A man bought a chair and a table. If he sold the chair at 10 % loss and the table at 7.5 % gain, he would not lose anything; but if he sold the table at 5% loss and the chair at 5% gain, he would lose Rs. 15 in the bargain. The total cost price of a chair and a table is
Let CP of a chair=C and a table=T
0.9C + 1.075T = T+C ⇒ 3T - 4C = 0 ---(i)
0.95T + 1.05C = T+C-15 ⇒ T - C = 300 ---(ii)
Solving eqn. (i) & (ii), we get T=1200, C=900
CP of a table and a chair = 1200+900 = 2100 Rs.
Correct Option 4)