(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

The ratio of milk and water in mixtures of four containers are $5:3$,$2:1$,$3:2$,and $7:4$,respectively. In which container is the quantity of milk,relative to water,the minimum?

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$A$ person 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 and how many at $8 \%$ loss?

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$A$ mixture of $40$ $litres$ of milk and water contains $10 \%$ water. How much water must be added to make $20 \%$ water in the new mixture? (in $Liters$)

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Two types of alloys contain gold and silver in the ratio of $7: 22$ and $21: 37.$ In what ratio should these alloys be mixed,so as to have a new alloy in which gold and silver would exist in the ratio $25: 62?$

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$A$ dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains $25 \%$. The percentage of water in the mixture is: (in $\%$)

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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

The ratio of milk and water in mixtures of four containers are $5:3$,$2:1$,$3:2$,and $7:4$,respectively. In which container is the quantity of milk,relative to water,the minimum?

$A$ person 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 and how many at $8 \%$ loss?

$A$ mixture of $40$ $litres$ of milk and water contains $10 \%$ water. How much water must be added to make $20 \%$ water in the new mixture? (in $Liters$)

Two types of alloys contain gold and silver in the ratio of $7: 22$ and $21: 37.$ In what ratio should these alloys be mixed,so as to have a new alloy in which gold and silver would exist in the ratio $25: 62?$

$A$ dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains $25 \%$. The percentage of water in the mixture is: (in $\%$)

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