2 varieties of tea powders worth ₹250/kg and ₹300/kg are mixed with a third variety of tea powder in the ratio 1 : 1 : 2. If the mixture is worth ₹350/kg, find the price of the third variety tea powder.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. ₹425/kg.
Cost of mixture = Total cost of components/Total parts
⇒ 350 = (1 × 250 + 1 × 300 + 2 × x)/(1 + 1 + 2)
⇒ 350 = (250 + 300 + 2x)/4
⇒ 1400 = 550 + 2x
⇒ 2x = 850
⇒ x = 425
So, the price of the third variety of tea powder is ₹425/kg.