Aptitude - Partnership - Discussion

Since 5% of total profit goes to charity, that means "A" receives only 95% and same goes to B he will also receive 95% .

95% of X = 855, means "X" is the 100 percent Amount.
95/1OO * X = 855;
95x = 85500 or x = 900, which concludes 900 is the 100 percent amount , and 45 rupees are the 5% given by A towards charity .

Now as we all know if we have to calculate the total profit we use . Total share of investor/his ratio * total ratio or 900/3 * 5, it's 900 divided by 3 then multiplied by 5 which is equal to 1500, in the same case if you have to find "B" share then do 900/3 * 2 or when we calculate individual share we use total share of A/ratio of A multiplied by Ratio of B.

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.

A:B= 3:2,

If 5% of the total profit goes to charity then A's share is Rs. 855,

so total profit after goes to charity is,

(3/5)*X=855
so X= (855*5)/3
X=1425

so total profit= X+ 5% of total profit

= 1425+ 5% of total profit

So the total profit is total profit after goes to charity and 5% of the total profit.

By verifying options [A] is not correct

Taking [B] 5% of 1500 = (5/100)*1500= 75

So 1425+ 75 =1500.

Suppose total profit = X.
The ratio of investment of A and B = 3:2.
A's share = Rs. 855.
In ratio A has 3 units,

So, 855/3 gives the value of one unit.

Therefore, 855/3 = Rs. 285.

The value of one unit = Rs. 285.
Total units we have = 5.

So, the profit they both get after giving 5 percent money to charity = 285 * 5 = Rs. 1425.

Now, according to question,
X - 5% of X = 1425.
X - 5X/100 = 1425.
100X - 5X.
95X = 142500.
X = 142500 = Rs. 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).

Suppose total profit = X.

Ratio of investment of A and B = 3:2.

A's share = Rs. 855.

In ratio A has 3 units,

So, 855/3 gives value of one unit.

Therefore, 855/3 = Rs. 285.

Value of one unit = Rs. 285.

Total units we have = 5.

So, the profit they both get after giving 5 percent money to charity = 285*5 = Rs. 1425.

Now, according to question,

X - 5% of X = 1425.

X - 5X/100 = 1425.

100X - 5X.

95X = 142500.

X = 142500 = Rs. 1500.

As per the question here time period is same so ratio of investment is equal to ratio of profit.

So, A:B = 3:2.

Here after giving 5% from the total profit to the charity then A's profit is Rs. 855 as per the given information.

A = (5/ (5+2) ) *total profit.
855 = (5/7) * total profit.
Total profit = 855*7/5.
Total profit = Rs. 1425.

I got this answer this is also correct method but how do you get 1500 answer?

We know a's share is 855, so a gotb 3rd part of profit after giving fund to charity so b should get 2nd part from total money so we divide 855/3 that is 285 then we get 1 part. Then we want 2nd part of total profit so 285*2=570, then total a and b profit after giving fund is 1425. Then view answers and find 5% of total money from options if you got 1425 after geting 5% from answer that is the answer.

Let us take total profit =100.
The ratio of A and B is 3:2.
And 5% goes to charity from total profit 95% remaining,
In that 95% profit A share is 3/5,
So 95 * 3/5 = 57.

In, 100% investment A share is 57 this is assumption,
Given A share is 855 and B share is?

By finding that B share we have do cross multiplication.
100 57
B. 855

BY DOING THAT U HAVE TO GET B SHARE = 1500.

3 Parts of A is --------------------> 855.
2 Parts of B is ---------------------> X.

So first find the value of X. Cross multiply 2 Parts of B * 855/3 =>2*855/3=570
2 Part of B is 570.

Now add both value of A share and B share= 855+570= 1425.
1425 is 95% because 5% is given to charity.
5% of 1425 is 75.
then add 5% and 95% = 1425 + 75 =1500.