A merchant mixes 60 kg of coffee at ₹90 /kg with a dearer variety at ₹120 /kg. He sells the blend at ₹110 /kg and gains 10 % profit. How many kg of the dearer variety did he add?
Show answer & explanation
Correct answer: A
Explanation
60 kg coffee = ₹90 per kg
x kg expensive coffee = ₹120 per kg
Cost price of the mixture per kg = 110 ÷ 1.10 = ₹100
Difference between ₹120 and ₹100 = 20
Difference between ₹90 and ₹100 = 10
Cheaper : Expensive
= 20 : 10
= 2 : 1
60 : x = 2 : 1
x = 30
Quantity of the expensive variety = 30 kg