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- Chapter 1- Rational and Irrational Numbers
- Chapter 2- Compound Interest [Without Using Formula
- Chapter 3- Compound Interest [Using Formula
- Chapter 4- Expansions
- Chapter 5- Factorisation
- Chapter 6- Simultaneous Equations
- Chapter 7- Indices [exponents]
- Chapter 8- Logarithms
- Chapter 9- Triangles [Congruency in Triangles]
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- Chapter 13- Pythagoras Theorem
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- Chapter 15- Construction of Polygons
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- Chapter 19- Mean and Median
- Chapter 20- Area and Perimeter of Plane Figures
- Chapter 21- Solids
- Chapter 22- Trigonometrical Ratios
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- Chapter 24- Solution Of Right Triangles
- Chapter 25- Complementary angles
- Chapter 26- Co-ordinate Geometry
- Chapter 27- Graphical Solution
- Chapter 28- Distance Formula

Question 6 Exercise 2(C)

A man borrows Rs.10,000 at 10% compound interest compounded yearly.

At the end of each year, he pays back 30% of the sum borrowed. How much money is left unpaid just after the second year?

Answer:

For 1st year

P= Rs10,000; R=10% and T= 1year

Interest= Rs \frac{10,000 \times 10 \times 1}{100}=\mathrm{Rs} 1,000

Amount at the end of 1st year=Rs10,000+Rs1,000=Rs11,000

Money paid at the end of 1st year=30% of Rs10,000=Rs3,000

Principal for 2nd year=Rs11,000- Rs3,000=Rs8,000

For 2nd year

P=Rs8,000; R=10% and T= 1year

Interest= Rs \frac{8,000 \times 10 \times 1}{100}=\mathrm{Rs} 800

Amount at the end of 2nd year=Rs8,000+Rs800= Rs8,800

Money paid at the end of 2nd year=30% of Rs10,000= Rs3,000

Principal for 3rd year=Rs8,800- Rs3,000=Rs5,800 .

"hi i am shivani your math tutor from
lido
now we are having a question where we
need to find
the compound interest and tell that
how much money is left with him after
the second year so let's first
examine the question it is
a man borrows rupees 10 000 at
10 interest which is compounded
yearly and at the end of each year he
pays back 30 percent of what
the sum he borrowed which is rupees 10
000
so how much money is left unpaid just
after the second year
let's proceed to the solution first
we shall find the interest
for the first year it will be principal
into rate into time by 100
our principal is rupees 10 000
rate is 10 percent and time is one year
by 100
we get rupees 1000
so how much he paid
at the end of first year it will be
thirty percent of
ten thousand means he paid rupees
three thousand back now
what's left the principle it will be 11
000
minus 3000 equals to 8
000 this is the amount left with him to
be paid now the interest for the second
year
on this amount will be eight thousand
rate is same ten percent time is one
year
by hundred from here we get rupees
800 now
the amount becomes rupees 8000
plus rupees 800
equals to rupees 88 hundred
and what he did at the second year he
again paid a rupees 3000
back so the amount left
to be paid is
this rupees 8 800. minus
this rupees 3000
as he paid this back so the amount left
is rupees 58
100. this is the required solution
for more such videos subscribe to lido
and if you have any queries drop in the
comment section
thank you"

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