notes of Rs.20. Value of Rs.20 notes = 50 × 20 = 1000 Step 4: Calculate the total amount in the bag. Total Amount = 5000 + 2000 + 1000 = 8000 The total amount available in the bag is Rs.8,000. The correct option is c). Rs.8000 Send me the next one 📸