Aptitude - Partnership - Discussion
Discussion Forum : Partnership - General Questions (Q.No. 7)
7.
A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 
of his capital and B withdrew 
of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
Answer: Option
Explanation:
| A : B = |  |
4x x 3 + |  |
4x - | 1 | x 4x |  |
x 7 |  |
: | |
5x x 3 + | |
5x - | 1 | x 5x | |
x 7 | |
| 4 | 5 |
= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43.
 A's share = Rs. |
|
760 x | 33 | |
= Rs. 330. |
| 76 |
Discussion:
38 comments Page 1 of 4.
Deepu said:
1 decade ago
How the ratio of A:B is brought out please can anybody explain ?
N.Srikanth said:
1 decade ago
A invests for 3 months N = 4x * 3
1/4th of capital(4x)= 4x-1/4(4x) this is for (10-3) months investment
i.e Let M=(4x-(1/4)4x)*7
B investment for 3 months O =5x*3
1/5th of capital(5x)= 5x-1/5(5x) this is for (10-3) months investment
i.e P=(5x-(1/5)5x)*7
Ratio: (N+M):(O+P)
I think this will clear your doubt
1/4th of capital(4x)= 4x-1/4(4x) this is for (10-3) months investment
i.e Let M=(4x-(1/4)4x)*7
B investment for 3 months O =5x*3
1/5th of capital(5x)= 5x-1/5(5x) this is for (10-3) months investment
i.e P=(5x-(1/5)5x)*7
Ratio: (N+M):(O+P)
I think this will clear your doubt
(1)
Snp said:
1 decade ago
Atlast why we have to divide by 76 ?
UMESH said:
1 decade ago
A:B RATIO 4X : 5X.
FOR THREE MONTHS A's SHARE = 4X*3 = 12X.
FOR THREE MONTHS B's SHARE = 5X*3 = 15X.
FOR NEXT 7 MONTHS NEW RATIO = (4X-1/4*X) : (5X-1/5*X) I. E 3X:4X.
FOR 7 MONTHS A's SHARE = 3X*7 = 21X.
FOR 7 MONTHS B's SHARE = 4X*7 = 28X.
A's TOTAL SHARE =12+21 = 33X & B's = 15 +28 =43X.
TOTAL MONEY = 760
TOTAL SHARE = 33+43 =76X.
THEREFORE 76X =760 (i.e.)X= 10 (i.e.) A'S SHARE=33X =330.
FOR THREE MONTHS A's SHARE = 4X*3 = 12X.
FOR THREE MONTHS B's SHARE = 5X*3 = 15X.
FOR NEXT 7 MONTHS NEW RATIO = (4X-1/4*X) : (5X-1/5*X) I. E 3X:4X.
FOR 7 MONTHS A's SHARE = 3X*7 = 21X.
FOR 7 MONTHS B's SHARE = 4X*7 = 28X.
A's TOTAL SHARE =12+21 = 33X & B's = 15 +28 =43X.
TOTAL MONEY = 760
TOTAL SHARE = 33+43 =76X.
THEREFORE 76X =760 (i.e.)X= 10 (i.e.) A'S SHARE=33X =330.
(2)
Rohit Singh said:
1 decade ago
This is called a real brain teaser.
Prashant said:
1 decade ago
How to Solve (4X-1/4*X) : (5X-1/5*X) i.e 3X:4X.
Arockiaraj said:
1 decade ago
How to Solve (4X-1/4*X) : (5X-1/5*X) i.e 3X:4X
Sindhuja said:
1 decade ago
Is there any other is way to solve this sum?
(1)
Pavithran said:
1 decade ago
Its not (4x-1/4*x) guys. Its (4x-1/4*4x).
(1)
Darshan said:
1 decade ago
Withdrew means reducing the capital right?
(1)
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