In what ratio wheat costing Rs. 17/ kg should be mixed with another wheat costing Rs. 12/kg to get a mixture costing Rs. 13.5/ kg?

In what ratio wheat costing Rs. 17/ kg should be mixed with another wheat costing Rs. 12/kg to get a mixture costing Rs. 13.5/ kg? Correct Answer 3 : 7

Applying Alligation formula,

(Quantity of higher Price/ Quantity of Lesser Price) = (Average Price – Lesser Price)/(Higher Price – Average Price)

⇒ (13.5 – 12)/(17 – 13.5) = 1.5/3.5 = 15/35 = 3/7

∴ Required Ratio = 3 : 7

Related Questions

Jar A comprises a mixture of milk and water in the ratio of 3 : 2 respectively. Another mixture of milk and water is added to jar A and the ratio of milk and water in the resultant mixture changes. What was the initial quantity of mixture present in Jar A? I. The ratio of milk and water in the mixture that was added to Jar A was 2 : 1 respectively. II. The ratio of the new quantities of milk and water in Jar A was 8 : 5 respectively. The quantity of water in the mixture added to jar A was 6 litre.