A shopkeeper sells note-books at the rate of ₹ 45 each and earns a commission of 4%. He also sells pencil boxes at the rate of ₹ 80 each and earns a commission of 20%. How much amount of commission will he earn in two weeks if he sells 10 note-books and 6 pencil boxes a day?

### Concept & Logic The total commission earned is the sum of commissions from each product type over a specific period. Calculate the daily commission first, then multiply by the total number of days. $$ \text{Total Commission} = (\text{Daily Comm. Type A} + \text{Daily Comm. Type B}) \times \text{Number of Days} $$ ### Step-by-Step Solution * **Given**: * Note-books: Rate = ₹ 45, Commission = $4\%$, Daily Sales = 10 * Pencil boxes: Rate = ₹ 80, Commission = $20\%$, Daily Sales = 6 * Duration = 2 weeks = 14 days * **Calculation**: * Daily commission from note-books = $10 \times 45 \times \left( \frac{4}{100} \right) = 450 \times 0.04 = \text{₹ } 18$ * Daily commission from pencil boxes = $6 \times 80 \times \left( \frac{20}{100} \right) = 480 \times 0.20 = \text{₹ } 96$ * Total daily commission = $18 + 96 = \text{₹ } 114$ * Total commission for 14 days = $114 \times 14$ * $114 \times 14 = 114 \times (10 + 4) = 1140 + 456 = \text{₹ } 1596$ ### Exam Strategy & Shortcut Group the calculations per day to minimize steps. Daily Notebook Comm: $4\%$ of $450 = 18$. Daily Pencil Box Comm: $20\%$ of $480 = 96$. Daily Total = $114$. Multiply by 14 days. Look at the unit digit: $4 \times 4 = 16$, so the answer must end in 6. Only 1496, 1586, and 1596 are candidates. Quickly approximate: $100 \times 14 = 1400$, so it must be comfortably higher than 1400. $114 \times 14 = 1596$. ### Common Pitfall Students often forget that "two weeks" strictly means 14 days, particularly in a high-stress exam environment, and might multiply the daily earnings by 2 instead of 14, leading to completely incorrect options. ### Final Answer **Therefore, the correct answer is ₹ 1596.**