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Question

A, B, C took a house on rent for one year for Rs.13,824. They remained together for 4 months and then C left the house. After 5 more months, B also left the house. Then how much rent should ‘B’ pay?

The correct answer is

Rs. 4,416

Monthly rent = 13824 ÷ 12 = 1152; each month's rent is shared equally by those living in the house.

First 4 months (A, B, C): B's share = 4 × 1152 ÷ 3 = 1536
Next 5 months (A, B): B's share = 5 × 1152 ÷ 2 = 2880
Last 3 months: only A stays, B pays nothing

B's total rent = 1536 + 2880 = 4416

Check: A pays 1536 + 2880 + 3456 = 7872 and C pays 1536; 7872 + 4416 + 1536 = 13824.

Hence, Rs. 4,416.

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