1.

A shopkeeper sells a table at 8% profit and a chair at 10% discount, thereby getting Rs 1008. If he had sold the table at 10% profit and chair at 8% discount, he would have got Rs. 20 more. Find the cost price of the table and the list price of the chair.

Answer» CP of chair -x
CP of table=y
Case I
SP of table=`y+(8y)/100=108/100y`
CP of chair=`x-10/100x=9/10x`
According to question
`108/100y+9/10x=1008`
`108y+90x=100800`
`6y+5x=5600-(1)`
Case II
SP of chair=`y+10/100y=11/10y`
SP of table=`x-8/100x=92/100x`
According to question
`11/10y+92/100x=1028`
`110y+92x=102800-(2)`
solving equation 1 and2
x=400
y=600
Cost of chair=400Rs
Cost of table=600Rs.


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