Two 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.

Question

Accepted Answer

Let the price of the third variety be x ₹/kg.

The quantities mixed are in the ratio 1 : 1 : 2.

Total quantity = 1 + 1 + 2 = 4 units.

Total cost of mixture = (1 × 250) + (1 × 300) + (2 × x) = 250 + 300 + 2x = 550 + 2x

Average price per kg = (Total cost) / (Total quantity) = (550 + 2x) / 4

Given average price = ₹350/kg

So, (550 + 2x) / 4 = 350

Multiply both sides by 4:
550 + 2x = 1400

2x = 1400 - 550 = 850

x = 850 / 2 = 425

But the options do not have 425 as the correct answer. Let's re-check calculations.

Re-calculation:
(550 + 2x)/4 = 350
=> 550 + 2x = 1400
=> 2x = 850
=> x = 425

The correct price is ₹425/kg.

Hence, option 3 is correct.

Answer

Answer

Answer