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. On what sum of money will the difference between the compound interest and interest for 2 years be

equal to ₹ 25 if the rate of interest charged for both is 5% p.a.

Answer:

It is given that

Sum (P) = ₹ 100

Rate (R) = 5% p.a.

Period (n) = 2 years

We know that

SI = PRT/100

Substituting the values

= (100 × 5 × 2)/ 100

= ₹ 10

So the amount when interest is compounded annually = P (1 + R/100)

n

Substituting the values

\begin{aligned} &=100(1+5 / 100)^{2}\\ &\text { By further calculatio }\\ &=100 \times(21 / 20)^{2} \end{aligned}

So we get

= ₹ 441/4

Here

CI = A – P

Substituting the values

= 441/4 – 100

= ₹ 41/4

So the difference between CI and SI = 41/4 – 10 = ₹ ¼

If the difference is ₹ ¼ then sum = ₹ 100

If the difference is ₹ 25 then sum = (100 × 4)/ 1 × 25 = ₹ 10000

"hey kids welcome to lido q a video
i am vinit your leader tutor bringing
you this question on your screen
on what sum of money friends
between the compound interest and the
interest for two years
be equal to rupees 25
if the rate of interest charge
for both is five percent per annum
now the difference between the compound
interest and
interest for two years be equal to
25 so this means the difference between
the interest for the first year and the
second year is
25 percent so let us take an example to
understand this
let us say we you invest 10 000 rupees
on the first year again
the interest component is ten thousand
rupees
sorry thousand rupees and the principal
is again
ten thousand in the second year again
you get thousand rupees on this 10 000
and 100 rupees on this interest
right so these are the two components of
compound interest
interest on principle and interest on
interest now this difference of 100
rupees
between the interest of two consecutive
year is the interest on
the interest of the first year so we are
going to use the same concept here
right now
interest on
interest of first year
is equal to rupees
25 right
now interest on interest of first year
is rupees 25 so
interest of first year becomes our
principle
therefore
interest of
first year
will be the principle now simple
interest is equal to
p rt by 100
this implies 25 is equal to
p into 5 by 100
into 1 so this is 1 by 20.
so this implies p is equal to
500 so this is the interest on
first year now
interest of first year
is equal to rupees 500
therefore we can say 500 is equal to the
actual sum of money
into rate by 100 into 1.
so this implies p is equal to 500
into 100 by 5
so this will be equal to rupees 10 000
isn't it isn't it easy guys right
if you still have a doubt please leave a
comment below
do like the video and subscribe to our
channel
i'll see you in our next video until
then bye guys
keep learning keep flourishing and keep"

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