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?
Rs. 18.20
Rs. 70
Rs. 72
Rs. 88.25
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.

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.

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.

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

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.
(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.

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.
(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?

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.

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.
(1)


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