(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

In what ratio should two varieties of tea,one costing ₹$25$ per $kg$ and the other costing ₹$30$ per $kg$,be blended to produce a blended variety of tea worth ₹$28$ per $kg$?

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In a $40 \, L$ mixture of milk and water,the ratio of milk to water is $7:1$. In order to make the ratio of milk and water $3:1$,the quantity of water (in $litres$) that should be added to the mixture will be:

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In an examination out of $480$ students,$85 \%$ of the girls and $70 \%$ of the boys passed. How many boys appeared in the examination if the total pass percentage was $75 \% ?$

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$A$ mixture contains $80 \%$ acid and the rest water. What part of the mixture should be removed and replaced by the same amount of water to make the ratio of acid to water $4:3$?

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Sourav purchased $30 \text{ kg}$ of rice at the rate of $₹ 10$ per $\text{kg}$ and $35 \text{ kg}$ at the rate of $₹ 11$ per $\text{kg}$. He mixed the two. At what price per $\text{kg}$ should he sell the mixture to make a $30\%$ profit in the transaction?

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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 ₹)

Similar Questions

In what ratio should two varieties of tea,one costing ₹$25$ per $kg$ and the other costing ₹$30$ per $kg$,be blended to produce a blended variety of tea worth ₹$28$ per $kg$?

In a $40 \, L$ mixture of milk and water,the ratio of milk to water is $7:1$. In order to make the ratio of milk and water $3:1$,the quantity of water (in $litres$) that should be added to the mixture will be:

In an examination out of $480$ students,$85 \%$ of the girls and $70 \%$ of the boys passed. How many boys appeared in the examination if the total pass percentage was $75 \% ?$

$A$ mixture contains $80 \%$ acid and the rest water. What part of the mixture should be removed and replaced by the same amount of water to make the ratio of acid to water $4:3$?

Sourav purchased $30 \text{ kg}$ of rice at the rate of $₹ 10$ per $\text{kg}$ and $35 \text{ kg}$ at the rate of $₹ 11$ per $\text{kg}$. He mixed the two. At what price per $\text{kg}$ should he sell the mixture to make a $30\%$ profit in the transaction?

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