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:
354 comments Page 20 of 36.

Chintu jareda said:   8 years ago
Let, the cost price of one article is = C.P.
Then cost price of 20 article is = 20 * C.P.
And cost price of x article will be =x * C.P.

Given that % profit is 25%.i.e.,prifit = 25% of C.P.

Now we know that, selling price=cost price+profit = 1.25 * C.P.
Hence, selling price of x articles = x * (1.25 * C.P).
Given that s.p. of x article =c.p. of 20article.
x * (1.25 * C.P.) = 20 * C.P.
x = 20/1.25 = 16 Ans.

Suman Sourav said:   8 years ago
If I bought 20 article and sell 16 article that means 4 article saved, gain 25% (125=20 equ i and 100= x.....Equ 2 ) req article 16 will get easily.

Usha said:   8 years ago
Ans: d.
By using the formula.
Sp=(100+gain%)*cp/100.
Here cp of 20 articles = sp of x articles.
So,
Cp of 1 article = sp of x/20 articles.
X/20=(100+25)*1/100,
=>x=25.

Vff said:   8 years ago
why we assume cp =1?

Can anybody explain it?

Saurav kumar said:   8 years ago
The cost price-100,
selling price-120.
100 * 20 = 125 * x.
After solving value of x=16.

Aravind said:   8 years ago
Can't understand. Please explain me.

Suresh said:   8 years ago
Let C.P. of each article be Re. 2 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
40 - x x 100 = 25.
x
4000 - 100x = 25x,
125x = 4000,
x = 32.
x cannot be equal to 16.

If you presume Rs.1/- as cost price , x becomes 16. If you presume Rs.10/- as cost price, x becomes 160.

RAJA said:   8 years ago
Assume C.p of 20 articles = rs 20 (ie c.p of 1 articles = rs1).

S.p of x articles = c.p of 20 articles,
S.p of x articles = rs 20.
Then c.p of x articles =?.
They told 25% profit.
Profit % =((s.p - c.p)/c.p)*100.
25 = ((20-c.p)/c.p)*100.
C.p of x articles is rs 16.
So, x articles = 16 because c.p of 1 article = rs 1.

Vaishnavi said:   8 years ago
Why this (y-x)=(2x-x) is done? Explain.

Milan aryal said:   8 years ago
Bina Chand bought two kettles for Rs 1,625. She sold one of them at 20% profit and the others at 20% loss. If the selling price of both kettles are same, find the total cost price of each kettles and find her gain or loss percent in total transaction.

Can anyone solve this?


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