Question

Malik sells two tables for rs.3000 each. He gains 20% on one table and on the other he loses 20%. Find his gain or loss percent on whole transaction..

Answer 1

First method :- use formula , % loss/profit = x + y + xy/100
for loss use negative sign and profit use positive sign
Here 20% profit , x = +20 and 20% loss = -20
Now, % loss/profit = 20 - 20 + (20)(-20)/100 = -400/100 = -4%
Here negative sign shows Malik loss 4%

Let seeling price of each table is 3000 Rs
Cost price , when he gains 20% = 3000/120 × 100 = 2500
Cost price , when he lost 20% = 3000/80 × 100 = 3750
Total cost price = 2500 + 3750 = 6250
Total loss = 6250 - 2 × 3000 = 250 Rs
Hence , loss % = 250/6250 × 100 = 4 %

Answer 2

Answer:

Loss = 4%

Step-by-step explanation:

Selling Price of each table = 3000

Gain on Table1 = 20%, Loss on Table2 = 20%

For Table1

SP = CP+20% of CP = (120/100)×CP

CP = 3000×(100/120) = 2500

 

For Table2

SP = CP−20% of CP = (80/100)×CP

CP = 3000×(100/80) = 3750

Total CP = 2500+3750 = 6250

Total SP = 2×3600 = 6000

Profit or Loss = SP−CP = 6000−6250 = −250... (Negative means Loss)

Percent loss = (Loss/CP)×100 = (250/6250)×100 = 4