A shopkeeper mixes 40 kg of rice at ₹55 /kg with another grade at ₹85 /kg. He sells the mixture at ₹70 /kg, making a profit of 16 ⅔ % . How many kg of the dearer rice did he use?
Show answer & explanation
Correct answer: A
Explanation
Selling Price = ₹70/kg
Profit = 16⅔% = 1/6
CP = 70 × (6/7) = ₹60/kg
Expensive rice = x kg
(40 × 55 + 85x) / (40 + x) = 60
2200 + 85x = 2400 + 60x
25x = 200
x = 8
Quantity of expensive rice = 8 kg