How many litres of milk worth Rs.12 per litre must be mixed with 60 litres of milk worth Rs.8 per litre so as to gain 20% by selling the mixture at Rs.10.80 per litre?
S.P of 1 litre of mixture = Rs.10.80 and Gain 20%.
Therefore, C.P of 1 litre of mixture = Rs.100/120 x 10.80 = Rs.9 ...(1)
C.P of 1 litre milk of 1st kind = d = Rs.12
C.p of 1 litre milk of 2nd kind = c = Rs.8
Mean Price = m = Rs.9 (from equation 1)
Then d - m = 3 , m - c = 1
Applying above values to our allegations formula (refer introduction before question)
Ratio of quantities of 1st and 2nd kind = 1:3 .Assume x litres of milk of 1st be mixed with 60litres of 2nd kind.
Then, 1 : 3 = x : 60
1/3 = x/60
x = 60/3 = 20.
Thus 20 litres milk of 1st kind to be mixed with 2nd.
Back To Top