Two vessels contain milk and water in the rat | vedclass

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

Question

(B) In the first vessel,the fraction of milk is $\frac{3}{5}$.In the second vessel,the fraction of milk is $\frac{7}{10}$.In the final mixture,the fra

Vedclass · Accepted Answer

$1:2$

Vedclass · Answer

(B) In the first vessel,the fraction of milk is $\frac{3}{5}$.In the second vessel,the fraction of milk is $\frac{7}{10}$.In the final mixture,the fraction of milk is $\frac{2}{3}$.Using the rule of alligation:Difference $1$ (between second vessel and mixture) $= \frac{7}{10} - \frac{2}{3} = \frac{21-20}{30} = \frac{1}{30}$.Difference $2$ (between mixture and first vessel) $= \frac{2}{3} - \frac{3}{5} = \frac{10-9}{15} = \frac{1}{15}$.The required ratio is the ratio of these differences: $\frac{1}{30} : \frac{1}{15}$.Multiplying both sides by $30$,we get $1 : 2$.

Two vessels contain milk and water in the ratio $3:2$ and $7:3$. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is $2:1$.

Similar Questions

$A$ mixture contains $80 \%$ acid and the rest water. What part of the mixture should be removed and replaced by the same amount of water to make the ratio of acid to water $4:3$?

In $50\, g$ alloy of gold and silver,the gold is $80\%$ by weight. How much gold should be mixed to this alloy,so that the weight of gold would become $95\%$? (in $g$)

In what proportion must pulses of $Rs. 70$ per $kg$ be mixed with pulses of $Rs. 45$ per $kg$ to get a mixture of $Rs. 60$ per $kg$?

In what ratio should coffee powder costing ₹ $2500$ per $kg$ be mixed with coffee powder costing ₹ $1500$ per $kg$ so that the cost of the mixture is ₹ $2250$ per $kg$?

Mira's expenditure and savings are in the ratio $3: 2$. Her income increases by $10 \%$. Her expenditure also increases by $12 \%$. By how many $\%$ does her saving increase?

Vedclass Test Series

Exam Paper Generator

Online Exam Module