Aptitude - Partnership - Discussion

1. 

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

[A]. Rs. 1425
[B]. Rs. 1500
[C]. Rs. 1537.50
[D]. Rs. 1576

Answer: Option B

Explanation:

Let the total profit be Rs. 100.

After paying to charity, A's share = Rs. 95 x 3 = Rs. 57.
5

If A's share is Rs. 57, total profit = Rs. 100.

If A's share Rs. 855, total profit = 100 x 855 = 1500.
57


Uma Rejeshweri said: (Jul 31, 2010)  
How we taking let pofit is Rs 100?

Arun Potti said: (Dec 13, 2010)  
We will calculate for 100, and by using that we will calculate for the actual value.

Manu said: (Jan 7, 2011)  
Please. Give me details of calculations step by step.

Nagu said: (Jan 19, 2011)  
Hi guys,

Let take a look on the below


if total profit is 100
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

Vignesh said: (Jan 26, 2011)  
How we taking a profit (3/5) ?

Hari said: (Jan 27, 2011)  
3 is the A's Share and 5 means sum of 3, 2.

Rajkumar said: (Mar 2, 2011)  
Why we are summing 3, 2?

Jaz said: (May 31, 2011)  
A share s 3 and B share s 2...so totally 3+2=5

Mukesh Jha said: (Jul 5, 2011)  
Let A's share is Rs x
A's Profit after 5% charity is Rs 855, Then
A's net profit after charity is 95% of x is equal to Rs 855i.e.
(95*x)/100=855
x=Rs 900
Let Total profit is Rs Y
A's and B's Share is in Ratio of 3:2
A's share in buisseness is (3*Y)/5 is equal to 900 i.e
(3*Y)/5=900
Total Profit (Y)=Rs 1500

Emani Karthik Reddy said: (Jul 26, 2011)  
A:B=3:2.
If 5% of the total profit goes to charity.
A's share = 855
let total profit is x
A:B=3x:2x.
A's share = (3x/5)*855=1425.
if 5% added to profit=1425+5%=1500.

Sanjay said: (Aug 8, 2011)  
Let total profit is x

Then 5% of profit goes to charity= 5x/100

Rest amount is 95% of x= 95x/100
A's share = 855
95x/100*3/5 = 855

x=1500

Krishna said: (Aug 10, 2011)  
3->855
2->?
ans= 1500

Mp.Ramakrishnan.Infy said: (Sep 27, 2011)  
No of the share = 5
A is share = 3 , B is share = 2
A's Profit = 855
per share rate 855/3= 285
B's share 285*2= 570
total profit= A+B+5%
95%(A+B)= 1425
5% = 75
total Profit= 1500

Usha said: (Oct 21, 2011)  
Why we are calculating by 100/57 why dont we take 57/100?

Saran said: (Nov 1, 2011)  
How it came 5%?

Lathi said: (Nov 28, 2011)  
As per formulae:Suppose A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year:

(A's share of profit) : (B's share of profit) = x : y.

A's total profit=855+5%0f 855=900
let B,s total profit is x
so 900/x=3/2
x=600

So total profit= A profit+b profit=900+600=1500

Swathi said: (Jan 26, 2012)  
Hey by taking optins A 1425.

So.

1425*3/5=855.

So 1st option is also correct..

S.Bhavani said: (Feb 13, 2012)  
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.

Indu said: (Feb 29, 2012)  
Why we take 100/57 instead of 57/100? it is so confusing.

Ravi said: (May 26, 2012)  
Let total profit= x.
Since 5% goes to chairity so.
Now total profit=95x/100.
So this profit distribute between A and B.
95x/100*3/5=855.
X=1500.

Kiran said: (May 26, 2012)  
A's Profit = 3/5 i.e 855
B's Profit = 2/5 ; 2/5 of Profit = ?
3/5= 0.6; 2/5=0.4 ; 0.4*855/0.6= 570

A+ B = 1425 (Which is 95% of profit) ;

5% = 0.05*1425*.95 =75
Total Profit = 1425 + 75 = 1500;

Akshit Bhatia said: (Jun 13, 2012)  
Total profit = x.

