Question

Priya sold a chair and table together for 1250 thereby a profit of 25% on the chair and 10% on the table .by selling them together for 1535 he could have made a profit of 10% on the chair and 25% on the table. Find the cost price of each

Answer 1

let the cost price of table be y and the of cost price chair be x

Case first.Selling price of chair=gain+ cost price

gain,of chair=25percent of x=25/100 ×x=x/4

selling price of chair=x+x/4=5x/4

selling price of table=gain +cost price of chair

gain=10percent of y

=10/100 ×y

selling price=y/10 +y=11y/10

now according to question

sum of selling price of both (chair +table)=1250

5x/4 +11y/10=1250

=>25x+22y=25000....i)

Case second..

selling price of chair=gain +cost price

gain=10/100 ×x=x/10

selling price of chair=x+x/10=11x/10

selling price of table=gain+cost price

gain=25/100×y

selling price =y/4 +y=5y/4

11x/10 +5y/4=1535

22x+25y=30700....ii)

multiply second i) eqaution by 25 and second by 22

625x+550y=625000.....iii)

484x+550y=675400......iv)

141x=50400

x=Rs357.44

put this value in ii)

25y=30700-22×357.44

25y=30700-7863.68

y=913.5

hence

cost price of table is Rs,913.5 and that of chair is 357.44