Aptitude - Profit and Loss - Discussion

If the profit percentage in question is mentioned as 15% then where we will assume it as 115
and where we assume it as 15?

Please guide me.

Let C.P = x.

Therefore,

S.P = 22.5% of x + x.

=> (22.5/100) *x +x.
=> x((225/1000)+1).
=> x((9+40)/40).
=> 49x/40.

Acc to question,

(49x/40) = 392.
x = 15680/49.
x = 320.

Therefore, profit = 392 - 320.
=> 72 Ans.

Short Trick to Solve this Question is likewise.

We know Selling Prize is 392 & Profit Percentage 22.5 %.
So,

CP = SP * P/100.

= 392 * 1225/1000.
= 320.

So, Profit = SP - CP.

P = 392 - 320 = 72.

Note: (If SP & Profit/loss % is given then Cp = SP * 100/P/l%. But, if CP & Profit/loss % is given then Sp = CP * P/L%/100).

Thank you all for explaining this solution.

Cross multiply,

122.5 ---------> Rs. 392
100 -----------> ??

Ans: 320

==> Profit = 390 - 320

Thanks @Phub.

A person sells 2 articles for 100rs. He sold 1st article and loss 5% when he sold 2nd article he gains 20%, the overall gain is 5%. What is the cost of the 1st article?

Please explain it with the solution.

Profit = 22.5.
S.p = 392. I want cost price=?
Let c.p = 100 . Because we find out percentage as 100 Every where. C.p/100 = S.p/122.5.
C.p/100 = 392/122.5.
C.p = 320.
Profit = s.p - c.p = 392 - 320 = 72.

Thanks. @Vasu reddy.

Profit=22.5%. and SP=392
Then CP * 122.5/100 = 392.
After solve we get CP = 320,
Now simple (sp-cp) = 72.

I think it will help you.
Thanks have a great day.