Index General Mathematics
Numbers
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HCF & LCM
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Decimal Fractions
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Roots
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Average
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Surds and Indices
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Percentage
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Profit and Loss
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Ratio & Proportion
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Partnership
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Time & Work
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Time & Distance
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Simple Interest
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Compound Interest
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Logarithms
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Area & Volume
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Simplification
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Discount
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Calender & Clocks
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Stock & Shares
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Appendix
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odd man out and series
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Rances & Games of Skill
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Latest Questions
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Alligation or Mixture
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Problems On Boats & Streams
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Area
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Latest Questions
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Chain Rule
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Data Inerpretation
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:: Model Test
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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 :
A
Rs. `12500`
B
Rs. `15000`
C
Rs. `10000`
D
Rs. `15500`
Explanation:
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`
Explanation:
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`
Explanation:
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
Explanation:
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`
Explanation:
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
Explanation:
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`
Explanation:
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`
Explanation:
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`
Explanation:
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`
Explanation:
solution:
Suppose y invested `Rs. y`. Then, `2/3 = 40000/y` or `y = ((40000 xx 3)/ 2)` `= 60000`.
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