There are two vessels A and B. Vessel A conta | vedclass

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

Question

(B) Initially:Milk in Vessel $A = 40$ litresWater in Vessel $B = 22$ litresAfter the first operation (transferring $8$ litres of milk from $A$ to $B$)

Vedclass · Accepted Answer

$21:11$

Vedclass · Answer

(B) Initially:Milk in Vessel $A = 40$ litresWater in Vessel $B = 22$ litresAfter the first operation (transferring $8$ litres of milk from $A$ to $B$):Milk in Vessel $A = 40 - 8 = 32$ litresMilk in Vessel $B = 8$ litresWater in Vessel $B = 22$ litresTotal mixture in Vessel $B = 8 + 22 = 30$ litresAfter the second operation (transferring $6$ litres of mixture from $B$ to $A$):The fraction of mixture taken out is $\frac{6}{30} = \frac{1}{5}$.Amount of milk taken out from $B = \frac{1}{5} 	imes 8 = \frac{8}{5}$ litres.Amount of water taken out from $B = \frac{1}{5} 	imes 22 = \frac{22}{5}$ litres.Final quantity of milk in Vessel $A = 32 + \frac{8}{5} = \frac{160 + 8}{5} = \frac{168}{5}$ litres.Final quantity of water in Vessel $B = 22 - \frac{22}{5} = \frac{110 - 22}{5} = \frac{88}{5}$ litres.Required ratio = $\frac{168}{5} : \frac{88}{5} = 168 : 88 = 21 : 11$.

Similar Questions

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

There are two containers of equal capacity. The ratio of milk to water in the first container is $3:1$,and in the second container is $5:2$. If they are mixed together,then the ratio of milk to water in the mixture will be:

$A$ man buys $2$ cows for $Rs. 2700$ and sells one at a loss of $6\%$ and the other at a gain of $7.5\%$. On the whole,he neither gained nor lost. What is the cost price of the $2^{nd}$ cow?

The ratio of alcohol and water in $40$ $litres$ of mixture is $5:3$. Then $8$ $litres$ of the mixture is removed and replaced with water. Now,the ratio of the alcohol and water in the resultant mixture is

$A$ shopkeeper bought $15 \text{ kg}$ of rice at the rate of $Rs. 29$ per $\text{kg}$ and $25 \text{ kg}$ of rice at the rate of $Rs. 20$ per $\text{kg}$. He sold the mixture of both types of rice at the rate of $Rs. 27$ per $\text{kg}$. His profit in this transaction is (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module