(A) Using the method of alligation:Profit on first part = $10 \%$Loss on second part = $-5 \%$Overall gain = $7 \%$Applying alligation:$|(-5) - 7| = 1

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(A) Using the method of alligation:Profit on first part = $10 \%$Loss on second part = $-5 \%$Overall gain = $7 \%$Applying alligation:$|(-5) - 7| = 12$$|10 - 7| = 3$Ratio of quantities sold at $10 \%$ profit and $5 \%$ loss = $12 : 3 = 4 : 1$Total quantity = $50 \ kg$Quantity sold at $10 \%$ profit = $\frac{4}{4+1} \times 50 = \frac{4}{5} \times 50 = 40 \ kg$Quantity sold at $5 \%$ loss = $\frac{1}{4+1} \times 50 = \frac{1}{5} \times 50 = 10 \ kg$Thus,the quantities are $40 \ kg$ and $10 \ kg$.

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

Medium

$A$ trader has $50 \ kg$ of sugar,a part of which he sells at $10 \%$ profit and the rest at $5 \%$ loss. He gains $7 \%$ on the whole. What is the quantity sold at $10 \%$ gain and $5 \%$ loss? (in $kg$)

A
$40, 10$
B
$10, 35$
C
$25, 15$
D
$30, 20$

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Mixture and Alligation

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Mixture and Alligation

$A$ sugar solution of $3$ $litre$ contains $60 \%$ sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is (in $\%$)

Medium

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Pure milk costs $16 / L$. After adding water,the milkman sells the mixture at $15 / L$ and thereby makes a profit of $25 \%$. In what respective ratio does he mix milk with water?

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$A$ mixture contains spirit and water in the ratio $3:2$. If it contains $3 \ L$ more spirit than water,the quantity of spirit in the mixture is......$L$.

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$60\, kg$ of an alloy $A$ is mixed with $100\, kg$ of alloy $B.$ If alloy $A$ has lead and tin in the ratio $3:2$ and alloy $B$ has tin and copper in the ratio $1:4,$ the amount of tin in the new alloy is (in $kg$)

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How much water must be added to a vessel which contains $80$ litres of milk at a cost price of ₹ $3.5/litre$ so that the cost of the milk reduces to ₹ $2/litre$? (in litres)

Medium

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$A$ trader has $50 \ kg$ of sugar,a part of which he sells at $10 \%$ profit and the rest at $5 \%$ loss. He gains $7 \%$ on the whole. What is the quantity sold at $10 \%$ gain and $5 \%$ loss? (in $kg$)

Similar Questions

$A$ sugar solution of $3$ $litre$ contains $60 \%$ sugar. One litre of water is added to this solution. Then the percentage of sugar in the new solution is (in $\%$)

Pure milk costs $16 / L$. After adding water,the milkman sells the mixture at $15 / L$ and thereby makes a profit of $25 \%$. In what respective ratio does he mix milk with water?

$A$ mixture contains spirit and water in the ratio $3:2$. If it contains $3 \ L$ more spirit than water,the quantity of spirit in the mixture is......$L$.

$60\, kg$ of an alloy $A$ is mixed with $100\, kg$ of alloy $B.$ If alloy $A$ has lead and tin in the ratio $3:2$ and alloy $B$ has tin and copper in the ratio $1:4,$ the amount of tin in the new alloy is (in $kg$)

How much water must be added to a vessel which contains $80$ litres of milk at a cost price of ₹ $3.5/litre$ so that the cost of the milk reduces to ₹ $2/litre$? (in litres)

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