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?
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:
100 comments Page 9 of 10.
Aayush said:
9 years ago
Thank you all for explaining this solution.
Lucky said:
10 years ago
Short Trick to Solve this Question is likewise.
We know Selling Prize is 392 & Profit Percentage 22.5 %.
So,
CP = SP * P/100.
= 392 * 1225/1000.
= 320.
So, Profit = SP - CP.
P = 392 - 320 = 72.
Note: (If SP & Profit/loss % is given then Cp = SP * 100/P/l%. But, if CP & Profit/loss % is given then Sp = CP * P/L%/100).
We know Selling Prize is 392 & Profit Percentage 22.5 %.
So,
CP = SP * P/100.
= 392 * 1225/1000.
= 320.
So, Profit = SP - CP.
P = 392 - 320 = 72.
Note: (If SP & Profit/loss % is given then Cp = SP * 100/P/l%. But, if CP & Profit/loss % is given then Sp = CP * P/L%/100).
Om Prakash said:
10 years ago
Let C.P = x.
Therefore,
S.P = 22.5% of x + x.
=> (22.5/100) *x +x.
=> x((225/1000)+1).
=> x((9+40)/40).
=> 49x/40.
Acc to question,
(49x/40) = 392.
x = 15680/49.
x = 320.
Therefore, profit = 392 - 320.
=> 72 Ans.
Therefore,
S.P = 22.5% of x + x.
=> (22.5/100) *x +x.
=> x((225/1000)+1).
=> x((9+40)/40).
=> 49x/40.
Acc to question,
(49x/40) = 392.
x = 15680/49.
x = 320.
Therefore, profit = 392 - 320.
=> 72 Ans.
Dharsh said:
10 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.
and where we assume it as 15?
Please guide me.
Kavi said:
1 decade ago
How 1000 came there?
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.
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.
Prem g said:
1 decade ago
1225 = 3920.
100 = ?
? = (3920*100)/1225.
C.P = 320.
So profit = 392-320.
= 72 Rs.
100 = ?
? = (3920*100)/1225.
C.P = 320.
So profit = 392-320.
= 72 Rs.
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.
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.
MGNVPrasad said:
9 years ago
Profit = 22.5.
S.p = 392. I want cost price=?
Let c.p = 100 . Because we find out percentage as 100 Every where. C.p/100 = S.p/122.5.
C.p/100 = 392/122.5.
C.p = 320.
Profit = s.p - c.p = 392 - 320 = 72.
S.p = 392. I want cost price=?
Let c.p = 100 . Because we find out percentage as 100 Every where. C.p/100 = S.p/122.5.
C.p/100 = 392/122.5.
C.p = 320.
Profit = s.p - c.p = 392 - 320 = 72.
Satyam said:
1 decade ago
Let x is the cost price:
x*22.5/100 = 392-x.
x*22.5/100 = 392-x.
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