Question

A man sold a chair and a table for Rs. 760, thereby making a profit of 25% on the chair and 10% on the table. By selling them for Rs. 767.50, he would have realised a profit of 10% on the chair and 25% on the table. The cost of the chair and the table will be respectively _______________.

• A. Rs. 300 and Rs. 350
• B. Rs. 325 and Rs. 375
• C. Rs. 360 and Rs. 340
• D. Rs. 325 and Rs. 350

Answer 1

The correct option is A Rs. 300 and Rs. 350

Let the CP of chair and table be x and y respectively.

Given, Rs 760 = 110 % X y + 125 % X x = 1.1 y + 1.25 x

Rs 767.5 = 110 % X x + 125 % X y = 1.1 x + 1.25 y

By solving given equations

We get, x = 300 & y = 350

So the cost of chair and table is Rs 300 and Rs 350 respectively.

$\therefore$ option A is the correct answer.