Q 32 A man sold a chair and a table for Rs 2178, thereby making a profit of - Maths - Simultaneous Linear Equations

Question

Q 32 A man sold a chair and a table for Rs 2178, thereby making a
profit of 12 % on the chair and 16 % on the table By selling them
for Rs 2154, he gains 16 % on the chair and 12 % on the table Find
the cost price of each

Neha Sethi · Accepted Answer

Dear student
Let the cost of chair be Rs xand cost of table be Rs  yA
T
Qx+12x100+y+16y100=2178⇒112x+116y100=2178⇒112x+116y=217800  
1and also from question , we getx+16x100+y+12y100=2154⇒116x+112y100=2154⇒116x+112y=215400  
2Multiplying equation 1 with 116 and equation 2 with 112 12992x+13456y=25264800  
312992x+12544y=24124800   
4Now subtracting equation 4 from 3, we get12992x+13456y-12992x-12544y=25264800-24124800912y=1140000y=Rs 1250Now putting value of  y in: 116x+112y=215400116x+1121250=215400116x=75400x=Rs 650
Regards

Q.32. A man sold a chair and a table for Rs. 2178, thereby making a profit of 12 % on the chair and 16 % on the table. By selling them for Rs. 2154, he gains 16 % on the chair and 12 % on the table. Find the cost price of each.