Aptitude - Partnership - Discussion

A and B invested in the ratio 3:2,
So, profit also 3:2 If 3r=855,2r=570 .
5% goes to charity,
So 95% = 855 + 570 = 1425.
If, 95%=1425 then 100% = 1500.

Find total profit =5% (profit goes to charity) +95% (profit goes to A and B).

If we have 95% of profit so we can easily find 100% profit.

And A get 855 (A share form total).

Let total profit goes to A and B is X and A:B =3:2.

A share in X is=3/5*X. Which is given 855.

So, 3/5*X=855.

X=855*5/3=1425.

If we have 95% of profit so we can easily find 100% profit.

So 95% of profit is =1425.

100% of profit is = 1425*100/95=1500 (total profit).

a:b = 3:2
Total parts 5.
5%goes to charity then 100-5 = 95%.
then 95/5 = 19.
a = 3 * 19 = 57.
b = 2 * 19 = 38.
The profit is 855/57 = 15.
15*100=1500

Here's the easy solution:

Let the total profit be x.
5% part of the total profit goes to charity.
So, the remaining profit is 95% i.e. (95/100)*x. (means 95/100 part of x is remaining).
Now, the investment of A and B is given in ratio i.e. A:B = 3:2.
So, the total profit will have 3+2 = 5 parts from which (3/5) parts will be of A and (2/5) parts will be of B.

So, the total profit of A from the remaining profit after charity will be:
(3/5)*((95/100)*x) i.e. 3/5 part of the remaining profit which is (95/100)*x.
Thus, (3/5)*((95/100)*x) = A.
Now, A's share is given to be Rs. 855.
So, (3/5)*((95/100)*x) = 855.
After calculating for x, we get,
x = 1500 Rs. i.e. Total profit is 1500 Rs.

Excellent, Thanks everyone for the answer.

If total profit is 100%
The remaining profit is 95%(because the 5% profit goes to charity)
So, now the profit need distribute to A and B.
Bow we can calculate the A's profit.
A's Profit = (3/5)*95% = 57%.
As per problem A got Rs 855.
So, 57% = 855,
So, we need full profit = (855/57)*100 = 1500.

Total profit 1500.
Less 5% = 75.
A share 1425 * 3/5 = 855.
B share 1425 * 2/5 = 570.

From options, total profit is 1500. Profit after 5% goes to charity is 1500-1500*5%=1425.

Now, A's share = 3/5*1495 = 855.

That means, given statement is true so the answer is Rs. 1500.

3 : 2

3/5 X * 95/100 = 855
X = 855 * 5/3 * 100/95
X = 1500.

A's share is 855.
855/3 = 285.
285×5 = 1425,
1425/95 = 15.

Now 15 is the 1% of total profit,
15×100 = 1500.