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:
99 comments Page 6 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.
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)
VAsU rEdDy said:
9 years ago
Cross multiply,
122.5 ---------> Rs. 392
100 -----------> ??
Ans: 320
==> Profit = 390 - 320
122.5 ---------> Rs. 392
100 -----------> ??
Ans: 320
==> Profit = 390 - 320
Aayush said:
9 years ago
Thank you all for explaining this solution.
Lucky said:
9 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).
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.
and where we assume it as 15?
Please guide me.
Om Prakash said:
9 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.
Azly said:
10 years ago
It's given that 22.5% profit is on cost price. So we should take cost as 100%,
Here we go,
Cost price + Profit = Selling price.
100% + 22.5% = 122.5%.
392*22.5/122.5 = 72.
Here we go,
Cost price + Profit = Selling price.
100% + 22.5% = 122.5%.
392*22.5/122.5 = 72.
(1)
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.
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