LIC AAO 22 Mar 2015 Paper

Question : 32 of 160

Marks: +1, -0

After how many months (from the start of business) did C join the business?
(I) A and B started the business together by investing in the respective ratio of 7 : 6. After few months, from the start of the business, C joined them. The respective ratio of investment of B and C was 12 : 11.
(II) The annual profit earned by A, B and C from the business was Rs. 45,000. The sum of A’s share in the nnnual profit and B’s share in the annual profit was Rs. 35,100.

if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
if the data in Statement II alone arc sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
if the data in both the Statements I and II together are not sufficient to answer the question.
if the data in both the Statements I and II together are necessary to answer the question.

Validate

Solution:

Let C joined the partnership after x months.From statement I,Ratio of the equivalent capitals of A, B and C for 1 month
= 7x x 12 : 6x x 12 : (12 - x) ×

{11x}/2

= 7x × 24 : 6x × 24 : (12 - x) 11x
= 168 : 144 : (132 - llx) From statement II,C’s share= Rs. (45000 - 35100)= Rs. 9900Sum of the terms of ratio = 168 + 144 + 132 - 11x = 444 - 11x
∴

{132-11x}/{44-4x}

× 45000 = 9900
⇒

{132-11x}/{44-11x}

{99}/{450}

{11}/{50}

=* 6600 - 550x = 4884 - 121x => 550x - 121x = 6600 - 4884 =*429x=1716
⇒ x =

{1716}/{429}

= 4 months

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