Aptitude - Partnership - Discussion

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.

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.

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.

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.

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.

3 is the A's Share and 5 means sum of 3, 2.

855/3*5 = 1425.

1425 * 100/95 = 1500.

Because percentage is always in 100 form.

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

Why we are taking 100/57 at last step? Please explain it.

3/5*91 = 855.
100 = profit (here 100 is nothing but total profit) after solving we get profit=1500 that simp).