Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 2)
2.
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
15
16
18
25
Answer: Option
Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

20 - x x 100 = 25
x

2000 - 100x = 25x

125x = 2000

x = 16.

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

Discussion:
353 comments Page 30 of 36.

Ganesh said:   7 years ago
Profit 25% = 125#
125 - 20
100 - ?.
100 * 20/125 = 16.

Jagadeesh said:   7 years ago
If 20 article=100rs then each article=100/20=5.
X article= 100rs then each article=100/X,
Formula- %profit={(SP-CP)/CP}*100.
25={(100/X-5)/5}*100,
25={(100-5X/X)/5}*100,
25={(100-5X)/5X}*100,
25/100={(100-5X)/5X},
(1/4) 5X=(100-5X),
5X = 400-20X,
5X+20X = 400,
25X = 400,
X = 400/25=16.

Anjali said:   7 years ago
If we have given profit amount and also given a loss amount then how can we calculate the cost price of the product?

Please, anyone, clear my doubt.

Anitya said:   7 years ago
1.25x = 20,
x = 16.

Aisheeka said:   7 years ago
Thanks for your answer @Habib.

Ravi Teja said:   7 years ago
Thanks for the explanation @Sanjeeth.

S.N.V.Subbarao said:   7 years ago
Profit = 25%.

%profit= ((sp-cp) /cp)) * 100.
cp = x.
sp = 20.
25 = (20-x / x)*100.
x = 20 * 4-4x.
3x = 80.
x = 16.

Mateen Wani said:   7 years ago
CP*20 = SP*X.
CP/SP = X/20.
100/125 = X/20(profit is 25%, therefore if we take CP as 100% then SP will b 125%).
X = 16.

Satyam said:   7 years ago
25 is the answer.

Cost price 20(1+25%100).
20*125%100 = 25.

Hazard said:   6 years ago
Well said, Thanks @Mateen Wani.


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