Partnership, General Mathematics

Question: Three partners A, B, C invest Rs. `36000`, Rs. `45000` and Rs. `54000` respectively in a business. Out of a total profit of Rs. `37500`, C's share is :
A
Rs. `12500`

B
Rs. `15000`

C
Rs. `10000`

D
Rs. `15500`

Note: solution: `A : B : C = 36000 : 45000 : 54000` `= 4 : 5 : 6` C's share `= Rs.(37500 xx 6/15)` `= Rs. 15000`.
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Question: Kavita and Sunita ate partners in a business. Kavita invests Rs. `35000` for `8` months ans Sunita invests Rs. `42000` for `10` months. Out of a profit of Rs.`31570`, Kavita's shate is :
A
Rs. `18942`

B
Rs. `12628`

C
Rs. `9471`

D
Rs. `18040`

Note: solution: Ratio of their shares `= 35000 xx 8 : 42000 xx 10` `= 2 : 3` Kavita's share `= Rs. (31570 xx 2/5)` `= Rs. 12628`.
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Question: jayant opened a shop investing Rs. `30000`. Madhu joined him `2` months later, investing Rs. `45000`. They earned a profit of Rs. `54000` after completion of one year. What will be Madhu's share of profit ?
A
Rs. `27000`

B
Rs. `24000`

C
Rs. `30000`

D
Rs. `36000`

Note: solution: Jayant : Madhu `= 30000 xx 12 : 45000 xx 10` `= 4 : 5`. Madhu's share `= Rs. (54000 xx 5/9)` `= Rs. 30000`.
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Question: Alok started a business investing `Rs. 90000`. After `3` months Shabir joined him with a capital of `Rs. 120000`. If at the end of `2` years, the total profit made by them was `Rs. 96000` what will be the difference between their shares ?
A
`Rs. 20000`

B
`Rs. 24000`

C
`Rs. 8000`

D
none of these

Note: solution: Alok : Shaibr `= 90000 xx 24 : 120000 xx 21` `= 6 : 7`. Difference of their shares `= Rs.(96000 xx 7/13 - 96000 xx 6/13)` `= Rs. ((96000)/13)` `= Rs. 7384.62`.
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Question: Nirmal and Kapil started a business investion `Rs. 9000` and `Rs. 12000` respectively. After `6` months, Kapil withdrew half of his investment. If after a year, the total profit was `Rs. 4600`, what was Kapil's share in it ?
A
`Rs. 2000`

B
`Rs. 2600`

C
`Rs. 1900`

D
`Rs. 2300`

Note: solution: Nirmal : Kapil `= 9000 xx 12 : 12000 xx 6 + 6000 xx 6` `= 1 : 1`. `:.` Kapil's share `=Rs. (4600 xx 1/2)` `= Rs. 2300`.
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Question: A, B and C eter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
A
`20 : 19 : 18`

B
`10 : 10 : 9`

C
`20 : 20 : 19`

D
none of these

Note: solution: Ratio of their shares `= (25 lakhs xx 1) + (35 lakhs xx 2) : (35 lakhs xx 2 + 25 lakhs xx 1) : (30 lakhs xx 3)` `= 95 lakhs : 95 lakhs : 90 lakhs` `= 19 : 19 : 18`.
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Question: Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atul's share in it ?
A
`Rs. 4000`

B
`Rs. 4500`

C
`Rs. 6000`

D
`Rs. 8000`

Note: solution: Yogesh : Pranab : Atul `= 45000 xx 12 : 60000 xx 9 : 90000 xx 3` `= 2 : 2 :1`. `:.`Atul's share `= Rs. (20000 xx 1/5)` `= Rs. 4000`.
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Question: Mohinder and Surinder entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months, Sudhir joined them with an investment of Rs. 15000. What is the share of Sudhir in a half yearly profit of Rs. 9500 ?
A
`Rs. 3500`

B
`Rs. 3000`

C
`Rs. 2500`

D
`Rs. 4000`

Note: solution: Mohinder : Surinder : Sudhir `= 12000 xx 6 : 9000 xx 6 : 15000 xx 3` `= 8 : 6 : 5` Sudhir's share `= Rs. (9500 xx 5/19)` `= Rs. 2500`.
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Question: A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by :
A
`Rs. 2400`

B
`Rs. 3000`

C
`Rs. 3600`

D
`Rs. 4800`

Note: solution: `A : B : C = 16000 xx 3 + 11000 xx 9 : 21000 xx 6` `= 147 : 189 : 126` `= 7 : 9 : 6` Difference of B and C's shares `= Rs. (26400 xx 9/22 - 26400 xx 6/22)` `= Rs. 3600`.
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Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40000, the amount invested by Y is :
A
`Rs. 50000`

B
`Rs. 60000`

C
`Rs. 80000`

D
`Rs. 45000`

Note: solution: Suppose y invested `Rs. y`. Then, `2/3 = 40000/y` or `y = ((40000 xx 3)/ 2)` `= 60000`.
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Question: Three partners A, B, C invest Rs. `36000`, Rs. `45000` and Rs. `54000` respectively in a business. Out of a total profit of Rs. `37500`, C's share is :

Question: Kavita and Sunita ate partners in a business. Kavita invests Rs. `35000` for `8` months ans Sunita invests Rs. `42000` for `10` months. Out of a profit of Rs.`31570`, Kavita's shate is :

Question: jayant opened a shop investing Rs. `30000`. Madhu joined him `2` months later, investing Rs. `45000`. They earned a profit of Rs. `54000` after completion of one year. What will be Madhu's share of profit ?

Question: Alok started a business investing `Rs. 90000`. After `3` months Shabir joined him with a capital of `Rs. 120000`. If at the end of `2` years, the total profit made by them was `Rs. 96000` what will be the difference between their shares ?

Question: Nirmal and Kapil started a business investion `Rs. 9000` and `Rs. 12000` respectively. After `6` months, Kapil withdrew half of his investment. If after a year, the total profit was `Rs. 4600`, what was Kapil's share in it ?

Question: A, B and C eter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?

Question: Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atul's share in it ?

Question: Mohinder and Surinder entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months, Sudhir joined them with an investment of Rs. 15000. What is the share of Sudhir in a half yearly profit of Rs. 9500 ?

Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40000, the amount invested by Y is :