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:
Rs. 330
Rs. 360
Rs. 380
Rs. 430
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.

Sanjay kumar sahu said:   9 months ago
@All.

I'll tell the simplest answer which is;

1) the given ratio of capital is 4:5.
After 3 months they withdraw,
Mean 4:5 = 760 is invested for three months.
A3 : B3
So (4*3):(5*3)=760 --> eq(1).

After three months they withdraw 1:4 and 1:5.
The mean part of 1:4 of 4 is 1.
1/4*4=1.

And part of 1:5 of 5 is also 1.
1/5*5 = 1.

Now subtract the withdrawal capital from A and B which is 1:1
A=> 4-1 = 3.
B=> 5-1 = 4.

And add into the eq(1).
A3:(A-withdraw)*7 = 12+21
B3:(B-withdraw)*7 = 15+28.
33:43 = 760,
76x = 760,
x = 10.

Now A's share is;
33 * 10 = 330.
(3)

V Ramesh said:   2 years ago
@Mary.

Get the ratios of salaries of Anil, Bhuvans, and Chandras from the info you mentioned (45:18:14=77).
Given the total amount 77000/77*18=18000.
Hence B's salary is 18k.
(1)

Ankita Bhattacharjee said:   2 years ago
@EKTA.

It's saying that at the end of 10 months, that's why as A & B both withdraw after 3 months so the remaining months will be 7.
(5)

PRASANTHI GUDIPATI said:   7 years ago
Capitals=a:b=4:5.

let their investments as 4x,5x.
A:B=4x*10-(4x*(1/4)*7):5x*10-(5x*(1/5)*7),
= 40x-7x:50x-7x,
=33x:44x.

A's share= {33/(33+44)}*760=330.
So option A is correct answer.
(12)

Saran said:   7 years ago
@Mary.

Anil's sal=x;
Bhuvan's sal=y;
Chandra's sal=z;

As given in the que 2/5x=y;
7/9y=z;
x+y+z=77000;
5/2y+y+7/9y=77000;

After taking the lcm
45y+y+14y=77000*18,
60y=1386000,
y=23100.

So, this is the answer.

Mary said:   7 years ago
Can anybody solve this?

2/5th of Anil salary is equal to Bhuvans salary and 7/9th of Bhuvans salary is equal to Chandra's salary. If the sum of the salary of all of them is 77000. Then how much is Bhuvans salary?
(1)

Asha said:   8 years ago
After reducing the capital why we again multiply with 4x i.e (4x-1/4*4x).
(1)

Sweety said:   8 years ago
Thanks for the given explanation.
(1)

Nikhil Kulkarni said:   8 years ago
I didn't get it. Please help me to get the answer.
(4)

Sumit said:   8 years ago
Why 4x is multiply with 1/4?
(1)


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