The monthly rent of a shop is ₹5,000 in January 2024 and is to increase by ₹250 every…

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The monthly rent of a shop is ₹5,000 in January 2024 and is to increase by ₹250 every month until it reaches ₹8,000, after which it remains unchanged. How many months will pass before the rent first becomes ₹8,000 and what is the total rent payable up to and including that month? (a) 12 months;  ₹ 82,50012 \text{ months};\; \text{₹ }82,500 (b) 13 months;  ₹ 86,00013 \text{ months};\; \text{₹ }86,000 (c) 13 months;  ₹ 84,50013 \text{ months};\; \text{₹ }84,500 (d) 12 months;  ₹ 78,00012 \text{ months};\; \text{₹ }78,000

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