Aptitude - Partnership - Discussion

Discussion Forum : Partnership - General Questions (Q.No. 6)
6.
A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
Rs. 7500
Rs. 8000
Rs. 8500
Rs. 9000
Answer: Option
Explanation:

Let B's capital be Rs. x.

Then, 3500 x 12 = 2
7x 3

14x = 126000

x = 9000.

Discussion:
37 comments Page 1 of 4.

Caroline said:   3 years ago
Partnership formula
Partnership formula

Ratio of investment * time = Ratios of profit

3500 * 12 : x (unknown) * 7 = 2 k : 3 k.

I have used t as it's a substituted ratio

42000 : 7 x = 2k : 3k.

To find the value of k;
42000 = 2 k.
k = 42000/2 = 21000.

To find the value of x

7x = 3k,
7x = 3 * 21000
x = (3*21000)/7.
x = 9000.
(18)

Pavan said:   4 years ago
Note: According to the question we can say that A invested for 12months and B invested after 5 months it means 12months-5= B invested for 7 months.

Then time ratios of A:B = 12:7

Investment = profit/ tim -> to find Investment.
Profit ratios 2 : 3.
Times ratios 12:7.

2/12 : 3/7 do cross multiplication.

ie. 2x7: 12x3.
14: 36 = 7 : 18.
Here
7Parts == 3500.
1p = 500 then.
18p = 18 x 500 = 9000.
(11)

Samba pulusu said:   10 months ago
Profit ratio of A and B
2 : 3
Time Ratio. 12: 7
Investment = profit/time
2/12 : 3/7 = 1/6 : 3/7
= 7 : 18 Here LCM is taken as 42,
7p ->3500,
so 1p->500.
So B capital 18p ->9000
(2)

Chandralesh Vishwakarma said:   3 years ago
Here, 3500/B * 12/7 =2/3 = 9000.
(2)

Tirth said:   7 years ago
First of the After a year write a question is 12 is month wise.
3500*12/7x = 2/3.

By cross multiplying, we get;

3500*12=4200 multiple by 3 (42000*3)= 126000.
7 multiple by 2 (7*2) =14.
Then 126000/14 = 9000 is the answer Answer.
(2)

SUKUMAR SATYEN said:   1 decade ago
Following is Correct explanation:-

A's investment was Rs. 3500 for one-time. It was NEVER recurring for 12 months, i.e., Rs. 3500*12 months is wrong.

It is assumed that B's investment was Rs. x for one-time. It was never recurring for 7 months, i.e., Rs. x*7 months is wrong.

Ratio of profit is given for 1 year.

Therefore, we need to express investments in terms of years, not in terms of months, so that investment ratio has equitable.

Now,

A's share for 12 months (1 year) = Rs. 3500*12/12 = Rs. 3500.

B's share for 7 months (7/12 year) = Rs. x*7/12.

Ratio of Investment should be equal to ratio of profits.

=> 3500:X*7/12 = 2:3.

=> 3500*12/7X = 2/3.

=> 3500*12*3/(7*2) = x.

=> x = Rs. 9000 = B's contribution in the capital.

Thanks.
(2)

Kaushal said:   3 years ago
Can you explain 12*3500 /7x, what is the answer?
(1)

Mir Rokon Uddin said:   9 years ago
Let; B's capital is x.
According to question,
3500 * 12: 7 * x = 2 : 3.
So, X = 900.
(1)

ABI said:   5 years ago
But B joined A after 5 months, which means that A had completed his 10 months of investment.

Thus the equation should be like:
(3500*10/x*5) = 2:3.
Right?
(1)

Naveen chandu said:   6 years ago
A starts a buisness after 5 months for 3500 rupees.
B joins with A.

A has start after 5 months and remaining months is' 7' why because 1 year =12 months. Let we take 7 is for B.

Then (3500*12/7) =2/3. For 2/3 is given for ratio.
14x=126000.
=>12600/14.
X=9000.
(1)


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