(A) Let the fraction of zinc in the first alloy be $\frac{1}{1+2} = \frac{1}{3}.$Let the fraction of zinc in the second alloy be $\frac{2}{2+3} = \fra

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(A) Let the fraction of zinc in the first alloy be $\frac{1}{1+2} = \frac{1}{3}.$Let the fraction of zinc in the second alloy be $\frac{2}{2+3} = \frac{2}{5}.$Let the fraction of zinc in the final alloy be $\frac{5}{5+8} = \frac{5}{13}.$Using the rule of alligation:Ratio of alloys = $\left| \frac{2}{5} - \frac{5}{13} \right| : \left| \frac{5}{13} - \frac{1}{3} \right|$$= \left| \frac{26-25}{65} \right| : \left| \frac{15-13}{39} \right|$$= \frac{1}{65} : \frac{2}{39}$$= \frac{1}{5 \times 13} : \frac{2}{3 \times 13}$$= \frac{1}{5} : \frac{2}{3} = 3 : 10.$

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

Difficult

In the first alloy,zinc and copper are in the ratio $1:2.$ In the second alloy,the same elements are in the ratio $2:3.$ If these two alloys are mixed to form a new alloy in which the two elements are in the ratio $5:8,$ the ratio of these two alloys in the new alloy is

A
$3:10$
B
$3:7$
C
$10:3$
D
$7:3$

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Mixture and Alligation

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Mixture and Alligation

Three glasses of capacity $2 \, L$,$5 \, L$,and $9 \, L$ contain mixtures of milk and water with milk concentrations of $90 \%$,$80 \%$,and $70 \%$ respectively. The contents of the three glasses are emptied into a large vessel. Find the ratio of milk to water in the resultant mixture.

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Rama mixes $20 \%$ of kerosene to his petrol and then he sells the whole mixture at the price of petrol. If the cost price of the kerosene is $40 \%$ of the $CP$ of petrol,what is the net profit percentage (in $\%$)?

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Pencils at $Rs. 4.20$ per dozen are mixed with pencils at $Rs. 5.40$ per dozen in the ratio $3:5$. Find the price per dozen of the mixture (in $Rs.$).

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$8$ litres of water is added to $32$ litres of a solution containing $20 \%$ of alcohol in water. What is the approximate concentration of alcohol in the solution now? (in $\%$)

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$A$ container contained $80$ $litre$ of milk. From this container $8$ $litre$ of milk was taken out and replaced by water. This process was further repeated $3$ times. How much milk is now contained in the container? (in $litre$)

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In the first alloy,zinc and copper are in the ratio $1:2.$ In the second alloy,the same elements are in the ratio $2:3.$ If these two alloys are mixed to form a new alloy in which the two elements are in the ratio $5:8,$ the ratio of these two alloys in the new alloy is

Similar Questions

Three glasses of capacity $2 \, L$,$5 \, L$,and $9 \, L$ contain mixtures of milk and water with milk concentrations of $90 \%$,$80 \%$,and $70 \%$ respectively. The contents of the three glasses are emptied into a large vessel. Find the ratio of milk to water in the resultant mixture.

Rama mixes $20 \%$ of kerosene to his petrol and then he sells the whole mixture at the price of petrol. If the cost price of the kerosene is $40 \%$ of the $CP$ of petrol,what is the net profit percentage (in $\%$)?

Pencils at $Rs. 4.20$ per dozen are mixed with pencils at $Rs. 5.40$ per dozen in the ratio $3:5$. Find the price per dozen of the mixture (in $Rs.$).

$8$ litres of water is added to $32$ litres of a solution containing $20 \%$ of alcohol in water. What is the approximate concentration of alcohol in the solution now? (in $\%$)

$A$ container contained $80$ $litre$ of milk. From this container $8$ $litre$ of milk was taken out and replaced by water. This process was further repeated $3$ times. How much milk is now contained in the container? (in $litre$)

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