Aptitude - Partnership - Discussion

Discussion Forum : Partnership - General Questions (Q.No. 1)
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:
Rs. 1425
Rs. 1500
Rs. 1537.50
Rs. 1576
Answer: Option
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

Discussion:
98 comments Page 4 of 10.

Sudha said:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
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:   1 decade ago
Why we are taking 100/57 at last step, No one tell above?

Masterneeji said:   1 decade ago
3/5X = 855.
X = 1425.

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


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