5% is going to charity.

So remaining is 95%.

95x/100*3/5 = 855.

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

X is 1500.

Abhishek said: (Jul 11, 2012)  
It is also done by this method.

855 is A.

Total 855*5/3=1425.

Now 1425*100/95 =1500.

Sunita Sahu said: (Aug 17, 2012)  
Remaining profit=(1-0.05)=0.95P
A's share=(0.95p*3)/5
855=0.95p*3/5
p=855*5/(3*0.95)
p=1500

Yadnesh Samant said: (Aug 27, 2012)  
5% to charity
therefore..95%=0.95 to both a and b
let x be the total profit
0.95*x*(3/5)=855

therefore... x=1500

Prasad said: (Sep 6, 2012)  
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.

Vns said: (Sep 20, 2012)  
Let x is total profit.
5% is given to charity.
So new profit =95% 0f x.
There fore a's profit will be 3/5*new profit.
Therefore 3/5*95/100*x=a's profit.
3/5*95/100*x=855.
X=1500.

Srinath said: (May 9, 2013)  
100x * 3/5 = 855.

x = 1425 + 5%.

=1500.

Pranith said: (Jul 19, 2013)  
Can anybody say these. Kiran, suresh, ramesh, were to share some amount among them kiran and ramesh suresh together has 18000. If kiran has 750 more than that of ramesh, how much amount did suresh get?

Madhukumar E said: (Feb 22, 2014)  
Easy method:

Let's assume B's share as x.
855/x = 3/2.

So, x = 570.
Then 570 + 855 = 1425 + 5% = 1496.25.

Which would approximate to 1500.

Sudha said: (Feb 22, 2014)  
Easy method A's share 3part = 855.
So one part of A = 855/3 = 285.
Now B's share = 285*2 = 570.

So 95% of profit = 1425.

100% share = 1425/95*100 = 1500.

Mithun said: (Mar 26, 2014)  
Let total profit be Rs. 100 .
A's share,if profit is Rs. 100 = [95*3/5]=Rs.57.
If A's share is Rs.855,profit = ?

VARIATION

Share | Profit
Rs.57 | Rs.100
Rs.855 | x

Direct Variation:

855/57 * 100 = x.
x = Rs.1500.

Total Profit = Rs.1500.

Naveen.Kuntla said: (Mar 30, 2014)  
I will agree with you for taking the total profit to be 100.

But if we verify the answer.
A's share = 3/5*1500 = 900.

But there in question A's share of profit = 855.
In the given options if we take total profit = 1425.

The A's share = 3/5*1425 = 855.
1425 should be the answer in my view.

Anyone reply me if I am wrong.

Vaibhav Pandey said: (May 18, 2014)  
Can it be done like this instead of assuming that total profit = 100.

a:b = 3:2.

Profit of a = 855.

Total profit of the firm = 855*5/3 = 1425.

I don't know why it is wrong.

Onkar said: (May 30, 2014)  
Out of total profit of 375, A got more than B, then how to fine A and B share in profit? please help.

Ram said: (Aug 21, 2014)  
Total 100.
95 for A & B which is shared by 3:2.
i.e. 57:38.

In 100 A get 57 so if we cross multiply we will get 1500.

i.e.
100      57
? 855

100*855/57.

Swati said: (Sep 27, 2014)  
Let total profit is x rs.

Then remaing profit (x-x*5/100).
= 95x/100.

A's profit is 3/5*95x/100.
= 57x/100.

But A'shares of profit is given as 855 so 57x/100 = 855.
x = 1500 that is total profit.

Vishnu said: (Nov 4, 2014)  
A's Share is 855 i.e. From that ratio 3:2.
3 is 855.

We need total so add the ratio value 3+2=5.
Using proportional method,

3 855
5 x

3x=5*855 => x=1425.

This 1425 is 95% we need 100% so use same method,

95 1425
100 x

95x=100*1425 =>x=1500.

Sathish said: (Mar 4, 2015)  
Why we are taking 100/57 at last step, No one tell above?

Masterneeji said: (Jun 6, 2015)  
3/5X = 855.
X = 1425.

If 95% = 1425.
100% = 1500, so simple.

Gaurav Sharma said: (Jun 24, 2015)  
Let x be the total profit, after charity profit becomes x-5.

So A's share = 3/5 (x-5).

And in the question A's share = 855.

Equating A's share, we get.

= 3/5(x-5) = 855.

After solving we get x = 1500.

Rohit said: (Jun 30, 2015)  
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.

Prem said: (Jul 24, 2015)  
3 = 855.
2 = ?

=> 855*2 = 1500.

B's share is 1500.

Bhavishya Borra said: (Sep 13, 2015)  
After 5% of charity, A's share 855.

i.e 95% --> 855.

100% --> (100*855)/95 = 900.

900 rs --> 3 parts.

(600) rs --> 2 parts.

Finally A's share + B's share = 900+600 = 1500.

Muhammed Afees said: (Oct 26, 2015)  
Profit sharing ratio A:B 3:2.

A share of profit 855.

Let's take 100% total profit.

Hence total profit = 855*5/3 = 1425 (95%).

Total profit with 5% given to charity = 1425*100/95 = 1500 (100%).

Sweety said: (Jun 26, 2016)  
Is there any trick to solve such kind of question without doing all this calculation?

Muneeb said: (Oct 14, 2016)  
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.

Sandhya said: (Nov 28, 2016)  
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.

Pranjal said: (Dec 18, 2016)  
Why can't we do it like 3/2 x 5/100X = 855?

Raani said: (Dec 21, 2016)  
How to make 5% in 855?

Nataraj said: (Dec 26, 2016)  
@Raani.

5% in 855 is,

0.05 * 855 = 42.75.

Anup Kumar Singh Munda said: (Dec 27, 2016)  
Basically, total Share given to A is 95% i.e 855.
Therefore totally A got 900 (855/95) * 100,
and the investment is 3 : 2,
so if 3 is 900, 2 will be 600,
900+600 = 1500.

Jaya Sakthi said: (Jan 11, 2017)  
Whether the B has the share in it and then how you got this answer?

Please, explain it because I don't understand the solution.

Syg said: (Jan 20, 2017)  
A's profit is 3/5*95. How it came?

Pavani Reddy said: (Feb 10, 2017)  
A = 3.
B = 2.
A profit is 810.
3 parts 810.
1 part is 810%3 = 285.
B=2 parts 2(285) = 570.
810 + 570 = 1425.

Total profit is 100% charity 5% remaing 95% is A and B.
95% = 1425
THEN 1% IS 15 5% is alwasly 75.
Total 1425 + 75 = 1500.

Kumar said: (Feb 28, 2017)  
Nice explanation @Karthik Reddy.

Indrajit Behera said: (May 3, 2017)  
855/3*5 = 1425.

1425 * 100/95 = 1500.

Rahul Showry Anthony said: (May 19, 2017)  
Let x be the number.

A : B = 3 : 2,that is 3x : 2x, 3x = 855.
X = 285,B share is 2(285) = 570.
570 + 855 = 1425.
Remaining percentage left is 95 is 1425.
Then 5 percentage is?
95-1425.
5 -. ?

That is 1425*5/95=1500 that's the answer.

S.P.Barath Kumar said: (May 24, 2017)  
Hi, I have used a reverse method i.e,

A's share = 855
So I have used (A's ratio/total ratio)*y= 855
i.e,
(3/5) * y = 855
I got the answer as 1425.

Please, tell me why I got the wrong answer?

Harish Gunturu said: (Jun 9, 2017)  
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.

Santosh Shah said: (Jul 9, 2017)  
3/5*91 = 855.
100 = profit (here 100 is nothing but total profit) after solving we get profit=1500 that simp).

Aftab Afridi said: (Aug 8, 2017)  
Why we are taking 100/57 at last step? Please explain it.

Brijesh Patel said: (Aug 11, 2017)  
Because percentage is always in 100 form.

So, 100/57 percentage that is A's share.

