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 8 of 10.
Chandra said:
1 decade ago
Hai please I expect explanation for this problem.
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.
CP = (100/(100+ Gain%))*SP is a formula.
Check once all formulas regarding profit&loss. So by substitution we can get answer easily.
Anshuma Chugh said:
2 decades ago
122.5 is used by addint cost with profit,here in this formula 100/(100+22.5)*S.P we assume 100 as cost price and add 22.5 of 100 and then divide it to 100 so that ratio can be calculated and themn mutiply by any number that is S.p,r you gtng me if not then mail me at tulip_2dec@yahoo.co.in
Praveen said:
2 decades ago
cp=(100/(100+gain%))*sp
100+(45/2)=122.5
100+(45/2)=122.5
Sunil said:
2 decades ago
Please explain with the formula which used in C.P
Satyam said:
1 decade ago
Let x is the cost price:
x*22.5/100 = 392-x.
x*22.5/100 = 392-x.
Rajeev said:
2 decades ago
Can you explain me what formula used by you and how get 122.5?
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).
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