Two jars contain equal quantities of 40 % alc | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the initial volume of solution in each jar be $100 \ ml$. Thus,the initial amount of alcohol is $40 \ ml$ and water is $60 \ ml$.For the first

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(B) Let the initial volume of solution in each jar be $100 \ ml$. Thus,the initial amount of alcohol is $40 \ ml$ and water is $60 \ ml$.For the first jar (Swati): Let $y \ ml$ of pure alcohol be added. The new concentration is $\frac{40+y}{100+y} = \frac{50}{100} = \frac{1}{2}$.Solving this: $80 + 2y = 100 + y \Rightarrow y = 20 \ ml$.For the second jar (Sonali): Let $x \ ml$ of the solution be replaced by $x \ ml$ of pure alcohol. The amount of alcohol removed is $0.4x$. The new amount of alcohol is $40 - 0.4x + x = 40 + 0.6x$. The total volume remains $100 \ ml$. The new concentration is $\frac{40+0.6x}{100} = \frac{50}{100} = 0.5$.Solving this: $40 + 0.6x = 50 \Rightarrow 0.6x = 10 \Rightarrow x = \frac{10}{0.6} = \frac{100}{6} = \frac{50}{3} \ ml$.The percentage by which Swati's added quantity $(20 \ ml)$ is more than Sonali's replaced quantity $(\frac{50}{3} \ ml)$ is:$\frac{20 - 50/3}{50/3} 	imes 100 = \frac{60/3 - 50/3}{50/3} 	imes 100 = \frac{10/3}{50/3} 	imes 100 = \frac{10}{50} 	imes 100 = 20 \%$.

Similar Questions

$134 \%$ of $3894 + 38.94$ of $134 = ?$

Ram gets $20\%$ marks more than Girish. Girish gets $20\%$ more than Sanjay. Sanjay gets $20\%$ less than Aditya. If Ram got $576$ marks and the total marks were $800$,then what marks did Aditya get?

Of the $1000$ inhabitants of a town,$60 \%$ are males of whom $20 \%$ are literate. If,of all the inhabitants,$25 \%$ are literate,then what per cent of the females of the town are literate (in $.5$)?

The value of a machine depreciates at the rate of $10 \%$ every year. It was purchased $3$ years ago. If its present value is $₹ 8748$,its purchase price was:

In a hotel,$60 \%$ of people had vegetarian lunch,$30 \%$ had non-vegetarian lunch,and $15 \%$ had both types of lunch. If $96$ people were present,how many did not have either type of lunch?

Vedclass Test Series

Exam Paper Generator

Online Exam Module