Type-1 rice costs Rs. 15/kg and Type-2 costs Rs. 20/kg. If mixed in the ratio 2 : 3, what is the price per kg of the mixture?

Problem restatementFind the weighted average price when Rs. 15/kg and Rs. 20/kg rice are mixed in the ratio 2 : 3.

Given data

• Prices: 15, 20; ratio (Type-1 : Type-2) = 2 : 3.

Concept/ApproachMixture price = (sum of price × quantity) / total quantity.

Step-by-step calculation Mixture price = (2×15 + 3×20) ÷ (2 + 3) = (30 + 60) ÷ 5 = 90 ÷ 5 = 18

Verification/AlternativeAlligation line: difference from 18 is 3 (for 15) and 2 (for 20) ⇒ ratio 2 : 3 matches given, confirming Rs. 18.

Final AnswerRs. 18.00