Question

A tea producer mixes two categories of tea from two gardens in the ratio 5:3. The cost price of one category is Rs 27 per Kg and that of other is Rs. 30 per Kg. The mixture is sold at Rs 30.25 a Kg. Find his gain percent.

• A. $8\frac{5}{3}$
  
• B. $7\frac{5}{9}$
  
• C. $9\frac{5}{9}$
  
• D. $11\frac{5}{9}$
• E. None of these

Answer 1

The correct option is B $7\frac{5}{9}$


Given ratio = 5:3
If the tea producer mixed 5x Kg of the category of tea to that of 3x Kg of the second category of tea.
C.P. of category I tea =Rs 27 per Kg
C.P. of 5x Kg tea =$5x\times 27=Rs135x$
C.P. of category II tea =Rs 30 per Kg
$\therefore$ C.P. of 3x Kg tea $=3x\times 30$ =Rs 90x
Total mixture =5x+3x=8x Kg
Total cost price =135x+90x=Rs 225x
Selling price of 1 Kg of mixture =Rs 30.25
Total S.P $=8x\times 30.25=Rs242x$
Gain =Rs (242x -225x)=Rs 17x
Gain % $=\frac{17x}{225x}\times 100=\frac{68}{9}=7\frac{5}{9}$%