3 varieties of wheat were mixed at a warehouse. The rate of Type 1 wheat was Tk 145 Kg and the rate of Type 2 wheat was Tk. 20 per kg more than Type 1. The quantities of 3 varieties of wheat were in the ratio 2 : 1 : 3 respectively. The mix was finally sold at the rate of Tk. 180 per kg. Find the price of the 3rd type of wheat?

Let the rate of 3^rd type of wheat be Tk. W
Quantity ratio = 2 : 1 : 3
This means if we take 2kg of Type 1 and 1 kg of Type 2, then we must take 3kg of Type 3.
Also, the mix will have 2kg + 1kg + 3kg = 6 kg quantity.
∴ (145 x 2) + (165 x 1) + (3 x W) = 6 x 180
⇒ 290 + 165 + 3W = 1080
⇒ 3W = 1080 - 455
⇒ 3W = 625
⇒ W = 625/3
⇒ W = 208.33

∴ W = Tk. 208.33 per kg = 3^rd type price per kg