Partnership Practice Test 2

Question : 26 of 40

Marks: +1, -0

A, B and C started a business in partnership with respective investment of Rs. 20000, Rs. 18000 and Rs. 12000. A and B are active partners and therefore they get an additional profit of 12% and 8% respectively for supervision and other related work they do for improvement of the trade. Rest of the profit is divided among them in the proportion of their capitals. If profit made by A is Rs. 648 more than B, find the profit earned by each of them.

Rs. 3960, Rs. 3312, Rs. 1728
Rs. 4960, Rs. 3312, Rs. 1728
Rs. 3690, Rs. 3132, Rs. 1820
Rs. 5960, Rs. 3600, Rs. 1750

Validate

Solution:

Ratio of their capitals = 20000 : 18000 : 12000 = 10 : 9 : 6
Let total profit in the business = Rs. x; then

(12/100x+10/25×80/100x)-(8/100x+9/25×80/100x)=648

⇒11/25x-46/125x=648

x=9000

Hence, share of A =

11/25x = 11/25× 9000

= Rs. 3960;
Share of B =

46/125x= 46/125× 9000

= Rs. 3312
Share of C =

6/25×80/100 x

6/25×4/5 × 9000

= Rs. 1728

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