Question

jamuna sold and table and chair for 1050 rs .thereby making a profit of 10% on the table and 25% on the chair. if she had taken a profit of 25% on the table and 10% on the chair, she would have got 1065 rs .find the cost of each

Answer 1

let price of chair be X and table be y
110y/100 + 125x/100 = 1050
(110y +125x)/100=1050
110y + 125x= 105000
110y = 105000-125x
y=(105000-125x)/110

125y/100+110x/100=1065
(125(105000-125x)/110+110x)/100=1065
(13125000-15625x)/110+110x=106500
(13125000-15625x)=(106500-110x)*110
(13125000-15625x)=11715000-12100x
13125000-11715000=-12100x+15625x
141000=3525x
141000/3525=X
40=x

y=(105000-125*40)/110
y=(105000-5000)/110
y=100000/110
y=909.09