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 9 of 10.

Vaishali said:   1 decade ago
Thanks preitee.

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 ?

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

Siva said:   1 decade ago
cp=?,sp=392,profit=22.5%
cp=(100/(100+profit%)*sp)
=100/(100+22.5)*392
=100/122.5*392
=1000/1225*392
cp=320
if profit=sp-cp
=392-320
profit=72

Mrs pallavi said:   1 decade ago
We have simple formula
s.p=(100+profit%)*c.p/100
392=(100+22.5)*c.p/100
392=(125)*c.p/100
392/122.5=c.p/100
3.2=c.p/100
therefore c.p=320
profit=s.p-c.p
=392-320
= 72

therefore profit is rs.72

Sarmila said:   1 decade ago
How did come 122.5 ?

Srinivasu said:   1 decade ago
Thanq you preitee.

Rohita said:   1 decade ago
I cannot understand this question please solve the simple way.

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


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