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 7 of 10.
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.
Subi said:
1 decade ago
C.P = (100sp)/(100+p).
>>100*392/122.5 = 320.
>>profit = 392-320 = 72.
>>100*392/122.5 = 320.
>>profit = 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.
Johir said:
1 decade ago
If cost price = 100 sell price = 100+22.5 = 122.5.
If selling price is 122.5 then profit 22.5.
.............. 1 ......... 22.5/122.5.
.............. 392 ....... (22.5*392)/122.5 = 72.
If selling price is 122.5 then profit 22.5.
.............. 1 ......... 22.5/122.5.
.............. 392 ....... (22.5*392)/122.5 = 72.
Amit singhal said:
1 decade ago
Let x is the cost price:
x*22.5/100 = 392-x.
x*22.5/100 = 392-x.
Damodar Narayan said:
1 decade ago
PROFIT = S.P - C.P.
Shopkeeper expects a gain of 22.5% on his cost price.
i.e S.P = C.P + 22.5% of C.P.
= C.P(1+(22.5/100)).
S.P = 1.225 C.P.
His sale was of Rs. 392 i.e S.P = 392.
392 = 1.225 C.P.
C.P = 320.
Shopkeeper expects a gain of 22.5% on his cost price.
i.e S.P = C.P + 22.5% of C.P.
= C.P(1+(22.5/100)).
S.P = 1.225 C.P.
His sale was of Rs. 392 i.e S.P = 392.
392 = 1.225 C.P.
C.P = 320.
Snehal said:
1 decade ago
(S.P. - C.P.)/C.P. = gain(Over here it is 22.5)/100.
Which is same as,
S.P./C.P. - 1 = gain / 100 //JUST DIVIDE BY DENOMINATOR AT L.H.S
S.P. / C.P. = 1 +(gain / 100) //TAKE 1 ON R.H.S
S.P./ C.P. = (gain + 100) / 100 // SIMPLIFY R.H.S
C.P. = 100 * S.P. /(gain + 100)
This formula has come from the basic concept of profit.
Which is same as,
S.P./C.P. - 1 = gain / 100 //JUST DIVIDE BY DENOMINATOR AT L.H.S
S.P. / C.P. = 1 +(gain / 100) //TAKE 1 ON R.H.S
S.P./ C.P. = (gain + 100) / 100 // SIMPLIFY R.H.S
C.P. = 100 * S.P. /(gain + 100)
This formula has come from the basic concept of profit.
Sonu garg said:
1 decade ago
Let C.P is X.
And S.P is 392.
By formula, gain % = (gain*100)/C.P.
Here gain = 392 - X.
So,
22.5 = {(392-X)100}/X.
122.5X = 39200.
X = 320
So C.P = 320.
Profit = 392 - 320.
= 72.
And S.P is 392.
By formula, gain % = (gain*100)/C.P.
Here gain = 392 - X.
So,
22.5 = {(392-X)100}/X.
122.5X = 39200.
X = 320
So C.P = 320.
Profit = 392 - 320.
= 72.
Raghavendra said:
1 decade ago
We consider CP as 100%.If he got a profit of 22.5%, we can say that SP is 122.5% of CP.
If this 122.5% of CP=392(given in question).
Then 100% of CP=320 (this can be done through cross multiplication).
Through difference B/W SP and CP we can get the profit as Rs.72.
OR
Here given that CP+profit=392.
CP is considered 100% and he made a profit of 22.5% on this CP,
Then SP=122.5% of CP=392,
Then 22.5% =72(through cross multiplication).
If this 122.5% of CP=392(given in question).
Then 100% of CP=320 (this can be done through cross multiplication).
Through difference B/W SP and CP we can get the profit as Rs.72.
OR
Here given that CP+profit=392.
CP is considered 100% and he made a profit of 22.5% on this CP,
Then SP=122.5% of CP=392,
Then 22.5% =72(through cross multiplication).
Pooja said:
1 decade ago
Thanks preitee nice explanation.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers