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 5 of 10.
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.
Kavi said:
1 decade ago
How 1000 came there?
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)
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.
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.
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).
Aayush said:
9 years ago
Thank you all for explaining this solution.
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
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)
Karthik said:
9 years ago
Thanks @Phub.
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