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?
no copied answer please give detailed solution
highlight step after X + y = 1560
how X = 1200 ?
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Step-by-step explanation:
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 = 36
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