Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 7)
7.
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Rs. 18.20
Rs. 70
Rs. 72
Rs. 88.25
Answer: Option
Explanation:

C.P. = Rs. 100 x 392 = Rs. 1000 x 392 = Rs. 320
122.5 1225

Profit = Rs. (392 - 320) = Rs. 72.

Video Explanation: https://youtu.be/a36nJFgh5yk

Discussion:
99 comments Page 9 of 10.

Om Prakash said:   9 years ago
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.

Dharsh said:   9 years ago
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.

Kavi said:   1 decade ago
How 1000 came there?

DINESH said:   1 decade ago
Given S.P = 392, expect profit = 22.5%

Let us take C.P = 100.

C.P = (C.P/S.P)*S.P.
S.P = 122.5(EXPECTS).

C.P = (100/122.5)*392(real).
C.P = 320.
P = 392-320 = 72.

Prem g said:   1 decade ago
1225 = 3920.
100 = ?

? = (3920*100)/1225.
C.P = 320.

So profit = 392-320.
= 72 Rs.

Raju said:   1 decade ago
Simple one.

22.5% = 9/40 which means there is a profit of 9 over 40.

So Cp = 40.
Sp = 49.
P = 9.

But in question Sp = 392 i.e. 8 times of 49.

So P = 9x8 = 72.

Subi said:   1 decade ago
C.P = (100sp)/(100+p).

>>100*392/122.5 = 320.

>>profit = 392-320 = 72.

Chinni said:   9 years ago
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.

Johir said:   1 decade ago
If cost price = 100 sell price = 100+22.5 = 122.5.

If selling price is 122.5 then profit 22.5.

.............. 1 ......... 22.5/122.5.

.............. 392 ....... (22.5*392)/122.5 = 72.

Amit singhal said:   1 decade ago
Let x is the cost price:

x*22.5/100 = 392-x.


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