Question

A man sold two pens at rs 12 each.on one he gained 20% and on the other he lost 20%.what was his profit or loss on the whole ?

Answer 1

Given:
S.P of a pen= ₹ 12
Let the CP of one pen = ₹ x

ATQ
On gain of 20%
x +20x/100 = 12
(100x +20x) /100= 12
120x = 12× 100
x= 1200/120= 10
x= ₹ 10

CP of 1 pen =₹ 10

On loss of 20%
x - 20x/100 = 12
(100x - 20x )/100 = 12
80 x/100= 12
80x = 12 × 100
x= 1200/80 = 120/8= 15
x= 15

CP of a pen =₹ 15

Now,
Total CP of pen = 15 +10 = ₹ 25
Total CP of pen =₹ 25

Total SP of pen = 12 ×2 =₹ 24

CP > SP
Loss = CP - SP
Loss = 25 - 24 = ₹1
Loss = ₹1

LOSS % = (loss /CP)× 100
= (1/25) × 100
= 4 %

Loss% = 4%
Hence, the loss on the whole transaction is = 4%

HOPE THIS WILL HELP YOU….

Answer 2

Solution:-

let C.P of two pens = x rs.
and S.P = 12 rs.

●20 % gain :-
》x × 20/100 = 12-x
》x/5 = 12-x
》x= 60 - 5x
》6x = 60
(x = 10 rs)

●2nd case :-

》20% loss :-
》10×20/100 = 10/5 = 2
》10 - 2 = 8

●his lotal loss or grain = 12 -8 = 4 %


■I HOPE ITA HELP■