Aptitude - Partnership - Discussion
Discussion Forum : Partnership - General Questions (Q.No. 3)
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 |
Discussion:
74 comments Page 8 of 8.
Rudra said:
8 months ago
Question says A increases his profit by 50%, not his investment by 50%.
Please explain to me.
Please explain to me.
(1)
Sivapragash s said:
5 months ago
Thanks for the solution @Anu.
Sivapragash s said:
5 months ago
Very helpful. Thanks all for giving explanations.
(1)
Hey siri said:
3 weeks ago
The LCM of the denominators:
Step-1:
2,3,5=30 and multiply each term by 30
(7/2)*30 = 105, (4/3)*30 = 40, (6/5)*30 = 36
So, capital ratio = 105: 40: 36.
Step-2:
A initially invests 105 for the first 4 months + then increases it by 50%, means 50% of 105 i.e,.(50/100)*105 = 52.5.
So his new capital is 105 + 52.5 = 157.5 (this new amount is invested for the remaining 8 months).
First 4 months:
105×4=420
Next 8 months (after increase):
157.5×8=1260
Total = 420 +1260 = 1680
B invested ₹40 for 12 months:
40 × 12 = 480
C invested ₹36 for 12 months:
36 × 12 = 432
Now we have:
A:B:C = 1680:480:432
= 35 : 10 : 9.
Total profit = Rs. 21,600.
The ratio sum = 35+10+9 = 54 parts.
value of 1 part = 21600/54 = 400,
So B’s share is 10 * 400 = 4000.
Step-1:
2,3,5=30 and multiply each term by 30
(7/2)*30 = 105, (4/3)*30 = 40, (6/5)*30 = 36
So, capital ratio = 105: 40: 36.
Step-2:
A initially invests 105 for the first 4 months + then increases it by 50%, means 50% of 105 i.e,.(50/100)*105 = 52.5.
So his new capital is 105 + 52.5 = 157.5 (this new amount is invested for the remaining 8 months).
First 4 months:
105×4=420
Next 8 months (after increase):
157.5×8=1260
Total = 420 +1260 = 1680
B invested ₹40 for 12 months:
40 × 12 = 480
C invested ₹36 for 12 months:
36 × 12 = 432
Now we have:
A:B:C = 1680:480:432
= 35 : 10 : 9.
Total profit = Rs. 21,600.
The ratio sum = 35+10+9 = 54 parts.
value of 1 part = 21600/54 = 400,
So B’s share is 10 * 400 = 4000.
(4)
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