In two alloys,gold and silver are in the rati | vedclass

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

Question

(D) In the first alloy of $10 	ext{ kg}$ with ratio $4:1$,the amount of gold is $\frac{4}{5} 	imes 10 = 8 	ext{ kg}$ and silver is $\frac{1}{5} 	i

Vedclass · Accepted Answer

$35$

Vedclass · Answer

(D) In the first alloy of $10 	ext{ kg}$ with ratio $4:1$,the amount of gold is $\frac{4}{5} 	imes 10 = 8 	ext{ kg}$ and silver is $\frac{1}{5} 	imes 10 = 2 	ext{ kg}$.In the second alloy of $16 	ext{ kg}$ with ratio $1:3$,the amount of gold is $\frac{1}{4} 	imes 16 = 4 	ext{ kg}$ and silver is $\frac{3}{4} 	imes 16 = 12 	ext{ kg}$.Let the amount of pure gold added be $x 	ext{ kg}$.Total gold in the new alloy $= 8 + 4 + x = 12 + x 	ext{ kg}$.Total silver in the new alloy $= 2 + 12 = 14 	ext{ kg}$.The ratio of gold to silver in the new alloy is $3:2$,so $\frac{12 + x}{14} = \frac{3}{2}$.$2(12 + x) = 3 	imes 14 \Rightarrow 24 + 2x = 42 \Rightarrow 2x = 18 \Rightarrow x = 9 	ext{ kg}$.The total weight of the new alloy $= 10 + 16 + 9 = 35 	ext{ kg}$.

Similar Questions

$A$ sum of money is to be distributed among $A, B, C, D$ in the proportion of $5: 2: 4: 3$. If $C$ gets $Rs. 1000$ more than $D$,what is $B$'s share (in $Rs.$)?

In a mixture of $60 \, \text{litres}$,the ratio of milk and water is $2:1$. What amount of water (in $\text{litres}$) must be added to make the ratio of milk and water $1:2$?

There are three sections $A, B$ and $C$ in a school of class $I$. The ratio of students in sections $A$ and $B$ is $3:5$ and that in $B$ and $C$ is $4:7$. If the total number of students in the class is $201$,then the number of students in section $A$ is:

$A$ certain sum of money was divided between $A$,$B$,and $C$ in the ratio $5: 6: 9$. If $A$ received ₹ $450$,what was the total sum divided?

The difference between a two-digit number and the number obtained by interchanging the digits is $36$. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is $1:2$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module