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: Total Expenditure (Rs.) Expenditures form an arithmetic progression: first term a=4000, common difference d=500, n=12 terms, last term l=9500. S_n &= (n)/(2) (a + l) \\ S_12 &= (12)/(2) (4000 + 9500) \\ &= 6 × 13500 \\ &= 81000 Total expenditure = Rs. 81000 Step 2: Total Income (Rs.) Incomes form an arithmetic progression: first term a=5000, common difference d=500, n=12 terms, last term l=10500. S_n &= (n)/(2) (a + l) \\ S_12 &= (12)/(2) (5000 + 10500) \\ &= 6 × 15500 \\ &= 93000 Total income = Rs. 93000 Step 3: Profit/Loss (Rs.) Profit &= Total income - Total expenditure \\ &= 93000 - 81000 \\ &= 12000 Net profit = Rs. 12000 12000