Aptitude - Partnership - Discussion

Total profit = 7400.

He(A) was to receive 5% of the profits.
So 7400*5/100 = 370Rs.

Remaining amt for A, B &C = 7400-370 = 7030 Rs.

Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3).
= 39000:42000:30000:

Simple method = total investment of all people = 39000+42000+30000
= 111000Rs.

Make it % wise for B(B's investment = 42000Rs).
i.e.
111000 ------ 100.
42000 -------- X(say).

Solve it will get profit of B.
X = 37.837837.

Profit of B = 7030*37.837837/100 = 2659.999.

2660 is the profit of B.

A received = 5% of profit for Rs:7,400
= 5/100 * 7,400
= RS:370.

Balance=7,4000-370=Rs:7030
Ratio of their investment= (A's share*month):(B's share*month):(C's share*month)
= (6500*6):(8400*5):(10000*3)
= 39000:42000:30000
= 39000/30000:42000/30000:30000/30000
= 13:14:10.
A = 13, B = 14,C = 10.
So, total = 13 + 14 + 10 = 37.

Therefore B's share=(14/100*37)
= Rs. 2660

Friends easy.

5% profit from total is taken extra by a so that total profit's 5% is 7400*5/100 = 370.

And now it is subtracted from 7400 which can be disturbed in A B C equally.

7400-370 = 7030.

And a's total investment = 6500*6 (months).

B's total investment = 8400*5 (months).

C's total investment = 10000*3 (months).

A's total investment : B's total investment : C's total investment.

13:14:10. And now sum of them is 37.

Now you know that B's share is 14 times means.

14/37*7030 = 190 is answer.

A's investment-65000 for 6 months = (65000 * 6)
B' investment-84000 for 5 months = (84000 * 5)
C' investment-10000 for 3 months = (10000 * 3).

Multiplying;

A : B : C = 390 : 420 : 300.

Simplifying (divide by 3)
13 : 14 : 10.

The Total profit earned is 7400 in that 'A' got 5% of the profit.
Therefore,5/100(7400) = 370.

This is A's share in total profit of 7400 we want the balance amount
7400 - 370 = 7030.

B's share = B's ratio/Total ratio(Balance Amount)
14/37(7030)=2060

Correct if I am wrong.

@Nitish Kashyap,

The ratio of the total investments that are made;

I.A x+I.B y+I.c z(where I.A, I.B, I.C are investments made by persons A,B,C respectively and the x,y,z are the times frame for Investment of every partner.According to partnership formula, the ratio of profit shares is same to the investments of those partners. meaning I.A x : I.B y :I.C z = P.A : P.B :P.C.

"A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10, 000 for 3 months".

Does this not mean the Rs 6500, 8400, 10000 were invested at once for 6, 5, 3 months respectively?

And the ratio should be calculated as 65000/6: 8400/5: 10000/3.

It's not that they were investing Rs 6500, 8400, 10000 every month for 6, 5, 3 months respectively, right?

Here, it is specifically given that "A" will receive only 5% of the profit. So, you distributed/allocated more money for "A" again.

It should be like.

Ratio of the investments of B & C= (8400 x 5) : (10000 x 3).

= 42000 : 30000.

= 7:5.

So, Share of B = Rs. (7030 X 7/12) = 2929.

Does the question says that 'A' will receive extra 5%?

Hi guys,

A invest money =6500 ofter 6 months=>6500*6=>39000
B invest money =8400 ofter 5 months=>8400*5=>42000
C invest money =10000 ofter 3 months+>10000*3=>30000

A,B,C ratio of the money => A:B:C

step1: 39000:42000:30000

step2: 39:42:30

step3: divided by 3 => 13:14:10

step4: add the 3 ratios

13+14+10 = > 37.

Yes we should again include A for total part (37) since 'A' received 5% profit as working member only.

5% profit = (5/100)*7400 = 370.

Remaining profit would be 7400-370 = 7030.

Again 'A' would receive profit share.

= 6500*6/8400*5/10000*10.

= 13/14/10.

Total part = 37.

So 'B' share is (14/37)*7030 = 2660.

Total profit is 7400
a get 5% so (5/100)*7400 =370
so a got 370
in toal balene we substrct the a's profit

7400-370=7030
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)


= 39000 : 42000 : 30000

= 13 : 14 : 10

B's share = Rs. 7030 x 14 = Rs. 2660.
37