1. Ram prepares solutions of alcohol in water according to customers’ needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?
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By: anil on 05 May 2019 02.37 am
Let Ram replaces $$x$$ litres of 12 % sol. with 39 % solution Now, quality of 12 % solution in 27 litre = $$frac{12}{100} imes 27$$ => After replacing we have volume of 12 % solution = $$(frac{12}{100} imes 27) - (frac{12 x}{100}) + (frac{39 x}{100})$$ = $$frac{324 + 27 x}{100}$$ This is equal to 27 litre of 21 % solution. => $$frac{324 + 27 x}{100} = frac{21}{100} imes 27$$ => $$27x = 567 - 324 = 243$$ => $$x = frac{243}{27} = 9$$
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