Question

By selling a table and chair for rs1896 a trader gains 25%on table and 10% on chair if he sells them for rs 1770 he makes profit of 10%on table and 25% on chair.find the cost price of each?

Answer 1

Answer :

C.P. of 1 table = 1200

C.P. of 1 chair = 360

Explanation :-

Let C.P of the table is x

C.P. of the chair is y.

(125/100)x + (110/100)y = 1896

25x + 22y = 37920 … (i)

(110/100)x + (125/100)y = 1770

22x + 25y = 35400 … (ii)

Adding (i) and (ii) equations we get

47(x + y) = 73320

x + y = 1560 (iii)

Subtracting x = 1200 in equation (iii) to find the value of y

1200 + y = 1560

y = 360.

Hence, C.P. of 1 table = 1200 and C.P. of 1 chair = 360