In what ratio should the Assam tea at Rs.40 per kg and Darjeeling tea at Rs.65 per kg be mixed and sold at Rs.60 per kg to make in overall profit of 25%?

The correct answer is option 4. Given: The Assam tea at Rs.40 per kg and Darjeeling tea at Rs.65 per kg be mixed, And sold at Rs.60 per kg to make in overall profit of 25%. Concept used: \(CP = \dfrac{100 \times SP}{100 + Profit}\) Calculation: The cost price of the mixture = \(\dfrac{100 \times 60}{125}\) = 48 So, the cost price of the mixture = Rs. 48 Let assume the proportion of Assam tea and Darjeeling tea in the mixture is X and Y. ⇒ \(\dfrac{ 40 \times X + 65 \times Y}{X + Y} = 48\) ⇒ 40X + 65Y = 48X + 48Y ⇒ 17Y = 8X ⇒ \(\dfrac{X}{Y} = \dfrac{17}{8}\) Alternate Method The cost price of the mixture = \(\dfrac{100 \times 60}{125}\) = 48 So, the cost price of the mixture = Rs. 48 So, the ratio of Assam tea to Darjeeling tea should be 17 : 8.