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 3 of 10.
Chinni said:
9 years ago
A person sells 2 articles for 100rs. He sold 1st article and loss 5% when he sold 2nd article he gains 20%, the overall gain is 5%. What is the cost of the 1st article?
Please explain it with the solution.
Please explain it with the solution.
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.
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.
PREITEE RANJAN said:
1 decade ago
MY FRNDS
LET CP=X....
=> SP=X+(22.5%X)
=>SP=1.225X
BUT GIVEN SP=RS 392
=>1.225X=392
=>X=320=CP
NOW PROFIT(ie CALCULATED ON CP) IMPLYING P=(392-320)=72
NO FOMULA NO DOUBT ONLY FUNDA
LET CP=X....
=> SP=X+(22.5%X)
=>SP=1.225X
BUT GIVEN SP=RS 392
=>1.225X=392
=>X=320=CP
NOW PROFIT(ie CALCULATED ON CP) IMPLYING P=(392-320)=72
NO FOMULA NO DOUBT ONLY FUNDA
Vicky said:
1 year ago
(100 / 100+22.5) *392,
(100 / 122.5)*392,
(1000/1225)*392.
320.
To remove the decimal in the denominator the numbers 100/122.5 were multiplied by 10 in both the numerator and denominator.
(100 / 122.5)*392,
(1000/1225)*392.
320.
To remove the decimal in the denominator the numbers 100/122.5 were multiplied by 10 in both the numerator and denominator.
(1)
Jyoti said:
7 years ago
P=392-x.
%=p/cp*100.
22.5=(392-x)/x*100.
22.5x=392-x*100,
22.5x=39200-100x,
22.5x+100x=39200,
122.5x=39200,
x=39200/122.5,
x=392000/1225,
x=320-->cp.
P=392-x,
P=392-320,
P=72 Rs.
%=p/cp*100.
22.5=(392-x)/x*100.
22.5x=392-x*100,
22.5x=39200-100x,
22.5x+100x=39200,
122.5x=39200,
x=39200/122.5,
x=392000/1225,
x=320-->cp.
P=392-x,
P=392-320,
P=72 Rs.
RBK said:
6 months ago
22.5% = 9/40.
Means CP = 40 and SP is 49.
Now total Sales (SP) = 392,
CP/SP= 40/49 if 49 is equal to 392 then 1 is equal to 8, finally we got CP= 40 X 8 =320.
Profit = 392-320 = 72.
Means CP = 40 and SP is 49.
Now total Sales (SP) = 392,
CP/SP= 40/49 if 49 is equal to 392 then 1 is equal to 8, finally we got CP= 40 X 8 =320.
Profit = 392-320 = 72.
(5)
Kunal said:
7 years ago
@All.
In the question it is said the gain% = 22.5 then 22.5% of total gain will be the value of profit. Right, but it is not following in that way?
Can anyone please explain?
In the question it is said the gain% = 22.5 then 22.5% of total gain will be the value of profit. Right, but it is not following in that way?
Can anyone please explain?
BHUWAN JOSHI said:
7 years ago
Given:
sp= 392
gain=22.5%
let cp= ?.
We know that;
CP = (100/100+gain%) * SP.
CP = (100/100+22.5) * 392.
CP = 320.
Again,
profit = SP - CP.
= 392-320,
=72.
sp= 392
gain=22.5%
let cp= ?.
We know that;
CP = (100/100+gain%) * SP.
CP = (100/100+22.5) * 392.
CP = 320.
Again,
profit = SP - CP.
= 392-320,
=72.
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)
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