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 3 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)
Likita said:
9 years ago
Why 840 is calculated for 50% of A's share and why not 420?
(1)
Sivapragash s said:
5 months ago
Very helpful. Thanks all for giving explanations.
(1)
Rajinikanth.h.c said:
1 decade ago
A=(105*4months)+((105*8months)+50%(105*8months))
=420+(420+840)
=1680
B=40*12months
=480
C=36*12months
=432
now u devide the above values by 48(all 3 values r devided without any fraction value)then u will get 35:10:9....
then add all 3 shares 35+10+9=54
for B share=21600*(B share/total share)
=21600*(10/54)
=4000rs
=420+(420+840)
=1680
B=40*12months
=480
C=36*12months
=432
now u devide the above values by 48(all 3 values r devided without any fraction value)then u will get 35:10:9....
then add all 3 shares 35+10+9=54
for B share=21600*(B share/total share)
=21600*(10/54)
=4000rs
(1)
Udhaya said:
9 years ago
First find the ratio.
Which is 105:40:36?
They have given A's share increases after 4 months which means for first 4 months it remains same and the next 8 months (as there are 12 months in a year) it increases by 50%, so we need to calculate first for 4 months separately and the for next 8 months after increasing by 50%.
A's contribution for 4 months = 105 * 4 = 420.
A's contribution for remaining 8 months = 105 * 8 = 840.
As A's share increases in this 8 months, we need to calculate it,
840 + (840/2) = 840 + 420 = 1260.
50% increase means 840/2.
Finally for a year=420+1260=1680.
50% increase of 840.
So,
840 + (*820/2) = 820 + 420 = 1260.
Which is 105:40:36?
They have given A's share increases after 4 months which means for first 4 months it remains same and the next 8 months (as there are 12 months in a year) it increases by 50%, so we need to calculate first for 4 months separately and the for next 8 months after increasing by 50%.
A's contribution for 4 months = 105 * 4 = 420.
A's contribution for remaining 8 months = 105 * 8 = 840.
As A's share increases in this 8 months, we need to calculate it,
840 + (840/2) = 840 + 420 = 1260.
50% increase means 840/2.
Finally for a year=420+1260=1680.
50% increase of 840.
So,
840 + (*820/2) = 820 + 420 = 1260.
(1)
Siva said:
9 years ago
I also have the same Confusion @Ravi Chendra.
Gobi said:
9 years ago
Yeah, I also have the same doubt @Ravi Chendra.
Dhivya said:
1 decade ago
A : B : C = 105x x 4 + 150 x 105x x 8: (40x x 12) : (36x x 12)
= 1680x : 480x : 432x = 35 : 10 : 9.
Anyone explain this step i didn't understand.
= 1680x : 480x : 432x = 35 : 10 : 9.
Anyone explain this step i didn't understand.
Jayasakthi said:
9 years ago
Can you please explain why we are changing the ratio into the whole number like 150?
Kalam said:
1 decade ago
Please explain how we got 105:40:36?
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