# 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:

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%.

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.

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%.

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)

Narmadha said:
3 months ago

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

Anyone, please explain it.

Anyone, please explain it.

(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?

Please explain me.

Please explain me.

(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).

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%.

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%.

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)

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