Aptitude - Profit and Loss - Discussion

Given :
Selling price with profit = 1920/-
Selling price with loss= 1280/
1920 - 1280 =640
RS.640 is loss.

Here Profit==Loss
So,
Half the amount is profit . that is RS.320/- ]

Cost price =selling price-profit.
= 1920 - 320,
=> 1600/
-
What is 25% in 1600/-
25/100 * 1600 = 400.

cp + profit(25%) = sp.
then, 1600+400 = 2000/- that is the selling price with 25%..

Why 125%? Please explain.

1920 + 1280 ÷ 2.
1600 than 25%.
1600 * 5/4 = 2000.

Hello, guys for clear govt. The exam follows these steps:
Cp = average of both selling price (because gap is same)
= 1600.
New sp = 1600 * 5/4 = 2000(ans).

since profit(P) and loss(L) percentages are same:
=> P% = L% => P = L .
S.P for P% =1920 ; S.P for L% = 1280
=> 2P =2L = 1920 -1280 = 640
=> P = L = 320
Therefore C.P = S.P(p) - P = S.P(l) + L = 1600

new selling price for 25% profit will be
S.P = ((100 + P) / 100) * C.P = ((100 + 25) / 100) * 1600
= 125/100 * 1600
= 2000

CP = (1920 + 1280)/2.
= 1600.

SP = (CP+profit).
= [1600 + {1600*(25/100)}],
= 1600 + 400,
= 2000.

According to me, the solution is;
1920 - 1280 = 640,
Gain% = loss%,
So, 320=320,
320 + 320 = 640,
CP = 1920 - 320 = 1600,
SP = (1600 * 25/100 + 1600) = 2000.

Easy explanation:

Let C.P=x,
Profit=s.p-c.p
=1920-x
Loss=c.p-s.p
=X-1280.

Then,
Profit%=profit/c.p*100
=((1920-x)/x)*100
Loss%=loss/c.p*100
=((x-1280)/x)*100
Profit%=loss%.

By equating the two,
((1920-x)/x)*100=((x-1280)/x)*100
1920-x=x-1280
2x=3200
x=1600.

Therefore, C.P=1600.
Now,the formula,
S.P=((100+profit%)/100)*C.P.
In que ,profit%=25%.
S.P=((100+25)/100)*1600.
=(125/100)*1600
= 2000.
I hope you all understand.

Explain this question properly.

@All

We can also solve this method:

SP1= 1920 , SP2=1280.
let profit % = loss% = x.

CP1= 100*1920 /(100+x).
CP2= 100*1280 /(100-x).

CP1=CP2
100*1920 /(100+x) = 100*1280 /(100-x)
x=20 = profit% = loss%.

CP= 100*1920 /(100+20) [on putting the value of x].
CP=1600.

New SP= (100+25)*1600 / 100,
New SP=1600.