A can contains a mixture of two liquids A and | vedclass

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

Question

(C) Let the initial quantity of liquid $A$ be $7x$ and liquid $B$ be $5x$ litres.Total initial quantity $= 7x + 5x = 12x$ litres.When $9$ litres of mi

Vedclass · Accepted Answer

$21$

Vedclass · Answer

(C) Let the initial quantity of liquid $A$ be $7x$ and liquid $B$ be $5x$ litres.Total initial quantity $= 7x + 5x = 12x$ litres.When $9$ litres of mixture are drawn off,the amount of $A$ removed is $\frac{7}{12} 	imes 9 = \frac{21}{4}$ litres,and the amount of $B$ removed is $\frac{5}{12} 	imes 9 = \frac{15}{4}$ litres.Remaining quantity of $A = 7x - \frac{21}{4}$ litres.Remaining quantity of $B = 5x - \frac{15}{4}$ litres.After adding $9$ litres of liquid $B$,the new quantity of $B = 5x - \frac{15}{4} + 9 = 5x + \frac{21}{4}$ litres.The new ratio is $7:9$,so:$\frac{7x - 21/4}{5x + 21/4} = \frac{7}{9}$$9(7x - 5.25) = 7(5x + 5.25)$$63x - 47.25 = 35x + 36.75$$28x = 84$$x = 3$Initial quantity of $A = 7x = 7 	imes 3 = 21$ litres.

$A$ can contains a mixture of two liquids $A$ and $B$ in the ratio $7:5$. When $9$ litres of mixture are drawn off and the can is filled with the same amount of liquid $B$,the ratio of $A$ and $B$ becomes $7:9$. How many litres of liquid $A$ was contained by the can initially?

Similar Questions

Gold is $21$ times as heavy as water and copper is $11$ times as heavy as water. In what ratio should these metals be mixed so that the mixture may be $17$ times as heavy as water?

In a zoo,there are rabbits and pigeons. If the heads are counted,there are $200$ and if legs are counted,there are $580$. How many pigeons are there?

The ratio in which two sugar solutions of the concentrations $15 \%$ and $40 \%$ are to be mixed to get a solution of concentration $30 \%$ is

$A$ 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?

In what ratio must a person mix three kinds of tea costing $Rs. 60$ per $kg$,$Rs. 75$ per $kg$,and $Rs. 100$ per $kg$ so that the resultant mixture when sold at $Rs. 96$ per $kg$ yields a profit of $20\%$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module