Quantitative Aptitude Ques 1319

Question: 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.

Options:

A) Rs. 4355

B) Rs. 3888

C) Rs. 2464

D) Rs. 6224

Show Answer

Answer:

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=Rs\text{. 25920} $ Rent paid by $ C=\frac{9}{60}\times 25920=Rs\text{. 3888} $