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 1 of 10.

Sushil said:   4 weeks ago
392 = (22.5*x/100) + x,
X = 3200.
392-320 = 72.
(1)

Susmita said:   2 months ago
22.5% = 9/40.
CP = 40, Profit = 9 , SP = 49.
According to the question;
49 unit = 392.
1 unit = 8,
Profit = 9 units ×8 = 72.
(12)

Sruthi said:   2 months ago
Given sp= 392 and profit % = 22.5.
Let cp = 100%.
Then 122.5% = 392 (sp = cp + profit),
Then 22.5%=? Let it be x (Asked),
=> x = (392 * 22.5)/122.5.
=> x = 72.
(4)

Shailesh Gadam said:   5 months ago
P = C × 0.225 and
C = 392/1.225 = 320.
Thus S = C + P.
P = 320 * 0.225 = 72.
(1)

Shailesh Gadam said:   5 months ago
P = C×0.225 and
C = 392/1.225 = 320 thus ∵ S = C + P
P = 320*0.225 = 72

RBK said:   6 months ago
22.5% = 9/40.
Means CP = 40 and SP is 49.
Now total Sales (SP) = 392,
CP/SP= 40/49 if 49 is equal to 392 then 1 is equal to 8, finally we got CP= 40 X 8 =320.
Profit = 392-320 = 72.
(5)

Yawarbhat said:   7 months ago
22.5% = 9/40.
Means CP = 40 and SP is 49.
Now total Sales (SP) = 392,
CP = 392 ÷ 49 × 40 = 320,
Profit = 392-320 = 72.
(4)

Anoida Catherine said:   7 months 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.
(30)

Vicky said:   1 year 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)

Niklaus said:   2 years ago
Thanks, everyone for explaining it.
(3)


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