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 6 of 10.

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

Sarmila said:   1 decade ago
How did come 122.5 ?

Sathis said:   1 decade ago
Thank you
Preitee..

Bhawna Jain said:   1 decade ago
Let Cp=x
Profit= 22.5%
= 225x/100

SP = CP + Profit
392 = x + 225x/100
392 = .225x
x = 320 ( CP)

Profit = SP-CP
= 392-320
= Rs.72/-( Answer)

Vasim said:   1 decade ago
Preitee Ranjan you are right.

Ruby said:   1 decade ago
If cost price is Rs100
Profit is 22.5% of cost price.
i.e. 100*22.5% = Rs.22.5

Selling price is 100+22.5 = 122.5
By unitary method if
S.P. is 122.5 then profit is 22.5

Thus if S.P. is Re.1 then profit is 22.5/122.5
And if S.P. is 392 then profit is (22.5/122.5)*392 = Rs 72.

Gowtham said:   1 decade ago
Hai guys .......

All are know find profit percentage formula
%p=((sp-cp)/cp)*100
given sp=392
profit percentage is 22.5%
apply given value to formula

22.5=((392-x)/x)*100
x=320
profit=sp-cp
profit=392-320
Ans is 72.

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


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