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 3 of 10.

R b yadav said:   5 years ago
Fraction 22.5/100 = 9/40.
CP =40 sp =49 given 49 = 392.
1 unit = 8
So cp 40 * 8 = 320.
392 - 320 = profit.
72.
(1)

Rupali said:   5 years ago
SP = 392.
% of profit = 22.5.
Let CP =x.
profit = SP - CP = 392 - X,
%of profit = (392 - x )*100 / x = 22.5,
(392 - x )*100 = 22.5 x,
39200 - 100x = 22.5 x,
39200 = 122.5 x,
x = 39200/122.5,
x = 320.
Profit = 392 - 320 = 72.
(3)

Ashutosh Sharma said:   5 years ago
Gain =22.5% on C.P.

S.P=392 Rs.
Let C.P be Rs x.
Gain%= ((S.P-C.P)/C.P)*100.
((392-x)/x )*100 = 22.5.
x=320 rs.
Profit= S.P - C.P = 392-320 = 72 Rs Ans.

Vikky said:   5 years ago
Cp = 1 ÷ profit% * sp.

Aamir Rashdi said:   5 years ago
Profit%= s.p - c.p/ c.p.

Let x be the cost price.
Here profit %= 22.5.
S.p = 392 is given.
According to formula.
22.5/100= 392.

22.5x = 39200 - 100x.
122.5x = 39200.
X = 39200/122.5.
X = 320.
So, c.p is Rs 320.

Now finding profit.
Profit = s.p - c.p.
Profit = 392 - 320.
Profit = 72.

Raju said:   6 years ago
Thanks @Preitee.

Anusha Voleti said:   6 years ago
Given,

Gain%=22.5.
SP=392,
Profit =?.

We know that , profit = SP - CP.
Here CP = ?
We know that CP = (SP*100)/(100+gain).
So CP = (392 * 100)/(100+22.5) = 320.
Therefore profit = SP - CP.
= 392-320,
= 72.

BHUWAN JOSHI said:   7 years ago
Given:

sp= 392
gain=22.5%
let cp= ?.

We know that;
CP = (100/100+gain%) * SP.
CP = (100/100+22.5) * 392.
CP = 320.

Again,
profit = SP - CP.
= 392-320,
=72.

Kunal said:   7 years ago
@All.

In the question it is said the gain% = 22.5 then 22.5% of total gain will be the value of profit. Right, but it is not following in that way?

Can anyone please explain?

Sakshi said:   7 years ago
Thanks @Preitee.


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