# Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 4)
4.
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
30%
70%
100%
250%
Explanation:

Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125

New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295.

 Required percentage = 295 x 100 % = 1475 % = 70% (approximately). 420 21

Video Explanation: https://youtu.be/bQA8SB8ycbw

Discussion:
137 comments Page 1 of 14.

Adarsh J R said:   1 week ago
Given:
profit=320%.
C.P = increases 25%.
S.P = remains constant.
Asking, S.P % if C.P is increased 25% for the profit 320%?
Generally, when C.P. increases 25% obviously S.P decrease 25% for the same 320%profit.
i.e, S.P - C.P = Profit.

If, S.P(100) - C.P(100) = 320.
Then, C.P(125) - S.P(75) = 320 [when C.P increases 25%],
Therefore, S.P = 75%,
Approximately, S.P = 70%.

Mahee said:   2 weeks ago
@All.

Here they took SP in the denominator because in the question they asked "what percentage of SP is the profit".

Correct me, if I'm wrong.

Gamal said:   1 month ago
Profit % = (s.p - c.p )*100/c.p.
say c.p = 100 Re.
Therefore s.p=420 Re
The cost inc by 25% = 125 Re,
s.p = 420 Re.

The profit it requires percent of the selling price = (420-125/420)*100 = 70%.
(3)

While calculating profit%, we should have to take CP in the denominator right? why they took SP?

(14)

Anil said:   8 months ago
We always calculate with cost price, we can't take profit percentage on selling price,then how could you take s.p over c.p?

(37)

Kshitiz Vaya said:   8 months ago
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125.
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295.
Required percentage = (Profit/Cost Price) * 100 = Rs. (295/125)*100 = 236%
Ans = 250% (approximately).
(43)

Bhupal said:   8 months ago
Let Cp = 100.
Gain = 320
SP = 420
Now;
Gain% = Gain ÷ sp * 100.
= 420-125/420 * 100.
= 295/420 * 100
= 29500 ÷ 420
= 70%.
(5)

Manasa said:   9 months ago
How they have get 21%? Please explain me.
(2)

Helix said:   1 year ago
I can't understand this. Anyone, help me to get this.
(3)

Omare OrÃ©na said:   2 years ago
(Gain/C.P)*100 = 320.

Taking C.P as 'x' & S.P as 'y',

We can get S.P as a function of C.P:

(y-x)/x = 320/100.
y=4.2x.

Gain as a percentage of S.P when only C.P increases by 25%:

New C.P = x + 25x/100.
= 1.25x.

S.P = y = 4.2x i.e unchanged.

(S.P - C.P)*100/S.P = (4.2x - 1.25x)*100/4.2x.
= 70%.
(5)