A, B and C took a house on rent for one year for ₹ 13824. They remained together for 4 months and then C left the house. After 5 more months, B also left the house. How much rent should each pay?
Answer
Answer (as printed):
Explanation
Monthly rent $=₹\left(\frac{13824}{12}\right)=₹1152$. Rent for first 4 months $=₹(1152\times4)=₹4608$. It is to be divided equally among A, B and C. $\therefore$ Share of each $=₹\left(\frac{4608}{3}\right)=₹1536$. Rent for next 5 months $=₹(1152\times5)=₹5760$. It is to be divided equally between A and B. $\therefore$ Share of each $=₹\left(\frac{5760}{2}\right)=₹2880$. Rent for last 3 months $=₹(1152\times3)=₹3456$. It is to be paid by A only. $\therefore$ Total rent paid by A $=₹(1536+2880+3456)=₹7872$. Total rent paid by B $=₹(1536+2880)=₹4416$. Total rent paid by C $=₹1536$.
Explanation as extracted from the printed page; notation may be imperfect.