Aptitude - Profit and Loss - Discussion

Discussion Forum : Profit and Loss - General Questions (Q.No. 10)
10.
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
30%
33 1 %
3
35%
44%
Answer: Option
Explanation:

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

C.P. of 30 articles = Rs. 5 x 30 = Rs. 25.
6

S.P. of 30 articles = Rs. 6 x 30 = Rs. 36.
5

Gain % = 11 x 100 % = 44%.
25

Discussion:
116 comments Page 9 of 12.

Arun kumar said:   1 decade ago
CP of 6 articles is Rs 5.

SP of 5 articles is 6.

One article SP is = 6/5 = 1.2.

we will calculate gain after selling all the articles only.
So we need to take remaining article.

So Total selling price = 1.2*6 = 7.2.

Now CP 5--------------- 100%

7.2 ---------------- ?

SP% = (7.2*100)/5 = 144.

Gain = 144-100 = 44%.

Anupom said:   1 decade ago
CP
6 article in Rs. 5.
5 article in Rs. (5*5/6)=25/6.

SP
5 article in Rs.6.

Profit = 6-25/6=11/6.

Profit% = ((11/6)/(25/6))*100% = (11*6*100)/(6*25) % = 44% Answer.

GAURAV BHARDWAJ said:   1 decade ago
Cost price of 1 article = (5/6).

Selling price of 1 article = (6/5).

So Gain% = ((S.P-C.P)/C.P)*100.

So Gain% = (((6/5) - (5/6))/(5/6))*100.

Gain% = 44% Solved.

Mona said:   1 decade ago
C.P of 6 article = Rs. 5.
S.P of 5 article = Rs. 6.
S.P of 6 article = 6x6/5.

Profit= S.P - C.P = 11/25.
Profit% = 11/25 x 100 = 44%.

Chandan Muduli said:   1 decade ago
This is very short Method :

6 5
5 6

= (6X6)-(5X5)/5X5 X 100 = 44.

Pandu said:   1 decade ago
Simply profit=6/5-5/6 =11/30.

G%=profit/cp*100 =(11/30)/5/6*100 =44%.

Satnam said:   1 decade ago
CP of 6 = 5
CP of 1 = 5/6 = 0.83
CP of 5 = CP of 6 - CP of 1
= 5-0.83 = 4.16

SP of 5 = 6

Clearly profit and profit = SP of 5 items - CP of 5 items.
= 6 - 4.16 = 1.84

Profit % = gain/CP*100
= 1.84/4.16*100 = 44.23
Approx 44%.

Rajasekhar said:   1 decade ago
Yes Altab you can solve the above problem using unitary method as follows


C.P of one article is 24/16=3/2=1.5

S.P of one article is 18/8=9/4=2.25

gain %=(2.25-1.5)*100/1.5=50 %

Monika said:   1 decade ago
@Samiksha is right.

Altab said:   1 decade ago
Can we solve this by unitary method,the ans is 50%
a man bought some fruits at 16 for rs 24 and sold them at the rate of 8 for rs 18. Whats the profit %...?


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