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)

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)

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)

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

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)

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

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

Phub said:   9 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:   8 years ago
How 100 and 1000? explain.
(1)

Azly said:   10 years ago
It's given that 22.5% profit is on cost price. So we should take cost as 100%,

Here we go,

Cost price + Profit = Selling price.

100% + 22.5% = 122.5%.

392*22.5/122.5 = 72.
(1)


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