A sum compounded annually becomes 729 512 times of itself in 3 years. Find the rate of interest per annum.

Let Principle be R s P and rate of Interest be = R % Given Amount = 729 512 P Time n = 3 years Hence Amount after 3 years 729 512 P = P 1 + R 100 3 ⇒ 729 512 = 1 + R 100 3 ⇒ 9 8 3 = 1 + R 100 3 ⇒ 1 + R 100 = 9 8 ⇒ R 100 = 9 8 - 1 = 1 8 ⇒ R 100 = 1 8 ⇒ R = 100 8 = 12 . 5 % Hence rate of interest is 12 . 5 % per annum

E M B I B E

START UP MATHEMATICS>Chapter 13 - Compound Interest>REVIEW EXERCISES>Q 1

EASY

8th CBSE

IMPORTANT

Earn 100

Sunil deposited $₹ 12, 000$ with a finance company at the rate of $9.5 %$ per annum compounded annually for $2$ years. Calculate the interest received by him after $2$ years.

Important Questions on Compound Interest

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 13 - Compound Interest>REVIEW EXERCISES>Q 2

Devesh gave Manav

₹ 1, 250

on compound interest for

2

years at the rate of

12 %

per annum. How much less would Devesh have got had he given the money to Manav for

2

years on simple interest at the rate of

4 %

per annum?

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 13 - Compound Interest>REVIEW EXERCISES>Q 3

Pratap borrowed

₹ 10, 000

from a bank at the rate of

10 %

per annum simple interest and lent it to Gaurav at the rate of

10 %

per annum compound interest. What will be his gain after

3

years?

EASY

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 13 - Compound Interest>REVIEW EXERCISES>Q 4

A sum compounded annually becomes

\frac{729}{512}

times of itself in

3

years. Find the rate of interest per annum.

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 13 - Compound Interest>REVIEW EXERCISES>Q 5

Kusum and Ravi borrowed

₹ 80, 000

and

₹ 60, 000

respectively for a period of

3

years. Kusum paid simple interest at the rate of

20 %

per annum, while Ravi paid compound interest at the rate of

20 %

per annum compounded annually. Who paid more interest and by how much?

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 13 - Compound Interest>REVIEW EXERCISES>Q 6

The difference between the simple interest and the compound interest on a certain sum for

2

years at the rate of

10 %

is

₹ 50

. Find the principal.

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 13 - Compound Interest>REVIEW EXERCISES>Q 7

In how many years will a sum of

₹ 30, 000

amount to

₹ 31, 827

at the rate of

6 %

per annum compounded semi-annually?

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 13 - Compound Interest>REVIEW EXERCISES>Q 8

A library had

8, 000

registered members. The membership increased at the rate of

5 %

every six months. After what time will the total membership be

9, 261

?

MEDIUM

8th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 13 - Compound Interest>THINKING SKILLS>Q 1

A sum of money amounts to $₹ 1, 210$ in $2$ years and to $₹ 1, 610.51$ in $5$ years. Find the principal and the rate of interest when interest is compounded annually.