Q28 of 35 Page 3


By selling a table and a chair for 1896, a trader gains 25% on the tableand 10% on the chair. If he sells them for 1770, he makes a profit of 10%on the table and 25% on the chair. Find the cost price of each.


Let C.P of the table be x and C.P. of the chair be y.
Then,
25x + 22y = 37920 … (i)
⇒
22x + 25y = 35400 … (ii)
Adding (i) and (ii),

We get
47(x + y) = 73320
x + y = 1560 … (iii)
Subtracting x = 1200 in (iii),

We get
1200 + y = 1560
y = 360.
Therefore C.P. of 1 table = 1200
Therefore C.P. of 1 chair = 360.

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