Vignesh said: (Aug 15, 2017)  
A= 3 B = 2.
(A + B = 5X).

855 = 3.
NOW DIVIDE 855 / 3 = 285 (NOW WE CAN GET 1 X OF A).
NOW WE KNOW 1 X OF THE TOTAL 5X.
SO TOTAL A 3 + B 2 = 5X ...SO MULTIPLY 285 * 5 = 1425.
THIS 1425 IS EQUAL TO 95 % BECAUSE 5% GOES TO CHARITY.
APPLY 1425 = 95%.
?? = 100%.

(1425 * 100) / 95 = 1500.

Sri Rangini said: (Oct 22, 2017)  
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.

Karthikraja S said: (Dec 29, 2017)  
3% of a value 855
So 855/3 *2=A VALUE
So, 570 of a Value 855+570=1425
So, the answer is 1425.

Subramanian said: (Feb 14, 2018)  
3% is 855.

Then for 5 portions 855÷3=285*5=1450.

Now we have to consider the amount which goes to Charity 5%.
So 1450 is just 95%.

1450÷95*100. =1500.
Hence proved.

Praveeen said: (Apr 4, 2018)  
3:2,

If 3parts 855 then 5 parts ?
5*855/3=1425 and if 95%=1425 then 100%=?
100*1425/95=1500 this is simple method.

Ayaz Shaikh said: (May 21, 2018)  
@All.

Here All are having a problem with that 3/5 part used for A's shares.
Below;

The Ratio is given as 3:2.
Adding 3+2 we get, answer as 5,
now to find A's share, we take 3 as per given in a ratio of 3:2.
And then we divide 3 with the whole of 5 which gives us value 3/5.

Sundar said: (Jun 11, 2018)  
Why 3/5 is considered here? Please explain in detail.

Shital said: (Jul 15, 2018)  
How 75 came? Please explain.

Laxmi said: (Jul 28, 2018)  
Hi.

After giving 5% profit to charity,
A's share is 855 i.e 95% is remaining.
hence For 100%, (100*855)/95=900,
So, Now A's share is 900,

Hence From the ratio, we can calculate.
3x=900.
x=300.

As we know B's ratio is 2x=2*300=600.

Hence, add both A's share and B's share.
900+600=1500.

This is the total profit.

Viji said: (Sep 3, 2018)  
A:B=3:2
A/B=3/2.

A's share=855(after 5% for charity),
855/B=3/2,
855*2=3B,
B=570,
total profit be x.
profit after 5% charity=855+570=1425,
x-5%of x=1425,
x- 5/100 of x =1425,
95x=1425*100,
x=142500/95=1500.

Sonal said: (Oct 22, 2018)  
(855/3)x5 % of 95 = 1500.

Sadiq said: (Nov 19, 2018)  
A:B=3:2.

If 5% of the total profit goes to charity.
A's share = 855

Let total profit is x
A:B=3x:2x.
A's share = (3x/5)*855 = 1425.
If 5% added to profit = 1425+5% = 1500.

Taukir said: (Dec 11, 2018)  
3:2=A's profit : B's profit.

Let Total profit be x,
A's profit = (3/5) * (95/100) *x=855.
Therefore on calculating Total profit,
X = 1500.

Rama Krishna Reddy said: (Dec 20, 2018)  
Nice explanation, Thanks @Rama Krishna Reddy.

Kshipra Desai said: (Apr 24, 2019)  
A:B = 3:2.

3/5 x (Total Profit - 5%) = 855.
Total Profit -5% = 1425,
Total Profit = 1425 + 5% of TP,
5% of 1425 is not 1500.
It is 1496.25.,
1425 x 105/100 = 1496.25.

Rohit Pednekar said: (Aug 3, 2019)  
Let tota profit be x.

5 % of the total profit goes to charity=5/100 x=x/20.
Profit left =x-x/20=19/x.

This profit is divided between a and b in ratio 3:2.
A's share is 855.
855=3/5 multiply 19x/20,
x=855x20x5/19x3=1500,
Thus the total profit is 1500.

Alviya said: (Oct 12, 2019)  
Not understanding.

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