Aptitude - Partnership
Exercise : Partnership - General Questions
- Partnership - Formulas
- Partnership - General Questions
- Partnership - Data Sufficiency 1
- Partnership - Data Sufficiency 2
- Partnership - Data Sufficiency 3
1.
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:
Answer: Option
Explanation:
Let the total profit be Rs. 100.
| After paying to charity, A's share = Rs. |  |
95 x | 3 |  |
= Rs. 57. |
| 5 |
If A's share is Rs. 57, total profit = Rs. 100.
| If A's share Rs. 855, total profit = | |
100 | x 855 | |
= 1500. |
| 57 |
2.
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
Answer: Option
Explanation:
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
 B's share = Rs. |
|
7030 x | 14 | |
= Rs. 2660. |
| 37 |
3.
A, B and C enter into a partnership in the ratio 
: 
: 
. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:
: : . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:
Answer: Option
Explanation:
| Ratio of initial investments = | |
7 | : | 4 | : | 6 | |
= 105 : 40 : 36. |
| 2 | 3 | 5 |
Let the initial investments be 105x, 40x and 36x.
| A : B : C = |
|
105x x 4 + | 150 | x 105x x 8 | |
: (40x x 12) : (36x x 12) |
| 100 |
= 1680x : 480x : 432x = 35 : 10 : 9.
| Hence, B's share = Rs. | |
21600 x | 10 | |
= Rs. 4000. |
| 54 |
4.
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Answer: Option
Explanation:
Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
3x = 36000
x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
| A's share = Rs. |
|
35000 x | 21 | |
= Rs. 14,700. |
| 50 |
5.
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Answer: Option
Explanation:
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
| Now, | 14x | = | 5 |  98x = 40y y = |
49 | x |
| 8y | 7 | 20 |
| And, | 14x | = | 5 | 112x = 35z z = |
112 | x = | 16 | x. |
| 7z | 8 | 35 | 5 |
| x : y : z = x : |
49 | x | : | 16 | x | = 20 : 49 : 64. |
| 20 | 5 |
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