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%
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:
147 comments Page 15 of 15.

Jaat tomar said:   1 year ago
Good, Thanks.
(2)

Aswini panguluri said:   1 year ago
Formula for profit percertage is (sp-cp) /cp * 100.
Then I think the answer is 250%.
(19)

Victoria meesala said:   1 year ago
If we use the cost price (CP) in the denominator, we would be calculating profit as a percentage of cost. So we used the selling price in the denominator.

Am I right?
(16)

PRANJAL KUMAR said:   11 months ago
@All.

Here the question is asked that;.
What percentage of the selling price is the profit? NOT PERCENTAGE PROFIT.

Please note it and solve...
(22)

Kalyani said:   6 months ago
Let us assume c.p = 100,
p=320% of c.p = 320,
s.p = 100+320 = 420,
CP increase at 25% the c.p = 125,
p = 420 - 125 = 295,
p% = (295/420) * 100 =>70%.
(5)

SAYAK SEN said:   5 months ago
cp = 100,
profit = 320%,
sp = 420,
new cp = 125,
sp = 420.
Let the selling % = x.
(x/100)*420 = 320,
x = 16/21 *100.
Selling % = 70% (approx).
(5)

Sangeetha Shetty said:   1 month ago
Step 1 — Assume CP = ₹100.
Profit = 320% of cost = ₹320.
So, SP = CP + Profit = ₹100 + ₹320 = ₹420.

Step 2 — New cost after 25% increase.
New CP = ₹100 × 1.25 = ₹125,
SP remains the same = ₹420.

Step 3 — New profit:
New profit = SP − New CP
= ₹420 − ₹125 = ₹295.

Step 4 — Find profit % on SP.
Profit % on SP = Profit SP × 100.
= 295.
Profit × 100 = 420.
295 × 100 = 70.23 %
 (approx)
= 70.23% (approx).
Answer: ≈ 70.2% of SP.
(3)


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