Aptitude - Partnership - Discussion

@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.

Thanks all for giving the explanation.

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.

Could someone please explain the solution logically is their any easy way to solve these type of sums?

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 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?

@Arun pund,

Thanks for your explanation. Nice and easy method.

Why 6500 is multiplied by 6 and als 8400 with 5 and 10000 with 3 ?

Money is not invested every month but it is invested once.

Then why it is multiplied with 6, 5 and 3?

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.

How come 7030/37 ratio is 190?