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Partnership · UPSC CDS/OTA · Question 20 of 81

Partnership: A, B and C enter into partnership with a capital contribution of 30 lakhs, 20 lakhs, and 10 lakhs respectively. A and B are working partners while C is a sleeping partner. A and B get 10% and 15% of gross profit respectively as salary for managing the business. If at the year end, C receives ₹3.75 lakhs, as profit, find the share of A?

Step-by-step solution. Partnership for UPSC CDS/OTA.

Topic
Partnership
Subject
Mathematics
Difficulty
Medium
Solve Time
45-60 sec

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Q · PartnershipMedium · 45s

A, B and C enter into partnership with a capital contribution of 30 lakhs, 20 lakhs, and 10 lakhs respectively. A and B are working partners while C is a sleeping partner. A and B get 10% and 15% of gross profit respectively as salary for managing the business. If at the year end, C receives ₹3.75 lakhs, as profit, find the share of A?

TopicPartnership
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
From TestChapter Test 1 (Chapter Test)
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

If the total profit is 100%, A and B will get 10% and 15% of the profit as salary, which means the remaining profit is 75%.

After breaking the remaining profit in the ratio 3 : 2 :1 the percent got by A, B and C will be 37.5%, 25%, 12.5%.

Actual amount got by A, B and C will be 47.5%, 40% and 12.5%.

12.5% = 3.75 lakh

1% = 0.3 lakh

47.5% = 14.25 lakh

Final Answer: Option B - 14.35 lakh
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A, B and C enter into partnership with a capital… - Partnership (Mathematics) Solved Question