A merchant mixes three varieties of rice costing Rs.40/kg, Rs.48/kg and Rs.60/kg and sells the mixture at a profit of 40% at Rs.60 / kg. How many kgs of the second variety will be in the mixture if 4 kgs of the third variety is there in the mixture? a) 1 kg b) 20 kgs c) 3 kgs d) 6 kgs e) 8kgs

1 Answer

Answer :

D

If the selling price of mixture is Rs.60/kg and the merchant makes a profit of 20%, then the cost price of the

mixture = 60/1.2 = Rs.50/kg.

We need to find out the ratio in which the three varieties are mixed to obtain a mixture costing Rs.50 /kg.

Let variety A cost Rs.40/kg, variety B cost Rs.48 / kg and variety C cost Rs.60/kg. The mean desired price

falls between B and C.

Step 1: Find out the ratio A : C

Using allegation rule

image
Step 2: QC is found by adding the value of QC in step 1 and step 2 = 1 + 5 = 6
Therefore, the ratio = 1 : 25 : 5

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