How much sugar at Tk. 95 a kg should be added to 17 kg of tea at Tk. 200 a kg so that the mixture be worth Tk. 130 a kg.?

Question: How much sugar at Tk. 95 a kg should be added to 17 kg of tea at Tk. 200 a kg so that the mixture be worth Tk. 130 a kg.?

Solution:
Ratio in which tea and sugar should be mixed
= 200 - 130 : 130 - 95 = 70 : 35 = 10 : 5 = 2 : 1
Let x be quantity at 95/kg.

∴ 2 : 1 = x : 17
⇒ 2/1 = x/17
⇒ x = 34
hence x = 34 kg.