What is the total amount and benefit type for the period 01/06/2003 until 31/01/2005?

March 17, 2026Business/Management

ScanSolve AI Answer

March 17, 2026

Answer

12000

Step 1: Total Expenditure (Rs.)

Expenditures form an arithmetic progression: first term $a=4000$ , common difference $d=500$ , $n=12$ terms, last term $l=9500$ .

\begin{align*} S_n &= \frac{n}{2} (a + l) \\ S_{12} &= \frac{12}{2} (4000 + 9500) \\ &= 6 \times 13500 \\ &= 81000 \end{align*}

Total expenditure = Rs. $\mathbf{81000}$

Step 2: Total Income (Rs.)

Incomes form an arithmetic progression: first term $a=5000$ , common difference $d=500$ , $n=12$ terms, last term $l=10500$ .

\begin{align*} S_n &= \frac{n}{2} (a + l) \\ S_{12} &= \frac{12}{2} (5000 + 10500) \\ &= 6 \times 15500 \\ &= 93000 \end{align*}

Total income = Rs. $\mathbf{93000}$

Step 3: Profit/Loss (Rs.)

\begin{align*} Profit &= Total income - Total expenditure \\ &= 93000 - 81000 \\ &= 12000 \end{align*}

Net profit = Rs. $\mathbf{12000}$

12000

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Quick Answer

Total Expenditure (Rs.) Expenditures form an arithmetic progression: first term a=4000, common difference d=500, n=12 terms, last term l=9500.

Asked on March 17, 2026Business/Management

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 AnswerAnswered on March 17, 2026

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