Partnership · UPSC CDS/OTA · Question 30 of 30

Partnership – Question 30

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. And their investments are in the ratio 1:3:5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. If at the end of the year the difference between the profits of the sum of B and C to that of A is rupees. 1210, find the profit of C?

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.

By the data provided in the question,

The ratio of profit = { ( 1 x 4 ) + ( 2 x 8 ) } : { (3 x 4 ) + ( 1.5 x 8 ) } : { ( 5 x 4 ) + ( 2.5 x 8 ) }

= 20 : 24 : 40 = 5 : 6 : 10

By the condition ( 10 + 6 ) – 5 = 11 = 1210

1 = 110 rupees

10 = 1100 rupees.

Final Answer: Option B — 1100 rupees
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Partnership Question 30 – UPSC CDS/OTA