DIRECTIONS : Problems based on partnership .
11. | A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally? |
| A. 3 | B. 4 |
| C. 5 | D. 6 |
Solution |
Suppose B joined after x months. |
Then, | 21000×12=36000×(12 - x) |
‹=›36x=180 |
= x= 5. |
|
12. | X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs.40,000. the amount invested by Y is |
| A. Rs. 45,000 | B. Rs.50,000 |
| C. Rs. 60,000 | D. Rs. 80,000 |
Solution |
Suppose Y invested Rs.y |
Then, | 40000 /y = 2 / 3 |
‹=› y=(40000×3 / 2). |
‹=› y=60000. |
|
13. | 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? |
| A. Rs. 7500 | B. Rs. 9000 |
| C. Rs. 9500 | D. Rs. 10,000 |
Solution |
A : B : C | =(20000×24):(15000×24):(20000×18) |
=4 :3 :3 |
B's share | =Rs.(25000×3/10) |
=Rs. 7500. |
|
14. | A, B, C hired a car for Rs.520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were |
| A. Rs.140 | B. Rs.160 |
| C. Rs.180 | D. Rs.220 |
Solution |
A : B : C | = 7 : 8 : 11. |
Hire charges paid by B | = Rs(520×8/26) |
= Rs.160. |
|
15. | 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? |
| A. Rs. 45 | B. Rs. 50 |
| C. Rs. 55 | D. Rs. 60 |
Solution |
A : B : C | =(10×7):(12×5):(15×3) |
=70 :60 :45 |
=14 :12 :9 |
c's rent | =Rs.(175×9/35) |
=Rs. 45. |
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