How many kilograms of tea, costing ₹250 per kg, must be mixed with 25 kg of tea costing ₹400 per kg so that there may be a profit of 10% on selling the mixture at ₹330 per kg?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 50 kg.
Cost price = 330/1.10 = ₹300/kg
Let the quantity of tea, costing ₹250 per kg = x kg
(250x + 400 × 25)/(x + 25) = 300
⇒ 250x + 10000 = 300x + 7500
⇒ 50x = 2500
⇒ x = 50 kg