The cost prices of a table and a chair are ₹400 and ₹1,200, respectively. The table and the chair are sold at profits of 50% and 20%, respectively. What is the overall profit percentage gained from the two sales taken together?

27.5%

The cost prices of a table and a chair are400 and 1,200 respectively.

Sum of the cost price of a table and a chair = 400 + 1,200 =1,600   

The table and the chair are sold at profits of 50% and 20% respectively.

Selling price of table = 400 of (100+50)%

= 400 of 150%

= 600

Selling price of chair = 1200 of (100+20)%

= 1200 of 120%

= 1440

Sum of the selling price of a table and a chair =600 + 1440 = 2040

Overall profit% = ( 2040 - 1600) × \(\frac{100}{1600}\)  = 27.5%