(D) Using the method of alligation:Profit part = $10 \%$Loss part = $-5 \%$Mean profit = $7 \%$Applying alligation:$(10 - 7) = 3$ (for the loss part)$

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(D) Using the method of alligation:Profit part = $10 \%$Loss part = $-5 \%$Mean profit = $7 \%$Applying alligation:$(10 - 7) = 3$ (for the loss part)$(7 - (-5)) = 12$ (for the profit part)Ratio of quantities sold at $10 \%$ profit to $5 \%$ loss = $12 : 3 = 4 : 1$.Total quantity = $50 \text{ kg}$.Quantity sold at $10 \%$ profit = $\frac{4}{4+1} \times 50 = \frac{4}{5} \times 50 = 40 \text{ kg}$.Quantity sold at $5 \%$ loss = $\frac{1}{4+1} \times 50 = \frac{1}{5} \times 50 = 10 \text{ kg}$.

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

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$A$ trader has $50 \text{ kg}$ of rice,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 $\text{kg}$)

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

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Mixture and Alligation

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Mixture and Alligation

$A$ person has a chemical of ₹ $25$ per litre. In what ratio should water be mixed in that chemical,so that after selling the mixture at ₹ $20$ per litre,he may get a profit of $25 \%$?

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Two vessels $A$ and $B$ contain milk and water mixed in the ratio $8: 5$ and $5: 2,$ respectively. The ratio in which these two mixtures should be mixed to get a new mixture containing $69 \frac{3}{13} \%$ milk is

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$A$ 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?

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Haresh earned ₹ $4000$ per month. From the last month,his income increased by $8\%$. Due to a rise in prices,his expenditure also increased by $12\%$ and his savings decreased by $4\%$. Find his increased expenditure and initial savings.

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$A$ sum of $Rs. 41$ was divided among $50$ children. Each boy gets $90$ paise and each girl $65$ paise. The number of boys is?

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$A$ trader has $50 \text{ kg}$ of rice,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 $\text{kg}$)

Similar Questions

$A$ person has a chemical of ₹ $25$ per litre. In what ratio should water be mixed in that chemical,so that after selling the mixture at ₹ $20$ per litre,he may get a profit of $25 \%$?

Two vessels $A$ and $B$ contain milk and water mixed in the ratio $8: 5$ and $5: 2,$ respectively. The ratio in which these two mixtures should be mixed to get a new mixture containing $69 \frac{3}{13} \%$ milk is

$A$ 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?

Haresh earned ₹ $4000$ per month. From the last month,his income increased by $8\%$. Due to a rise in prices,his expenditure also increased by $12\%$ and his savings decreased by $4\%$. Find his increased expenditure and initial savings.

$A$ sum of $Rs. 41$ was divided among $50$ children. Each boy gets $90$ paise and each girl $65$ paise. The number of boys is?

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