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 1 of 8.
Hey siri said:
2 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.
(3)
Sivapragash s said:
5 months ago
Very helpful. Thanks all for giving explanations.
Sivapragash s said:
5 months ago
Thanks for the solution @Anu.
Rudra said:
7 months ago
Question says A increases his profit by 50%, not his investment by 50%.
Please explain to me.
Please explain to me.
(1)
Pooma said:
11 months ago
Please give a clear information.
Anu said:
2 years ago
An easy way;
A = 7/2 * 4+ 7/2 * 3/2*8 = 14 + 42 = 56.
B = 4/3*12 = 16.
C = 6/5*12 = 14.4,
Total = 56 + 16 + 14.4 = 86.4
So, 86.4 = 21600,
Then B's Share 16 = 4000 (Ans)
A = 7/2 * 4+ 7/2 * 3/2*8 = 14 + 42 = 56.
B = 4/3*12 = 16.
C = 6/5*12 = 14.4,
Total = 56 + 16 + 14.4 = 86.4
So, 86.4 = 21600,
Then B's Share 16 = 4000 (Ans)
(44)
Sujatha said:
3 years ago
Please explain the answer briefly.
(13)
Sanjukutty said:
6 years ago
The question can be a bit misleading. It has to be specified that A's share increases without a reduction in the shares of B and C, with the total amount of investment increasing as a result. Without this clarification, it could well be that A's share increases at the expense of the others' shares and that the total level of investment remains the same.
(16)
Ram said:
6 years ago
105x*8 ?
Here we need to find A, (1year=12months) so after 4 months means remaining 8 months.
& Then multiple with 2 b/c in this 8 months 50% more.
Here we need to find A, (1year=12months) so after 4 months means remaining 8 months.
& Then multiple with 2 b/c in this 8 months 50% more.
(4)
Ragavi said:
6 years ago
Why 105x * 8?
(2)
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