(D) Using the method of alligation:Let the amount lent to Ajay be $x$ and to Ramesh be $y$.The interest rates are $20 \%$ and $12 \%$,and the overall

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(D) Using the method of alligation:Let the amount lent to Ajay be $x$ and to Ramesh be $y$.The interest rates are $20 \%$ and $12 \%$,and the overall interest rate is $17 \%$.By alligation:Ajay's rate: $20 \%$Ramesh's rate: $12 \%$Mean rate: $17 \%$Difference for Ajay: $|17 - 12| = 5$Difference for Ramesh: $|17 - 20| = 3$The ratio of the amounts lent to Ajay and Ramesh is $5: 3$.Total capital = ₹ $300000$.Amount lent to Ajay = $\frac{5}{5+3} \times 300000 = \frac{5}{8} \times 300000 = 5 \times 37500 = ₹ 187500$.

Competitive Quantitative Aptitude Mixture and Alligation Mixture and Alligation

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$A$ man has given ₹ $300000$ as a loan. He lent some of his capital to Ajay at an interest rate of $20 \%$ per annum and the rest to Ramesh at an interest rate of $12 \%$ per annum. At the end of one year,he received $17 \%$ of his total capital as interest. How much did he lend to Ajay? (in ₹)

A
$120000$
B
$140000$
C
$160000$
D
$187500$

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Mixture and Alligation

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Mixture and Alligation

$A$ $20\, \text{litre}$ mixture of milk and water contains milk and water in the ratio $3:2$. $10\, \text{litres}$ of the mixture is removed and replaced with pure milk,and the operation is repeated once more. At the end of the two removals and replacements,what is the ratio of milk and water in the resultant mixture?

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$8$ litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in the cask to that of the water is $16$:$65$. How much wine did the cask hold originally? (in litres)

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$A$ mixture of milk and water measures $60 \, ltr$. It contains $20 \%$ water. How many litres of water should be added to it so that water may be $25 \% $ (in $ltr$)?

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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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Aditya and Sanjay started a business investing $45000$ and $30000$ respectively. What will be the ratio between their profit?

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$A$ man has given ₹ $300000$ as a loan. He lent some of his capital to Ajay at an interest rate of $20 \%$ per annum and the rest to Ramesh at an interest rate of $12 \%$ per annum. At the end of one year,he received $17 \%$ of his total capital as interest. How much did he lend to Ajay? (in ₹)

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$8$ litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in the cask to that of the water is $16$:$65$. How much wine did the cask hold originally? (in litres)

$A$ mixture of milk and water measures $60 \, ltr$. It contains $20 \%$ water. How many litres of water should be added to it so that water may be $25 \% $ (in $ltr$)?

$A$ 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......$L$.

Aditya and Sanjay started a business investing $45000$ and $30000$ respectively. What will be the ratio between their profit?

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