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 2 of 12.

Raj said:   10 years ago
Hi friends.

6 articles cost is 5/-Rs.

1 article 5/6.

5 articles ...... 6.

1 article. ..... 6/5.

CP for 1 article is 5/6.

SP for 1 article is 6/5.

SP - CP/CP*100 = Profit percentage.

Write the values in formula:

6/5 - 5/6 = 11/30.

11/30/5/6*100 = 44%.

Simhachalam said:   1 decade ago
Try to follow best shortcut these type of problems is:
         Articles, Rupees 
C.P 6, 5 = 25.
S.P 5, 6 = 36.

Profit = ((S.P-C.P)/C.P)*100.

= ((36-25)/25))*100.

= (11/25)*100.

= 44%.

Kushi said:   9 years ago
6cp = 5rs----->eq1.

5sp = 6rs------->eq2.

Now eq2/eq1, then we will get 5sp/6cp = 6/5 by cross multiplying we get.

Sp/cp = 36/25, where sp = 36.

Cp = 25 (sp>cp).

So, profit = sp - cp---->36 - 25 = 11.
P% = 11 * 100/25 = 44%.

Vasuroshan said:   1 decade ago
@srees query.....

sp=4600
gain%=15

we have formulae that

gain%=gain*100/cp

=(sp-cp)*100/cp
=(4600-x)*100/x
gain%=15 then put the value for gain%

15=((4600-x)*100)/x

by solving we get (4600*20)/23=4000

so cost price is===4000

Ganesh M said:   4 years ago
In simple way,

CP of 6 article = 5Rs.
CP of 1 article = 5/6Rs.
and,
SP of 5 article = 6Rs.
SP of 1 article = 6/5Rs.

profit = SP-CP.
= 6/5 - 5/6 == 11/30.

And profit% = (profit/CP)*100 = (11/30)/(5/6) * 100 = 44%.
(44)

Utsav maithili said:   5 years ago
First, we must find the value of 1 article sp and sp.
Second than we find cp/sp ratio.
Cp/sp= 5/6*5/6 = 25/36.

Third find profit:
Sp-cp=36-25 = 11.

Lastly, we must find the percentage profit that is :
11/25 * 100 = 44%.

A.JAIN said:   1 decade ago
6 article in 5 Rs
1.........in 5/6Rs
5 article in 6 Rs
1.........in 6/5Rs
so solve this we get
((6/5)-(5/6))/(5/6)
solve this we get 11/25
this is our profet n toget profit in percentge multiply by 100 we get 44%
:)

Amit said:   8 years ago
First,

Cost Price of 6 articles is Rs.5
Then, Cost Price of 1 article is Rs 5/6
Now,
SP of 5 articles is 6.
So, SP of 1 article is 6/5.
Gain= SP-CP.
=6/5-5/6,
=11/30,

Now, Gain% = 11/30*100/5*6 = 44%.
Thank You.

M.Sireesha said:   1 decade ago
The short cut for the above problem is ((b^2-a^2)/a^2)*100.

Here b = 6 and a = 5.

Substitute these values in the above formula,

We get 6^2-5^2 = 36-25 = 11.

a^2 = 5^2 = 25.

Gain% = (11/25)*100.

= 44%.

Anandhakumar.P said:   1 decade ago
SP of 5 article = rs .6
therefore sp of 6 article = (6/5)*6 = rs. 7.2
now cp of 6 article(given) = rs. 5
gain = Sp -Cp = 7.2 - 5 = 2.2
gain % = (gain*100)/cp = (2.2*100)/5 = 44%
thats it !!!!!!!!!!!


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