Quantitative Aptitude Ques 620

Question: A, B and C started a business by investing Rs. 40500, Rs. 45000 and Rs. 60000, respectively. After 6 months C withdrew Rs. 15000 while A invested Rs. 45000 more. In annual profit of Rs. 56100 the share of C will exceed that of A by

Options:

A) Rs. 900

B) Rs. 1100

C) Rs. 3000

D) Rs. 3900

Show Answer

Answer:

Correct Answer: D

Solution:

  • Partners A B C Amount 40500 45000 60000 Duration 6 12 6 Amount 45000 45000 Duration 6 6 Ratio of capitals of A, B, C $ =(40500\times 6+45000\times 6):(45000\times 12) $ $ :(60000\times 6+45000\times 6) $ $ =(405+450):(450\times 2):(600+450) $ $ =855:900:1050 $ $ =171:180:210=57:60:70 $ Sum of ratio $ =57+60+70=187 $

$ \therefore $ Required difference $ =\frac{70-57}{187}\times 56100 $ $ =\frac{13}{187}\times 56100=Rs\text{.}3900 $

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