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23 Aug 2022 Profit & Loss

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

OPtion

1) Rs. 1200
2) Rs. 4200
3) Rs. 2400
4) Rs. 2100
5) Rs. 1800
6) Rs. 1500
7) Rs. 3000
8) Rs. 2700
9) Rs. 900
10) None of these

Solution

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)

Correct Option: 4 Best Solution (3)