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Exercise 7 · Q7

Q.Nikhil, Priyesh and Ritik took a house on rent for ₹13824. They remained together for 4 months and then Ritik left the house. After 5 more months, Priyesh also left the house. How much rent should each pay?

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The year's rent ₹13824 is ₹1152/month; splitting each month's rent equally among those living there gives Ritik ₹1536, Priyesh ₹4416, Nikhil ₹7872.

Rent is a shared living cost: each month's rent is divided equally among the occupants present that month. Monthly rent=Annual rent12\text{Monthly rent}=\dfrac{\text{Annual rent}}{12}.

  1. Annual rent =2˘0b913824=\u20b913824, so monthly rent =1382412=2˘0b91152=\dfrac{13824}{12}=\u20b91152.
  2. Timeline (12-month lease): all three together for 4 months; Ritik leaves; Priyesh stays 5 more months (up to month 9) then leaves; Nikhil stays the remaining 3 months (up to month 12).
  3. Months 1–4 (3 occupants): rent =4×1152=2˘0b94608=4\times1152=\u20b94608; each pays 46083=2˘0b91536\dfrac{4608}{3}=\u20b91536. …

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