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 8 of 12.

Sushant said:   9 years ago
How to take LCM for both?

Please help me.

Rita said:   9 years ago
CP of 6 article = 5.
Then, 1 article = 5/6.

SP of 5 article is = 6.
Then, 1 article = 6/5.

Profit = SP - Cp.
= 6/5 - 5/6.
= 36 - 25/30.
=11/30.

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

Bunny watto said:   9 years ago
@Subramanya .

C.P = 3000.
S.P = 4000.
Profit = SP - CP.
= 4000 - 3000,
= 1000.

Profit%= (profit/CP) * 100.
= (1000/3000) * 100,
= 33.33%.

Anam said:   9 years ago
C.P of 1 article = Rs(5/6) = .833.
S.P of 1 article = Rs(6/5) = 1.2.

C.P of 5 articles = Rs(0.833*5) = Rs 4.165.
S.P of 5 articles = Rs 6.

Profit = S.P - C.P,
= 6 - 4.165.
= 1.835.

Profit%= (Profit * 100/C.P),
= (1.835 * 100/4.165),
= 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%.

Komal said:   9 years ago
C.P of 1 article = Rs (5/6) = 0.833.
S.P of 1 article = Rs (6/5) = 1.2.

Profit = 1.2 - 0.833 = 0.367.

%Gain = (Profit/CP) * 100.
= (0.367/0.833) * 100.
= 0.44 * 100 = 44%.

Ramakrishnaredy said:   9 years ago
S.P = 4600
Profit = 15%
C.P = 100 * 4600/100 + 15 = 4000.

Prince said:   9 years ago
Simpler Method :

6 articles------> 5 Rs
CP of 1 = 5/6

5articles------->6 Rs
SP of 1 = 6/5

%P = SP - CP/CP * 100

Ans----> 44%.

Sankar said:   8 years ago
Nice explanation @Prince.

Sumit said:   8 years ago
SP of 5 article=Rs 6.
CP of 6 article=Rs 5.
CP of 1 article= Rs 5/6=0.83.
so, CP of 5 article=Rs 0.83*5=4.15.
Gain=SP - CP =6-4.15=1.85.
G%=1.85/4.15*100=44.573= 44%(approx).


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