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 both taken together?

The cost prices of a table and a chair are ₹400 and ₹1,200 respectively.

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

= ₹1,600    Eq.(i)

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%

= $$400\times\frac{150}{100}$$

= ₹600

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

= 1200 of 120%

= $$1200\times\frac{120}{100}$$

= ₹1440

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

= ₹2040    Eq.(ii)

Overall profit percentage gained from both taken together = $$\frac{\left(Eq.(ii)-Eq.(i)\right)}{Eq.(i)}\times100$$

= $$\frac{\left(2040-1600\right)}{1600}\times100$$

= $$\frac{440}{1600}\times100$$

= $$\frac{55}{2}$$

= 27.5%