Question

When a watch is sold at ksh 126 aloss of x percent is made . If the same ksh 126, a loss of x percent is made . If the same watch is sold at ksh 154 , a profit of x percent is realize , find the buying price find similar question

Answer 1

Answer:

ksh 140

Step-by-step explanation:

When a watch is sold for ksh 126 a loss of x% is made, that is( 100 - x)%

Hence, the loss amount = (126 X 100)/(100 - x)

When the same watch is sold for ksh 154 a profit of x% is made, that is (100 + x)%

Hence, the profit amout = (154 X 100)/(100 + x)

Therefore, (126 X 100)/(100 - x) = (154 X 100)/(100 + x)

12600(100 + x) = 15400(100 - x)

1260000 + 12600x = 1540000 - 15400x

28000x = 280000

x = 10%

In that case for a watch sold for ksh 126 a loss 10% is made, that is( 100 - 10)%

Hence, loss amount = (126 X 100)/90 = ksh 140

∴ the buying price is ksh 140