A milk man purchased milk from two different villages in the ratio of 4:5 ( village 1: village 2), mixed them and add water such that purity reduced 90. he then sold the rate of Rs78per litre there by making a profit of 30percent now if the price of the milk from village 1 is three- fourth of the village2, which of the following is respective cost price of milk from village 1 and village 2?
Answers
Answer:
Thus the price of milk from Village 1=56.25 Rs/litre
and the price of milk from Village 2 =Rs 75 Rs /litre
Step-by-step explanation:
let the milk purchased from village 1 and 2 is 4x and 5x
total milk after mixing =9x
If y litre water is added then
100*y/(9x+y) =10 %
9x+y=10y
y=x ,Thus x litre water is added
Hence total milk for sale=10x litre
sale rate=Rs 78 / litre
SP =78*10x=780x
Profit is 30%
so 100* (SP-BP)/BP =30 BP = Buying price and SP=sale price
100*SP-100BP=30BP
100SP = 130BP
780*100=130BP
So BP=780*100/130=600x
If price of milk from village 2 =p
then price from village 1=3p/4
Thus total BP=(3p/4)*4x+p*5x=600x
3p*4x+20px=2400x
32px=2400x
p=2400/32=75 Rs / litre
Price of village 1=3*75/4=225/4=56.25 Rs/litre
Thus the price of milk from Village 1=56.25 Rs/litre
and the price of milk from Village 2 =Rs 75 Rs /litre
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