Aptitude - Profit and Loss - Discussion

@Kavi.

Thank you so much for explaining the answer.

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

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

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

Explain this question properly.

Simple way:

Our motive is to find sp so sp(formula) = 100+profit%/100*cp
But we are not having CP.
So, as this problem dealt with profit %.
So, cp = 100/100 + profit% * sp(sp = 1920 as in question mentioned only profit % so leave loss%)
cp = 100/100 + 25 * 1920 = 1600.
Now sp = 100 + gain%/100*cp
= 100+25/100 * 1600.
= 125 * 16.
= 2000(final 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

Profit=sp-cp=>1920-cp.
Loss=cp-sp=>cp-1280.

Profit percentage = loss percentage(given).
1920-cp = cp-1280,
cp = 1600,
25% of cp = 400.

Therefore, sp=1600 + 400 = 2000.

@All.

Here is my solution:

Solution:

Step 1: 1920 − CP = CP − 1280.
Step 2: 2CP = 3200,
Step 3: CP = 1600,
Step 4: For 25% profit → ratio = 4 : 5,
Step 5: 4 parts = 1600 → 1 part = 400,
Step 6: SP = 5 × 400 = 2000.

Its very simple questions profit incrd when selng it at 1920 is same as los when sel it at 1280 take average of two .i.e .1920+1280/2=1600 is new cost so prf 25%of 1600=400.so add 1600+400=2000

@kumar::

In the first case, by selling d article we get profit.so,the formula for gain=s.p-c.p
here we consider c.p as 'x'(cos its not gvn in quest)
therefore gain=1920-x
gain%=gain*100/(c.p)
so we get, gain%=(1920-x)*100/(x)

In the second case, by selling the product we get loss. so,the formula for loss= c.p-s.p

as we know, c.p=x(assumption)
s.p=1280
loss=x-1280

we need to find loss% here.. the formula is
loss%=loss*100/(c.p)

so we get, loss%=(x-1280)*100/(x)

as both the articles are same products we are equating both.

(1920-x)*100/(x)=(x-1280)*100/(x)
1920 - x = x - 1280

2x = 3200

x = 1600

hope you understood..! happy day!!