Question
In what ratio must a person mix three kinds of rice
costing him Rs 1.16,Rs 1.40 and Rs 1.72 per Kg so that the mixture may be worth Rs 1.37 per Kg?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
A word is given followed by its usage in options. Find the option in which there is an inappropriate usage of word.
ARCANE
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