17. How many
Kg s of wheat costing him Rs 1.20,Rs 1.44 and Rs 1.74 per Kg so that the
mixture may be worth Rs 1.41 per Kg?
Solution:
Step1:Mix
wheat of first and third kind to get a mixture
worth
Rs 1.41 per Kg.
C.P
of 1 Kg wheat of 1st kind 120p C.P of 1 Kg wheat of
3rd
kind 174p
Mean Price 141p
33 21
They
must be mixed in the ratio =33:21 = 11:7
Step2:Mix
wheats of 1st and 2n d kind to obtain a mixture
worth
of 1.41.per Kg.
C.P
of 1 Kg wheat of 1st kind 120p C.P of 1 Kg wheat of 2n d
kind
144p
Mean Price 141p
3 21
They
must be mixed in the ratio = 3:21=1:7.
Thus,Quantity
of 2n d kind of wheat / Quantity of
3rd
kind of wheat = 7/1*11/7= 11/1
Quantities
of wheat of 1st :2n d:3rd = 11:77:7.
