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:
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:
355 comments Page 22 of 36.
Nithin said:
9 years ago
Guys, I will tell you a basic logic which I felt.
Assumption but it works
25% of profit.
Means
It can be
Sp - Cp = Profit.
125 - 100 = 25.
So no of items which can be bought is 100/125 = 8.
So, the answer must be a multiple of 8.
Assumption but it works
25% of profit.
Means
It can be
Sp - Cp = Profit.
125 - 100 = 25.
So no of items which can be bought is 100/125 = 8.
So, the answer must be a multiple of 8.
Sagar said:
9 years ago
Consider CP=100, we know profit 125.
If in 125 rupees - 20 article.
Then in 100 - ?
= 100/125 x 20 = 16.
If in 125 rupees - 20 article.
Then in 100 - ?
= 100/125 x 20 = 16.
Nidhi said:
9 years ago
CP. : SP
100% : 125%
4 : 5
Article 5 : 4 (Inversely proportional).
20 : 16
Answer is 16 article.
100% : 125%
4 : 5
Article 5 : 4 (Inversely proportional).
20 : 16
Answer is 16 article.
Bhavana said:
9 years ago
Hello, I am confused why profit 25% of cost=20% of the selling price? Explain it.
Kaviarasan said:
9 years ago
@Nithi.
Your explain is very nice easy to understand.
Your explain is very nice easy to understand.
Ujwal said:
9 years ago
Total SP = sp of x item +sp of 20-x items=cp+sp of 20-x items.
Profit = total sp - total c p =cp + sp of 20-x items-cp = sp of 20-x items.
Profit % = profit * 100/cp.
i.e. 25=(20-x) * 100/x.
Therefore, x =16.
Profit = total sp - total c p =cp + sp of 20-x items-cp = sp of 20-x items.
Profit % = profit * 100/cp.
i.e. 25=(20-x) * 100/x.
Therefore, x =16.
Pooja said:
9 years ago
Your explanation is awesome @Chetan.
David samuel said:
9 years ago
Given
CP of 20 articles = s.p of x articles --> 1.
From formula (s.p=100+p%/100 x c.p).
We get s.p =5/4 c.p --> 2.
Put 2 in 1.
CP of 20 articles = 5/4 c.p of x articles.
CP of 1 article =(5/4 *1/20) c.p of x articles.
Hence we get x = 16.
CP of 20 articles = s.p of x articles --> 1.
From formula (s.p=100+p%/100 x c.p).
We get s.p =5/4 c.p --> 2.
Put 2 in 1.
CP of 20 articles = 5/4 c.p of x articles.
CP of 1 article =(5/4 *1/20) c.p of x articles.
Hence we get x = 16.
Samrat Ghosh said:
9 years ago
Let Cost price of each is a & selling price of each is b.
So, 20 * a = b * X.... i.e 20a = bx -------> (i)
Again, as the profit is 25% so,
a * 125/100 = b...... i.e, 5a = 4b -------> (ii)
Dividing Equation (i) by (ii),
20a/5a = bx/4b.
or, 4 = x/4.
or, x = 16. (ans)
So, 20 * a = b * X.... i.e 20a = bx -------> (i)
Again, as the profit is 25% so,
a * 125/100 = b...... i.e, 5a = 4b -------> (ii)
Dividing Equation (i) by (ii),
20a/5a = bx/4b.
or, 4 = x/4.
or, x = 16. (ans)
JBPATEL said:
9 years ago
(c.p-s.p)/s.p * 100 = per
(20-x)/x * 100 = 25.
Solve it and you get x=16.
(20-x)/x * 100 = 25.
Solve it and you get x=16.
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