Ram prepares solutions of alcohol in water according to customers’ needs. This morning Ram has prepared 27 lit

Question

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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Accepted Answer

9. Let Ram replaces x x x litres of 12 % sol. with 39 % solution Now, quality of 12 % solution in 27 litre = 12 100 × 27 \frac{12}{100} 	imes 27 100 12 ​ × 27 => After replacing we have volume of 12 % solution = ( 12 100 × 27 ) − ( 12 x 100 ) + ( 39 x 100 ) (\frac{12}{100} 	imes 27) - (\frac{12 x}