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?
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:
102 comments Page 2 of 11.
Anoida Catherine said:
2 years ago
As in the question SP= 392 Rs.
And Profit% the shopkeeper gets = 22.5%,
The CP is not given so let's take it as x.
we know that Profit% = Profit/CP * 100 (Profit= SP - CP).
Therefore 22.5 = 392-x/x * 100.
By solving we get 22.5x = 39200 - 100x,
x = 39200/122.5,
x = 320 which is CP.
So the conclusion is Profit = SP - CP.
That is 392 - 320 = 72.
And Profit% the shopkeeper gets = 22.5%,
The CP is not given so let's take it as x.
we know that Profit% = Profit/CP * 100 (Profit= SP - CP).
Therefore 22.5 = 392-x/x * 100.
By solving we get 22.5x = 39200 - 100x,
x = 39200/122.5,
x = 320 which is CP.
So the conclusion is Profit = SP - CP.
That is 392 - 320 = 72.
(34)
Vicky said:
2 years ago
(100 / 100+22.5) *392,
(100 / 122.5)*392,
(1000/1225)*392.
320.
To remove the decimal in the denominator the numbers 100/122.5 were multiplied by 10 in both the numerator and denominator.
(100 / 122.5)*392,
(1000/1225)*392.
320.
To remove the decimal in the denominator the numbers 100/122.5 were multiplied by 10 in both the numerator and denominator.
(1)
Niklaus said:
3 years ago
Thanks, everyone for explaining it.
(3)
Gowtham said:
3 years ago
Thank you everybody for explaining the answer.
(5)
Preet said:
4 years ago
Thanks everyone for explaining the answer.
(6)
D.PRASAD said:
5 years ago
C.P=(S.P/% OF PROFIT) * 100,
=(392÷(100+22.5) * 100,
=320.
PROFIT= S.P - C.P.
= 392-320
=72.
=(392÷(100+22.5) * 100,
=320.
PROFIT= S.P - C.P.
= 392-320
=72.
(6)
Jithendra said:
5 years ago
Just simple formula
.
His sale was 392. So the selling price is 392.
C.P = ((100/100+gain) * S.P).
C.P = 100 * 392/100+22.5 => 39200/122.5,
C.P = 39200/122.5 => 320.
Profit = S.P - C.P.
Profit = 392-320 => 72.
.
His sale was 392. So the selling price is 392.
C.P = ((100/100+gain) * S.P).
C.P = 100 * 392/100+22.5 => 39200/122.5,
C.P = 39200/122.5 => 320.
Profit = S.P - C.P.
Profit = 392-320 => 72.
(35)
Max said:
5 years ago
100/(100+22.5) * 392,
= 100/122.5 * 392,
= 1000/1225 * 392,
= 320.
The formula says;
100/100+gain% * s.p.
Then how 1000/1225? Please explain.
= 100/122.5 * 392,
= 1000/1225 * 392,
= 320.
The formula says;
100/100+gain% * s.p.
Then how 1000/1225? Please explain.
(5)
Kanth said:
5 years ago
I think 88.25 is the answer.
(13)
Aravind said:
5 years ago
I think this the formula for the first step;
Cp*(100 +Profit or Loss% / 100) = SP.
Therefore, CP = SP*100/(100 + Profit or loss%).
Cp*(100 +Profit or Loss% / 100) = SP.
Therefore, CP = SP*100/(100 + Profit or loss%).
(1)
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