| A, B and C rented a pasture by paying Rs. 2160 per month. They put 60, 40 and 20 sheep, respectively. A sells \[\frac{1}{3}\]of his sheep to B after 6 months and after 3 months more C sells 2/5 of his sheep to A. Find the rent paid by C at the end of the year. |
A) Rs. 4355
B) Rs. 3888
C) Rs. 2464
D) Rs. 6224
Correct Answer: B
Solution :
| A : B : C |
| \[=[(60\times 6)+(40\times 3)+(48\times 3)]:\] |
| \[[(40\times 6)+(60\times 6)]:[(20\times 9)+(12\times 3)]\] |
| \[=(360+120+144):(240+360):(180+36)\] |
| \[=624:600:216=26:25:9\] |
| Total rent must to be paid at the chord of the year |
| \[=2160\times 12=\text{Rs}\text{. 25920}\] |
| Rent paid by \[\text{C}=\frac{9}{60}\times 25920=\text{Rs}\text{. 3888}\] |
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