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:
101 comments Page 3 of 11.

Phub said:   10 years ago
Gain% = 22.5; S.p =392.

C.P = (100/(100 + Gain%) * S.P).
C.P =(100/ (100 + 22.5) * 392) = 320.
So, profit = S.p - C.p = 392 - 320 = 72.
(1)

Priyanka hk said:   9 years ago
How 100 and 1000? explain.
(1)

Sarfaraz khan said:   8 years ago
cp =100 profit =22.5
sp =100+22.5 =122.5.

122.5 -------------> 22.5
392 --------------> x.

(392|*22.5)/122.5 = 72.
(1)

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)

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%).
(1)

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.
(1)

Shailesh Gadam said:   1 year ago
P = C×0.225 and
C = 392/1.225 = 320 thus ∵ S = C + P
P = 320*0.225 = 72
(1)

AJITHA said:   5 days ago
Very nice explanations. Thanks all for explaining.
(1)

Rajeev said:   2 decades ago
Can you explain me what formula used by you and how get 122.5?

Sunil said:   2 decades ago
Please explain with the formula which used in C.P


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