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Partnership Questions
121. A and B are partners in a business .A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit.For how long B's money was used?
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Correct Ans:10 months
Explanation:
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122. A starts a business with Rs 3500 and after 5 months ,B joins with A as his partner .After a year ,the profit is divided in the ratio 2:3 .What is B's contribution in the capital?
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Correct Ans:Rs 9,000
Explanation:
Given
Ratio of A and B = 2 : 3
A started a business with Rs 3500
After 5 months only B joined
Let B's capital be Rs.x.
= A's captial * A's Time period /B's time period ( 12 - 5)
= ( 3500 * 12 ) / 7 x = 2 / 3
= 14 x = 126000
=> x = 9000.
B's contribution in captial = 9000Rs.
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123. A, B and C enter into a partnership with a capital in which A's contribution is Rs 10,000.If out of total profit of Rs 1000,A gets Rs 500 and B gets Rs Rs 300 then C's capital is?
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Correct Ans:Rs 5,000
Explanation:
A: B : C = 500 : 300 : 200
= 5 : 3 : 2.
Let their capitals be 5x, 3x and 2x respectively.
Then, 5x = 10000
=> x = 2000.
C'captial =2x
= 2 * 2000
= Rs.4000.
C's captial =Rs.4000.
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124. A and B started a partnership business investing some amount in the ratio of 3:5 .C joined them after six months with an amount equal to that of B.In what proportion should the profit at the end of one year be distributed among A,B and C?
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Correct Ans:6:10:5
Explanation:
Given, Ratio of amount invested by A and B = 3 : 5 (for 12 months)
C invested amount equal to B for 6 months = 5 parts for 6 months
Profit distributed among A,B and C = Ratio of investment of A , B and C
= (3 x 12) : (5 x 12) : (5 x 6)
= 6 : 10 : 5
Therefore,Profit distributed among A, B and C =6 : 10 : 5
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125. In a business ,A and C invested amounts in the ration 2:1 ,whereas the ratio between amounts invested by A and B was 3:2 .If Rs 1,57,300 was their profit ,how much amount did B receive?
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Correct Ans:Rs 48,400
Explanation:
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126. A, B,C rent a pasture. A puts 10 oxen for 7 months ,B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing .If the rent of the pasture is Rs 175,how much must C pay as his share of rent?
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Correct Ans:Rs 45
Explanation:
Given,A puts 10 oxen for 7 months;
B puts 12 oxen for 5 months and
C puts 15 oxen for 3 months
=> Ratio of share of rent of A, B and C is:
A : B : C = (10 * 7) : (12 * 5) : (15 * 3)
= 14 : 12 : 9
Given,rent of the pasture is Rs 175
Then, C's Share of rent = [9/ (14 + 12 + 9)] * 175
= (9 / 35) * 175
= Rs. 45
Therefore,C's Share of rent = Rs. 45.
B puts 12 oxen for 5 months and
C puts 15 oxen for 3 months
=> Ratio of share of rent of A, B and C is:
A : B : C = (10 * 7) : (12 * 5) : (15 * 3)
= 14 : 12 : 9
Given,rent of the pasture is Rs 175
Then, C's Share of rent = [9/ (14 + 12 + 9)] * 175
= (9 / 35) * 175
= Rs. 45
Therefore,C's Share of rent = Rs. 45.
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127. Shekhar started a business investing Rs 25,000 in 1999. In 2000,he invested an additional amount of Rs 10,000 and Rajeev joined him with an amount of Rs 35,000.In 2001 ,Shekhar invested another additional amount of Rs 10,000 and Jatin joined them with an amount of Rs 35,000 .What will be Rajeev's share in the profit of Rs 1,50,000 earned at the end of 3 years from the start of the business in 1999?
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Correct Ans:Rs 50,000
Explanation:
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128. Arun, kamal and Vinay invested Rs 8,000, Rs 4,000 and Rs 8,000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs 4005, then what will be the share of Kamal?
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Correct Ans:Rs 890
Explanation:
Given,Aruninvested Rs 8,000 for 6 months
Kamal invested Rs 4,000 for 8 months and
Vinay invested Rs 8,000 for 8 months.
