Question

in how much time will the simple interest on ₹3600 at the rate of 9% per annum be equal to the simple interest on ₹4500 at 10.8% per annum for four year​

Answer 1

ANSWER

Let the money lend by Ravi to Harsh at 4% simple interest be Rsx.

Therefore, money lend by Ravi to Harsh at 6%

simple interest be Rs(3600−x)

as total amount lend is Rs3600.

Now simple intrest at 4% for 5 years

Principal (P)= Rs x, rate(R)=4% and Time (T)=5

SI =

100

PRT

=x×4×

100

5

=

100

20x

Now simple interest at 6% for 5 years

Principal (P)= Rs (3600−x), rate (R)=6% and Time (T)=5

SI=

100

PRT

=(3600−x)×6×

100

5

=(3600−x)×

100

30

=

100

(108000−30x)

Given that, total simple interest received = Rs 960.

Therefore, 960=

100

20x

+

100

(108000−30x)

⇒960×100=20x+108000−30x

$$\Rightarrow 96000 = 108000 - 10x$$

⇒10x=108000−96000

⇒10x=12000

∴x=Rs1200

Money lend by Ravi on 4% interest rate is Rs1200.

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