In what ratio must a person mix three kinds of rice

Solution

Mix rice of first and third kind to get a mixture worth Rs 1.37 per Kg. C.P of 1 Kg rice of 1st kind 116p C.P of 1 Kg rice of 3rd kind 172p Mean Price 137p 1st kind             3rd kind 116                      172              137 35                        21 5             :            3  By Alligation rule: Quantity of 1st kind of rice/ Quantity of 3rd kind of rice = 5/3 So they must be mixed in the ratio 5:3 Mix rice of 1st kind and 2nd kind to obtain a mixture worth of Rs. 1.37per Kg 1st kind                     2nd kind    116                             140                 137 3                 :                 21 1                 :                  7   By alligation rule: Quantity of 1st kind of rice/Quantity of 2nd kind of rice = 1/7 So they must be mixed in the ratio 1:7 Thus, Quantity of 2nd kind of rice /Quantity of 3rd kind of rice = (Quantity of 1st kind of rice / Quantity of 3rd kind of rice) × (Quantity of 2nd kind of rice / Quantity of 1st kind of rice) ⇒ Quantity of 2nd kind of rice/ Quantity of 3rd kind of rice = (5/3 × 7/1) = 35:3  Thus, Quantities of wheat of 1st : 2nd : 3rd = 5:35:3