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 26 of 36.

Radhakrishnan N said:   7 years ago
Cost = Rs 100 For 20=Rs2000,
Sale price of x articles= Rs 2000,
Profit 25% sale price Rs125,
125x = Rs 2000,
X= 2000/125= 16.

Francis said:   7 years ago
It is given that;

20(C.P)=x(S.P).
And we know that,
Profit=(SP-CP) /CP.
Therefore,0.25=(SP-(SP*x/20))/(SP*x/20)).
Solving the equation we have,
x=16.

Jeet said:   7 years ago
Best solution. Thanks @Radhakrishnan.

Shreeshail karajol said:   7 years ago
(20) cp=(x) sp ------> 1.

Profit=25%.

Means
sp = 125% of cp.
sp = 125/100*((x*sp)/20) {because 1}.
1= 125*x/100*20.
2000/125 = x.
X = 16.

Mounika said:   7 years ago
@Chetan.

Your explanation is good and easy to understand.

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.


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