LIC AAO Model Paper 9

Question : 39 of 160

Marks: +1, -0

A starts a small business by investing a certain sum of money. B Joins A after three months from the start of the business by investing 1.5 times A’s investment. Three months after B joined the business, C joins A and B by investing half of A’s investment. It was agreed that the working partner would receive 10% of the profit and the share according to the investment proportion from the rest of the profit. If total profit at the end of the year was Rs. 23750, how much will A, being the only working partner receive?

Rs. 11,375
Rs. 10,000
Rs. 12,375
Rs. 11,275
Rs. 12,000

Validate

Solution:

Let A’s Investment be Rs x
B's investment = Rs. 1.5x
and. Cs investment = Rs

x/2

Ratio of shares = x × 12 : 1.5 x × 9 :

x/2

× 6
= 24 : 27 : 6
= 8 : 9 : 2
Sum of ratios = 8 + 9 + 2 = 19
Total profit = Rs. 23750
Share of working = Partner A = Rs.

(23750×{10}/{100}+8/{19}× {23750× 90}/{100})

= Rs . (2675 + 9000) = Rs. 11375

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