Aptitude - Profit and Loss - Discussion

13. 

100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

[A].
14 2 % gain
7
[B]. 15% gain
[C].
14 2 % loss
7
[D]. 15 % loss

Answer: Option A

Explanation:

C.P. of 1 orange = Rs. 350 = Rs. 3.50
100

S.P. of 1 orange = Rs. 48 = Rs. 4
12

Gain% = 0.50 x 100 % = 100 % = 14 2 %
3.50 7 7


Amruta said: (Dec 25, 2010)  
how .50 in Gain% came from

Vijay said: (Feb 8, 2011)  
Gain=(s.p-c.p)
=4-3.5
=0.5

Man said: (May 12, 2011)  
His gain must be calculated on Rs 4 sale price not cost prize.

Mrs Pallavi said: (May 19, 2011)  
"It's very simple use common logic no need to use any formula"

c.p=350
s.p=?
350/100=3.5 c.p of 1 orange
3.5*12= 42 c.p of 1 dozen oranges.

48/12=4 s.p of 1 orange
4*100=400 s.p of 100 oranges
therefore
profit=s.p-c.p
=400-350
=50
profit %= 50/350*100
=14.28 %
i.e ans. (a) gain

Rajkumar said: (May 3, 2012)  
100 oranges for 350 rs

100 oranges make 8.33 dozens (100 / 12 = 8.33)

and sells 1 dozen for 48 rs

so

1 dozen -----> 48 rs
then 8.33 dozens -----> ?

8.33 * 48 = 400

gain = S.P - C.P

= 400 - 350

= 50

gain % = (gain / C.P) * 100

= (50 / 350) * 100

= 100 / 7

= 14.28

Rajadurai.Eee said: (Aug 12, 2012)  
100 orange=350rs

1 dozen(i.e 12 orange)=48Rs. So 1 orange-->48/12=4Rs

So100 orange-->100*4=400rs

Profit=S.P-C.P

Profit-->400-350=50Rs

Profit% =(profit * 100)/C.P

So profit% =(50 * 100)/350

Simplify above Answer : 14.28%

Iamateur said: (Feb 6, 2013)  
The question is asked for The percentage of profit or loss is:

And in the answer we are finding only gain%.

Why not loss%?

John said: (Feb 15, 2013)  
For any business we will get either gain or loss But not both.
So in problem we get only gain i.e profit.
As selling price is greater than cost price.

So we will get gain .
S.P > C.P (gain).
S.P < C.P (loss ).

In problem we got S.P as 4 and C.P as 3.5.

Monika said: (Mar 16, 2013)  
CP of 100 = Rs.350.

CP of 1 = 350/100.
= 7/2.

SP of 12 = Rs.48.

CP of 12 = 7/2*12.
Rs.48.

G=SP-CP
= 48-42
= 6.

G% = 6/42*100
= 14 2/7.

Pandiarajan said: (Apr 12, 2013)  
Totally 100 oranges total amount 350.

Sold 12 as 48 one as 48/12=4 so 100 sold as 400.

Profit 400-350 = 50.

Profit % = 50/350*100 = 100/7 = 14 2/7%.

Harish said: (Sep 20, 2013)  
Gain% = SP-CP/SP * 100.

Ashu said: (Dec 10, 2014)  
Sp = 8*48+4*3.5 = 398.
Cp = 350.

Then, (48*100)/350 = 13 2/7.

Clear me where I m wrong?

Hasnat Zaman said: (Jan 5, 2015)  
When particulars cp and sp are not given then how to find cp and sp?

Neha said: (Feb 24, 2015)  
See as given in question CP of 100 oranges are Rs. 350.

Now,

So of one dozen orange is Rs. 48. One dozen means 12.

So, 12 oranges is sold in Rs. 48.

1 orange is sold in 48/12.

100 orange is sold in 48*100/12 = 400.

Now,

Sp = 400.

Cp = 350.

Gain = sp-cp.

Gain = 400-350 = 50.

Gain% = 50*100/350 = 100/7 answer.

Arush Baggel said: (Jul 24, 2015)  
Please tell in short form but explaining method better.

Sravani said: (Sep 6, 2015)  
The gain so obtained is not accurate I guess because still 4 more oranges are left you over as the S.P is per dozen.

Priya said: (Oct 21, 2015)  
Ya I also get 14.2% but we can assume 15%. So how 1st answer will be correct please give me full explanation I don't understand and what is the options its also very typical to understand so give me full explanation.

Rajesh said: (Dec 31, 2015)  
100 oranges are bought at the rate of Rs. 350.

1 dozen = 48.

= 100/12 = 8.33.

= 8.33*48 = 400.

= 350*14.2% = 400.

Answer : 14 2/7%.

Mgnvprasad said: (Oct 12, 2016)  
Buyed 100 oranges = Rs 350,
1 orange = 3.5 sold.
12 oranges = Rs 48, 1 orange = 4.

From above you observed bought and sold off 1 oranges 3.5 to 4.
There is a profit of 0.5.
0.5/c.p = 0.5/3.5 = 1/7 = in percentage 100/7 = we get 14 2/7.

Sandeep said: (Oct 25, 2016)  
I got 14 but how is 2/7 I didn't get. Someone help me.

Pramod Pharate said: (Nov 26, 2016)  
100 orange = 350rs
1 orange = 3.5 rs

For 1 dozzen orange c.p = 3.5 * 12 = 42 rs.
For 1 dozzen orrange s.p = 48 rs.
Therefore profit = Rs. 6.
Therefore profit% = profit/c.p * 100,
= 6/42 * 100,
= 14 * 2/7.

Dhiraj Shah said: (Dec 2, 2016)  
Please explain the last step in detail.

Namsig said: (Jan 29, 2017)  
0.50 * 100/3.50 after that how we will get 100%/7?

Jyothsna said: (Nov 7, 2017)  
@Dhiraj shah.
SP of 1 orange = 48/12 => 4 (1 dozen =12 oranges).
CP of 1 0range = 350/100 => 3.5.
profit = 4-3.5 (SP -CP) => 0.5.
profit % = (0.5/3.5)*100=14 *2/7.

Aiysha Alafiya said: (Feb 15, 2018)  
100 orange =350rps.
C.p of 1 orange= 350/100 = 3.50.
S.p =Rs 48 per dozens.
It means s.p of 1orange = 48/12.
The s.p of 1 orange = 4.

Now,
S.p of 1 orange =4.
C.p of 1 orange =3.50.
Gain = S.P - C.P.
=4 - 3.50.
=0.5.

Gain% = (Gain * 100/C.p),
= (0.5*100/3.5),
= 14.27.

Rohit Thakur said: (Jun 5, 2018)  
C.P of 100 oranges = 350,
S.P of 100 oranges = 48 per dozen,
48/12 = 4.
S.P of 100 oranges = 100 X 4 = 400,
Then, difference is 400 - 350 = 50,
50/350 X 100 = 14.27 Ans.

Heiya said: (Jul 20, 2019)  
1 orange =350/100 = 3.50.
SP of orange = 48/12 = 4,
%gain = profit/CP * 100.
%gain =0.50/3.50 * 100=14 2/7.

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