Acid and water are mixed in a vessel A in the | vedclass

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

Question

(A) In vessel $A$,the fraction of acid is $\frac{5}{7}$.In vessel $B$,the fraction of acid is $\frac{8}{13}$.The required mixture should have an acid

Vedclass · Accepted Answer

$7:2$

Vedclass · Answer

(A) In vessel $A$,the fraction of acid is $\frac{5}{7}$.In vessel $B$,the fraction of acid is $\frac{8}{13}$.The required mixture should have an acid fraction of $\frac{9}{13+4} = \frac{9}{13}$.Using the rule of alligation:Ratio of quantities = (Difference between acid in $B$ and mean) : (Difference between mean and acid in $A$)Ratio = $|\frac{9}{13} - \frac{8}{13}| : |\frac{5}{7} - \frac{9}{13}|$Ratio = $\frac{1}{13} : |\frac{65-63}{91}| = \frac{1}{13} : \frac{2}{91}$To simplify,multiply both sides by $91$:Ratio = $(\frac{1}{13} 	imes 91) : (\frac{2}{91} 	imes 91) = 7 : 2$.

Acid and water are mixed in a vessel $A$ in the ratio of $5:2$ and in the vessel $B$ in the ratio $8:5$. In what proportion should quantities be taken out from the two vessels so as to form a mixture in which the acid and water will be in the ratio of $9:4$?

Similar Questions

An amount of ₹ $70,000$ was lent at $6 \%$ per annum and the remaining at $4 \%$ per annum. If the total simple interest from both the fractions in $5 \text{ years}$ was ₹ $16,000$,the sum lent at $6 \%$ per annum was (in ₹). (in $,000$)

$A$ person has ₹ $5000$. He invests a part of it at $3 \%$ per annum and the remainder at $8 \%$ per annum simple interest. His total income in $3$ years is ₹ $750$. Find the sum invested at different rates of interest (in ₹).

$A$ and $B$ are two alloys of gold and copper prepared by mixing metals in the ratio $7:2$ and $7:11$ respectively. If equal quantities of the alloys are melted to form a third alloy $C$,the ratio of gold and copper in $C$ will be

$A$ man has $60$ pens. He sells some of these at a profit of $12 \%$ and the rest at $8 \%$ loss. On the whole,he gets a profit of $11 \%$. How many pens were sold at $12 \%$ profit?

$A$ sugar solution of $3$ $litre$ contains $60 \%$ sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module