Ratio of Profit earned = Ratio of (Amount invested * No. of months in bussiness)
=> Arun: Kamal : Vinay = (8,000 * 6) : (4,000 * 8) : (8,000 * 8)
=> Arun: Kamal : Vinay = 3 : 2 : 4
Therefore, share of Kamal = [2 / (3 + 2 + 4)] * 4005
= (2/9) * 4005
= Rs. 890
=> Share of Kamal =Rs. 890
Kamal invested Rs 4,000 for 8 months and
Vinay invested Rs 8,000 for 8 months.
Ratio of Profit earned = Ratio of (Amount invested * No. of months in bussiness)
=> Arun: Kamal : Vinay = (8,000 * 6) : (4,000 * 8) : (8,000 * 8)
=> Arun: Kamal : Vinay = 3 : 2 : 4
Therefore, share of Kamal = [2 / (3 + 2 + 4)] * 4005
= (2/9) * 4005
= Rs. 890
=> Share of Kamal =Rs. 890
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129. Aman started a business investing Rs 70,000 . Rakhi joined him after six months with an amount of Rs 1,05,000 and Sagar joined them with Rs 1.4 lakh after another six months. The amount of profit earned should be distributed in what ratio among Aman , Rakhi and Sagar respectively ,3 years after Aman started the business?
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Correct Ans:12:15:16
Explanation:
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130. A and B started a business in partnership investing Rs 20, 000 and Rs 15,000 respectively. After six months C joined them with Rs 20,000 . What will be B's share in the total profit of Rs 25,000 earned at the end of 2 years from the starting of the business?
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Correct Ans:Rs. 7500
Explanation:
Given, A invested = Rs. 20,000 for 24 months(since 2 years)
B invested = Rs. 15,000 for 24 months
C invested = Rs. 20,000 for 18 months (Since C joined after 6 months, 24 - 6 = 18 months)
Ratio of A, B and C's investment = (20,000 * 24) : (15,000 * 24) : (20,000 * 18)
= (20 * 24) : (15 * 24) : (20 * 18)
= 4 : 3 : 3
=> A, B, C's part of investment = 4 : 3 : 3
Given , Total profit = Rs. 25,000
B's share = (B's invested Part/ Total invested part) * 25,000
[3/ (4 + 3 + 3)] * 25,000
= [3/10] * 25,000
= 7500
Thus, B = Rs. 7500
B invested = Rs. 15,000 for 24 months
C invested = Rs. 20,000 for 18 months (Since C joined after 6 months, 24 - 6 = 18 months)
Ratio of A, B and C's investment = (20,000 * 24) : (15,000 * 24) : (20,000 * 18)
= (20 * 24) : (15 * 24) : (20 * 18)
= 4 : 3 : 3
=> A, B, C's part of investment = 4 : 3 : 3
Given , Total profit = Rs. 25,000
B's share = (B's invested Part/ Total invested part) * 25,000
[3/ (4 + 3 + 3)] * 25,000
= [3/10] * 25,000
= 7500
Thus, B = Rs. 7500
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131. Simran started a business by investing Rs 50,000 . After six months , Nanda joined her with a capital of Rs 80,000. After 3 years ,they earned a profit of Rs. 24,500.What was Simran's share in the profit?
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Correct Ans:Rs 10,500
Explanation:
Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4
Simran's share = Rs 24500*(3/7) = Rs 10,500
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132. Kamla started a business investing Rs . 9000 . After six months , Sameer joined with a capital of Rs. 8000.If at the end of the year ,they earn a profit of Rs. 6970, then what will be the share of Sameer in profit?
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Correct Ans:Rs 2380
Explanation:
Given
Kamal invested Rs 9000 for 12 months and Sameer invested Rs 8000 for 7 months.
Kamal:Sameer = (9000*12):(8000*7)
= 108:56
= 27:14
Kamal and Sameerearn a profit of Rs. 6970
Sameer Ratio in profit will be
= (6970∗14 / 41)
= 170 * 14
=Rs 2380.
