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 4 of 10.

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)

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)

DINESH said:   1 decade ago
Given S.P = 392, expect profit = 22.5%

Let us take C.P = 100.

C.P = (C.P/S.P)*S.P.
S.P = 122.5(EXPECTS).

C.P = (100/122.5)*392(real).
C.P = 320.
P = 392-320 = 72.

Raju said:   1 decade ago
Simple one.

22.5% = 9/40 which means there is a profit of 9 over 40.

So Cp = 40.
Sp = 49.
P = 9.

But in question Sp = 392 i.e. 8 times of 49.

So P = 9x8 = 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

Ashutosh Sharma said:   5 years ago
Gain =22.5% on C.P.

S.P=392 Rs.
Let C.P be Rs x.
Gain%= ((S.P-C.P)/C.P)*100.
((392-x)/x )*100 = 22.5.
x=320 rs.
Profit= S.P - C.P = 392-320 = 72 Rs Ans.

Ravichand said:   2 decades ago
@anshuma

CP = (100/(100+ Gain%))*SP is a formula.

Check once all formulas regarding profit&loss. So by substitution we can get answer easily.

Rajadurai.eee said:   1 decade ago
Normally take 100%. if 22.5% increase means 122.5%.

122.5% =392.

So 1% =392/122.5=3.2.

So 100% =100*3.2 =320.

Profit =392-320.

Answer: 72.

Max said:   4 years ago
100/(100+22.5) * 392,
= 100/122.5 * 392,
= 1000/1225 * 392,
= 320.

The formula says;
100/100+gain% * s.p.
Then how 1000/1225? Please explain.
(5)

Dharsh said:   9 years ago
If the profit percentage in question is mentioned as 15% then where we will assume it as 115
and where we assume it as 15?

Please guide me.


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