Ravi lends Rs. $3600$ on simple interest to harsh for a period of $5$ years.He lends the part of the amount at $4 %$ interest and the rest at $6 %$ and receives Rs. $960$ as the amount of interest. how much money did he lend on $4 %$ interest rate?

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Solution

Let the money lend by Ravi to Harsh at $4 %$ simple interest be Rs $x$ .
Therefore, money lend by Ravi to Harsh at $6 %$
simple interest be Rs $(3600 - x)$
as total amount lend is Rs $3600$ .
Now simple intrest at $4 %$ for $5$ years
Principal $(P) =$ Rs $x$ , rate $(R) = 4 %$ and Time $(T) = 5$
SI $= \frac{P R T}{100}$
$= x \times 4 \times \frac{5}{100}$
$= \frac{20 x}{100}$
Now simple interest at $6 %$ for $5$ years
Principal $(P) =$ Rs $(3600 - x)$ , rate $(R) = 6 %$ and Time $(T) = 5$
SI $= \frac{P R T}{100} = (3600 - x) \times 6 \times \frac{5}{100} = (3600 - x) \times \frac{30}{100} = \frac{(108000 - 30 x)}{100}$
Given that, total simple interest received $=$ Rs $960$ .
Therefore, $960 = \frac{20 x}{100} + \frac{(108000 - 30 x)}{100}$
$\Rightarrow 960 \times 100 = 20 x + 108000 - 30 x$
$\Rightarrow 96000 = 108000 - 10 x$
$\Rightarrow 10 x = 108000 - 96000$
$\Rightarrow 10 x = 12000$
$∴ x = R s 1200$
Money lend by Ravi on $4 %$ interest rate is Rs $1200$ .

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Ravi lends Rs.3600 on simple interest to harsh for a period of 5 years.He lends the part of the amount at 4% interest and the rest at 6% and receives Rs.960 as the amount of interest. how much money did he lend on 4% interest rate?

Ravi lends Rs. $3600$ on simple interest to harsh for a period of $5$ years.He lends the part of the amount at $4 %$ interest and the rest at $6 %$ and receives Rs. $960$ as the amount of interest. how much money did he lend on $4 %$ interest rate?