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 5 of 10.

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)

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)

Divyesh said:   1 decade ago
Let profit is x
s.p. = 392
c.p. = 392-x
now profit/c.p. = 22.5%
x/(392-x) = 22.5/100
x/392 = 22.5/122.5
solving this we get x = 72

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)

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)

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)

Sarfaraz khan said:   7 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)

Ved dubey said:   1 decade ago
Cost Price: (C.P.)

C.P. =100x S.P.
(100 + Gain %)

http://www.indiabix.com/aptitude/profit-and-loss/formulas

Chiru said:   1 decade ago
Hi to all
Let profit be 100
Given that gain is 22.5%
122.5--- 392
100---?
ie,(100*392)/122.5=320
profit=392-320=72

Vigneswari said:   1 decade ago
But the question tell that expected profit is 22.5 but ont explained as weekly profit.

Then how can we add it ?


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