Aptitude - Profit and Loss - Discussion

Please explain more clearly.

(1920+1280)/2 = 1600.
1600*1.25 = 2000.

Why 125 is arrived can anybody explain clearly?

Let C.P be Rs. x.

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

1920-x = x-1280.

2x = 3200.
x = 1600.

Required S.P = 25% of RS.1600 = ((25/100)*1600) = 400.

From 1600 25% profit means,

(1600+400) = 2000.

Answer: Rs. 2000.

Hi @Vipul.

Here before solving you look at question carefully her the C.P is same because the article is same.

Case 1 case 2 S.P = 1280; L% = ?

Let it be x.

S.P = 1920 similarly by loss formula.

P% = ? Let it be x L% = (C.P-S.P)/C.P*100.

By formula P% = (S.P-C.P)/C.P*100.

Case 1 and case 2 equate X we get 2x = 1920+1280 and x = 1600.

And now C.P = 1600 to earn 25% gain calculate S.P.

No need to worry, first understand the question carefully,given only selling prices,not given cost prices,first we find cost price.

From selling price 1280 .
I find out the cost price.see profit is 25%.
C.p = 1600 [10% of 1280 = 128,
5%=64, 10% + 10% + 10% = 25%,
i.e128 + 128 + 64 = 320.

Add 1280 + 320 = 1600(or) 1920 - 320=1600
Now S.p = 1600 * 125/100 = 2000.

[To get 25% out of 1600 is 125 . profit add 100, 100 + 25 = 125, loss subtract from 100, 100 - 25 = 75].

(1920+1280) /2 = 1600.

= 1600*1.25 = 2000.

x is current.

Sp 1 = 1920.
Sp 2 = 1280.

1920-x = 1280+x profit = selling incurred same article.

1920-1280 = 2x.
640 = 2x.
640/2 = x.
320 = x.

So the percent profit by 1st article = 1920. So the price = 1920-320.

Price = 1600.

25% of 1600 = 1600*25/100 = 400.

The price make sold = 1600+400 = 2000.

Have a nice day!

1920+1280 = 3200.

3200/2 = 1600.

C.P of each item is 1600.

Then,

If 1600-----100%

Then X------125%

X = 1600*125/100.

X = 2000;

1920-1280 = 640/2 = 320+1280 = 1600+25% = 2000.