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 %
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
1 answer