In what proportion must tea worth ₹27 and ₹31 per kg be mixed so as to gain 25% by selling the mixture at ₹36 per kg?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 11:9.
Selling price (SP) = ₹36/kg
Gain percentage = 25%
Cost price (CP) = [100/(100 + Gain%)] × SP
= [100/(100 + 25)] × 36
= (100/125) × 36
= ₹28.8/kg
Using the allegation rule:
Required ratio = (31 - 28.8) : (28.8 - 27) = 2.2 : 1.8 = 11 : 9
Therefore, the tea must be mixed in the proportion of 11 : 9.