Question

a man sells two tables at the same price. On one he makes profit of 10% and on other he suffers a loss of 10 %.Find his loss or gain percent on the whole transaction

Answer 1

Profit of 10% = 100% + 10% = 110%

Loss of 10% = 100% - 10% = 90%


Let selling price of each table be x

Total selling price = 2 x

Total cost price = 100 x /110 + 100 x / 90 =

9 * 100 x / ( 11 * 90 ) + 100 * 11 x / ( 90 * 11 ) =

900 x / 990 + 1100 x / 990 =

2000 x / 990 =

10 * 200 x / ( 10 * 99 ) =

= 200 x / 99


Loss = 200 x / 99 - 2 x =

200 x / 99 - 2 * 99 x / 99 =

200 x / 99 - 198 x / 99 =

2 x / 99


Loss percentage = [ ( 2 x / 99 ) / 200 x / 99 ] * 100% = ( 2 x / 200 x ) * 100% = 0.01 * 100% = 1%


OR

Profit * loss = 1.1 * 0.9 = 0.99 = 99 / 100 = 99%

100% - 99% = 1 %