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RD Sharma Solutions Class 8 Mathematics Solutions for Compound Interest Exercise 14.2 in Chapter 14 - Compound Interest
Prev
Find the principal if the interest compounded annually at the rate of 10% for twoyears is Rs. 210.
Answer:
Given details are,
Rate = 10 % per annum
Compound Interest (CI) = Rs 210
Time (t) = 2 years
By using the formula,
Let P be ‘x’
CI = A – P
210 = P (1 + R/100) n – P
= P [(1 + R/100)n - 1]
= x [(1 + 10/100)2 – 1]
= x [(110/100)2 – 1]
210 = x ((1.1)2 – 1)
x = 210 / ((1.1)2 – 1)
= 210/0.21
= Rs 1000
∴ The required sum is Rs 1000
Video transcript
"hello students welcome to lido's
question and answer classroom
my name is shaisa firozi class and today
we are going to find out the principle
so let's focus at the question what the
question says
the question says find the principle so
as i told you you have to find out the
principle
or the sum if the interest compounded
annually at a rate of 10 percent so my
rate is 10 percent
for two years that is the time period is
two years
and since it says interest is rupees 210
so whatever details are given let's
quickly jot down it
so as you can see that my rate of
interest
is rupees sorry is 10 percent
and the time is
for two years
then my compound interest
is rupees 210
okay and i since i don't have the
principle i'll just suppose
let principle be x okay so i'm taking my
principle as x rupees this is what we
have to find out
so let's quickly write down the formula
for this
okay so let's say compound interest
since you know that our compound
interest
is equals to amount minus principle
okay because we have been given the
compound interest which is 210 rupees
i'm going to take compound interest is
equal to amount minus principle
now as you can see we don't have the
amount also with us
so we don't have amount we don't have
principle
we have compound interest so we are
going to take the amount formula in this
so that
amount goes out so let us take
the formula compound interest is 210
my amount formula which is t
1 plus r upon 100
raised to n minus p
okay now i am going to substitute the
values which
are given so my compound increase this
sorry my compound interest is 210 my
principal
i don't know i'm writing it as x because
i have supposed it as x
then 1 plus my rate of interest is 10
upon 100
my time period which is n is
two years minus prince one
okay so now i am going to solve the
bracket part so 210 is equal to
x now since once once more you have to
consider this this whole part you have
to take an lcm
and by taking lcm i am going to get
110 upon 100
raised to 2 minus 1
now i am going to take the square of
these
okay i am going to solve this bracket by
taking the square
so after solving this whole part of the
bracket
i am going to get 210 x
into 1.1 square
minus 1 so now i am going to take
x on one side and all other numbers on
one side by transposing it
so i'm get going to get 210
upon 1.1 square
raise to minus 1 once again i'm going to
take an lcm of this whole part
after solving 1.1 and taking an l same
with 1
i am going to get
x is equals to 210
upon 0.21
okay so since i got this now
what i am going to do is i am going to
divide this
and therefore i will get on division
of
on division of 210 upon 0.21
i am going to get my value as x is
rupees
1000
okay so my x is rupees thousand and what
is my x my
x is the principle so yes so therefore i
am going to write down
as my principle or you can say my sum
is nothing but equals to rupees
thousand so that's what my answer is all
guys that's all for today see you all
next time take care bye"
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