Question

a bicycle was sold at a profit of 12% . had it been sold for rs 16 more the profit would have been 20% find the sp of bicycle

Answer 1

let the cp be rs.x

when profit is 12% :

sp= (12/100)*x+x
= (6/50)*x+x
= (6x+50x)/50 = 56x/50 = 28x/25

when profit is 20% :

sp= (20/100)*x+x
= (x/5)+x
= x+5x/5 = 6x/5

according to question:

6x/5 - 28x/25
= 30x - 28x/25
=2x/25

which is equal to 16
then,
2x/25=16
=> x= 16*25/2
=> x = 200

now, cp= rs.200

then sp when profit is 12%
= (12/100)*200+200= rs.224

sp when profit is 20 %
=(20/100)*200+200
= rs. 240

hope this helps :)