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Partnership - Aptitude Questions and Answers - RejinpaulPlacement

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1.
A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and Rs. 1,50,000 respectively. Find the share of each, out of an annual profit of Rs. 56,700.
Answer & Solution
Answer: b) Rs. 16800, Rs. 18900, Rs. 21000

Solution:   Ratio of shares of A, B, and C = Ratio of their investments
= 120000 : 135000 : 150000
= 8 : 9 : 10

A's share = Rs. [56700 * (8/27)] = Rs. 16800
B's share = Rs. [56700 * (9/27)] = Rs. 18900
C's share = Rs. [56700 * (10/27)] = Rs. 21000
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2.
Alfred started a business investing Rs. 45,000. After 3 months, Peter joined him with a capital of Rs. 60,000. After another 6 months, Ronald joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the share of each.
Answer & Solution
Answer: c) Rs. 6600, Rs. 6600, Rs. 3300

Solution:   Clearly, Alfred invested his capital for 12 months, Peter for 9 months and Ronald for 3 months.

So, ratio of their capitals = (45000 * 12) : (60000 * 9) : (90000 * 3)
= 540000 : 540000 : 270000
= 2 : 2 : 1

Alfred's share = Rs. [16500 * (2/5)] = Rs. 6600
Peter's share = Rs. [16500 * (2/5)] = Rs. 6600
Ronald's share = Rs. [16500 * (1/5)] = Rs. 3300
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3.
A, B and C start a business each investing Rs. 20,000. After 5 months, A withdrew rs. 5000, B withdrew Rs. 4000 and C invests Rs. 6000 more. At the end of the year, a total profit of Rs. 69,900 was recorded. Find the share of each.
Answer & Solution
Answer: b) Rs. 20500, Rs. 21200, Rs. 28200

Solution:   Ratio of the capitals of A, B, and C
= 20000 * 5 + 15000 * 7 : 20000 * 5 + 16000 * 7 : 20000 * 5 + 26000 * 7
= 205000 : 212000 : 282000
= 205 : 212 : 282

A's share = Rs. [69900 * (205/699)] = Rs. 20500
B's share = Rs. [69900 * (212/699)] = Rs. 21200
C's share = Rs. [69900 * (282/699)] = Rs. 28200
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4.
A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 6600. What is the share of B?
Answer & Solution
Answer: d) 1200

Solution:   Let C's capital = Rs. x.
Then, B's capital = Rs. 2x/3
A's capital = Rs. [3 * (2x/3)] = Rs. 2x

Ratio of their capitals = 2x : 2x/3 : x = 6 : 2 : 3

Hence, B's share = Rs. [6600 * (2/11)] = Rs. 1200

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5.
Four milkmen rented a pasture. A grazed 24 cows for 3 months, B 10 cows for 5 months, C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 720, find the total rent of the field?
Answer & Solution
Answer: b) Rs. 3250

Solution:   Ratio of shares of A, B, C, D = (24 * 3) : (10 * 5) : ( 35 * 4) : (21 * 3)
= 72 : 50 : 140 : 63

Let total rent be Rs. x. Then, A's share = Rs. 72x/325

72x/325 = 720
=> x = [(720 * 325)/72] = 3250

Hence, total rent of the field is Rs. 3250
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6.
A invested Rs. 76,000 ina business. After few months, B joined him with Rs. 57,000. At the end of the year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?
Answer & Solution
Answer: c) 4 months

Solution:   Suppose B joined after x months.
Then, B's money was invested for (12 - x) months.

(76000 * 12)/(57000 * (12 - x)) = 2/1
=> 912000 = 114000(12 - x)
=> 114 (12 - x) = 912
=> (12 - x) = 8
=> x = 4

Hence, B joined after 4 months
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7.
A, B and C enter into a partnership by investing in the ratio of 3 : 2 : 4. After one year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs. 2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find the initial investment of each.
Answer & Solution
Answer: c) Rs. 2,70,000, Rs. 1,80,000, Rs. 3,60,000
Solution:   Let the initial investments of A, B and C be Rs. 3x, Rs. 2x and Rs. 4x respectively. Then,

(3x * 36) : [(2x * 12) + (2x + 270000) * 24] : [(4x * 24) + (4x + 270000) * 12]
=> 108x : (72x + 6480000) : (144x + 3240000) = 3 : 4 : 5

[108x/(72x + 6480000)] = 3/4
=> 432x = 216x + 19440000
=> 216x = 19440000
=> x = 90000

Hence, A's initial investment = 3x = Rs. 2,70,000
B's initial investment = 2x = Rs. 1,80,000
C's initial investment = 4x = Rs. 3,60,000
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