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A sample of milk contains 5% water. What quantity of pure
milk should be added to 10 litres of milk to reduce the
water content to 2%?
(a) 5 litres
(b) 7 litres
(c) 15 litres
(d) 12 litres
(e) None of these
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Answer Posted / nazeera jaffar
Initially 5% is the portion of the water in the mixture,95% is the portion of the milk in the mixture. So quantity of water(in litres) in the 10 L=0.05*10L=>0.5L. And also quantity of milk in 10 L mixture=0.95*10L=9.5L. Let X be the quantity of pure milk to be added to the mixture to make water content to 2%. Therefore, 0.5/(9.5+X)=0.2/9.8 9.8*0.5=0.2(9.5+X) 4.9=1.9+0.2X 0.2X=3.0 x=15 So 15 Liters of pure milk should be added to the mixture to reduce the water content to 2%
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