Share of Sameer in profit = Rs 2380.
Kamal invested Rs 9000 for 12 months and Sameer invested Rs 8000 for 7 months.
Kamal:Sameer = (9000*12):(8000*7)
= 108:56
= 27:14
Kamal and Sameerearn a profit of Rs. 6970
Sameer Ratio in profit will be
= (6970∗14 / 41)
= 170 * 14
=Rs 2380.
Share of Sameer in profit = Rs 2380.
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133. Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
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Correct Ans:Rs. 10,500
Explanation:
Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4.
Therefore, Simran's share = Rs. (24500 x 3/7 ) = Rs. 10,500.
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134. Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
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Correct Ans:Rs. 890
Explanation:
Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)
= 48 : 32 : 64
= 3 : 2 : 4.
Kamal's share = Rs. ( 4005 x 2/9 ) = Rs. 890.
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135. A man started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
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Correct Ans:12:15:16
Explanation:
Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.
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136. A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
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Correct Ans:8 months
Explanation:
Suppose B joined for x months.
Then, ( 85000 x 12 / 42500 x 3 )
= 1020000 / 127500
= 8
So, B joined for 8 months.
Then, ( 85000 x 12 / 42500 x 3 )
= 1020000 / 127500
= 8
So, B joined for 8 months.
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137. A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
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Correct Ans:Rs. 7500
Explanation:
Given
A = Rs20,000
B =Rs.15,000
A : B : C
= (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3.
B's share = Rs. ( 25000 x 3 / 10 )
= 75000 / 10
= Rs 7500
= Rs. 7,500.
A = Rs20,000
B =Rs.15,000
A : B : C
= (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3.
B's share = Rs. ( 25000 x 3 / 10 )
= 75000 / 10
= Rs 7500
= Rs. 7,500.
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138. John, Henry, Abraham rent a grassland. On that grassland, John puts 90 goats for 14 months, Henry puts 72 goats for 7 months and Abraham puts 144 goats for 21 months for grazing. If the rent of the grassland is Rs. 21,840, how much must Abraham pay as his share of rent?
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Correct Ans:Rs. 14,560
Explanation:
Given, John puts 90 goats for 14 months;
Henryputs 72 goats for 7 months and
Abrahamputs 144 goats for 21 months
=> Ratio of share of rent of John,Henry andAbraham is:
John : Henry : Abraham = (90 * 14) : (72* 7) : (144 * 21)
= (15 * 2) : (12 * 1) : (28 * 3)
= 15 : 6 : 14 * 3
= 5 : 2 : 14
Given, rent of the grassland = Rs 21840
Then, Abraham's Share of rent = [14/ (5 + 2 + 14)] * 21840
= (14 / 21) * 21840
= 2/3 *21840
= Rs. 14,560
Therefore, Abraham'sShare of rent = Rs. 14,560
Henryputs 72 goats for 7 months and
Abrahamputs 144 goats for 21 months
=> Ratio of share of rent of John,Henry andAbraham is:
John : Henry : Abraham = (90 * 14) : (72* 7) : (144 * 21)
= (15 * 2) : (12 * 1) : (28 * 3)
= 15 : 6 : 14 * 3
= 5 : 2 : 14
Given, rent of the grassland = Rs 21840
Then, Abraham's Share of rent = [14/ (5 + 2 + 14)] * 21840
= (14 / 21) * 21840
= 2/3 *21840
= Rs. 14,560
Therefore, Abraham'sShare of rent = Rs. 14,560
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139. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
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Correct Ans:6:10:05
Explanation:
Let the initial investments of A and B be 3x and 5x.
A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.
A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.
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140. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
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Correct Ans:Rs. 9000
Explanation:
Let B's capital be Rs. x.
A'scapital = Rs. 3500 for 12 months
B joins with after 5 months, so B contributed the capital for 7 months.
Given. A : B =2 : 3
=> 3500 x 12 / 7x = 2/3
=> 3500 x 12 x 3 = 2 x7x
=>14x = 126000
=>x = 9000
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