Question

if a person sells an article rupess 400 gaining 1/4th of its cp.find gain percent.....plzzzzzz help

Answer 1

 S.P = 400 
     Let The C.P = X
 Gain = 1/4*X
we Know that ,
                  Gain = S.P - C.P 
                   1/4*X = 400 - X (Given Gain = 1/4 *X)
                   X/4 = 400 - X
                   X/4 + X = 400
                   (X + 4*X)/4 = 400
                   5X / 4 = 400
                   5X = 4*400
                   5X = 1600
                   X = 1600/5
                   X =320
Hence C.P = 320
         therefore , S.P - C.P = 400 - 320 
                         S.P - C.P = 80
Therefore , 
         Gain % = (S.P - C.P) / C.P *100
                     = 80 /320*100
                     = 25 %

Answer 2

Answer:

Step-by-step explanation:

SP = ₹400

Gain = 1/4

Let CP be x

So, gain = 1/4 × x = 400

x = 400/4

x = 100

Gain = ₹100

Gain % = 100/400 × 100

Gain = 25%

Ans - Gain percent = 25%