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?
Answer: Option
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:
146 comments Page 13 of 15.
Raju said:
6 years ago
Profit = 320%of Cp.
Profit = 320/100 *cp.
Profit/cp = 320/100.
Profit = SP-CP.
320 = Sp-100.
Sp = 420.
CP is increase by 25% = 100+25 = 125.
New Cp = 125.
Profit = Sp-Cp.
P = 420-125 = 295.
Since it is ask for Sp,
P% = 295/420*100 = 70%.
Profit = 320/100 *cp.
Profit/cp = 320/100.
Profit = SP-CP.
320 = Sp-100.
Sp = 420.
CP is increase by 25% = 100+25 = 125.
New Cp = 125.
Profit = Sp-Cp.
P = 420-125 = 295.
Since it is ask for Sp,
P% = 295/420*100 = 70%.
(4)
Meera Salim said:
5 years ago
Thank you @Malini.
Arti sharma said:
5 years ago
Thank you all for explaining it.
Subhojit Mukherjee said:
5 years ago
Give Profit = 320% of CP = 3.2CP.
SP-CP = 3.2CP.
SP = 4.2CP.
New CP = CP+(25% of CP).
New CP = CP+(CP/4).
New CP = 1.25CP.
New Profit = SP- New CP.
New Profit = 4.2CP - 1.25CP.
New Profit = 2.95CP.
Required Percentage = (2.95CP/4.2CP)*100.
= 70.23%.
= 70%(approximately),
SP-CP = 3.2CP.
SP = 4.2CP.
New CP = CP+(25% of CP).
New CP = CP+(CP/4).
New CP = 1.25CP.
New Profit = SP- New CP.
New Profit = 4.2CP - 1.25CP.
New Profit = 2.95CP.
Required Percentage = (2.95CP/4.2CP)*100.
= 70.23%.
= 70%(approximately),
(6)
Prince said:
5 years ago
Can anybody tell me, why to assume the cp 100?
(4)
Amreen Zubaida said:
4 years ago
Hi, I am not getting this clearly. Anyone, please help me to get this?
Sunil bhandari said:
4 years ago
Thank you all for explaining the answer.
Omare Oréna said:
3 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%.
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%.
(6)
Helix said:
3 years ago
I can't understand this. Anyone, help me to get this.
(5)
Manasa said:
3 years ago
How they have get 21%? Please explain me.
(3)
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