Question

Satish sells a washing machine for Rs. 8,900 and makes a profit of 20%. He sells another washing machine at a loss of 15%. If on the whole, he neither gains nor loses, find the cost price of the second washing machine.

Answer 1

For the first washing machine :
S.P. = Rs.8900 and profit = 20%
∴ C.P. = `(100/(100 + "Profit"%)) xx "S.P."`

∴ C.P. = `(100/(100 + 20)) xx 8900`

∴ C.P. = `(100)/(120) xx 8900`

∴ C.P. = `(89000)/(12)`

∴ C.P. = Rs.`(22250)/(3)`
Since in the whole transaction, there is no profit and no loss,
∴ Loss on the second washing machine
= Profit on the first  washing machine 
= 20% of `(22250)/(3)`

= `(1)/(5) xx (22250)/(3)`

= Rs.`(4450)/(3)`
For the second washing machine :
Loss = 15% and Loss = Rs.`(4450)/(3)`, so we have to find the C.P.
C.P. of the second washing machine
= Rs.`(4450)/(3) xx (100)/(15)`
= Rs.9888.87
Hence, C.P. of the second washing machine is Rs.9888.87 approximately.