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 2 of 10.

Gowtham said:   2 years ago
Thank you everybody for explaining the answer.
(5)

Preet said:   3 years ago
Thanks everyone for explaining the answer.
(6)

D.PRASAD said:   4 years ago
C.P=(S.P/% OF PROFIT) * 100,
=(392÷(100+22.5) * 100,
=320.

PROFIT= S.P - C.P.
= 392-320
=72.
(6)

Jithendra said:   4 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.
(34)

Max said:   4 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.
(5)

Kanth said:   4 years ago
I think 88.25 is the answer.
(13)

Aravind said:   4 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%).
(1)

Rum said:   4 years ago
Let C.P. be 100,

Profit gave 22.5
According to it S.P. It Will be 122.5,

If we take the ratio of S.P. and C.P. it will be 122.5/100.
But according to question S.P given is 392 and we will let C.P. be x.
now 122.5/100 = 392/x.
it will be x = 320.
So, CP is 320 and S.P. is 392,
Profit = S.P - C.P.
= 392 - 320.
= 72 is our profit.
(18)

Arya reddy said:   4 years ago
How 1000/1225 comes? please anyone explain.
(2)

Rony said:   4 years ago
22.5% = 9/40.
C.P = 40unit,
profit=9unit.
Then S.P = 49unit.

Given
49unit = Rs 392,
1unit = Rs 8,
9unit = Rs 72(S.P).
(16)


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