This document contains questions related to compound interest and depreciation. It begins with definitions of compound interest and the compound interest formula. It then lists several word problems involving calculating compound interest over various time periods at different rates. Questions involve calculating simple vs compound interest, determining principal sums, interest earned on loans, and other financial calculations.

1. COMPOUND
INTEREST AND
DEPRECIATION
QUESTIONS
B Y : I N D R A
C H H E T R I

2. COMPOUND INTEREST

3. D E F I N A T I O N
O F
C O M P O U N D
I N T E R E S T

4. F O R M U L A

5. S O LV E
1. Sahin borrowed Rs 24000 from Everest bank for 3
yrs at the rate of 12.5%p.a.in simple interest. He
lent the money Helina in compound interest at the
same rate,how much does he will have profit after
3 yrs? Find.

6. Q U E S T I O N
A bank has fixed the rate of interest 10%per annum
semiannually compound interest in account A and 12%
per annum annually compound interest in account B. If
you are going to deposit RS 400000 for two years in
the same bank, in which account will you deposits and
why? Give your reason with calculation.

7. N E X T Q U E S T I O N
•By what percent the yearly compound
interest on RS10000 for 2 years 6 months at
rate of 10%per annum is more than the
simple interest on the same sum for same
time at the same rate.

8. Q U E S T I O N F O R Y O U
•Ram borrowed RS 150000 from Sita at the
rate of 21% per year. How much compound
interest should he have to pay in nine
months compounded half yearly.(Ans 24451.875)

9. N E X T Q U E S T I O N
•Find the difference between compound
interest compounded semi-annually and
simple interest on RS 8000 at 10%p.a. in
1 year 6 months.. (Ans RS 61)

10. N E X T
•The difference between compound
interest and simple interest of a certain
sum of money for 2 years at the rate of
interest 7%per annum is RS 1470. Find
the sum.(Ans 300000)

11. N E X T
•A sum of money is placed at simple interest for
3years at 10%per annum and then the amount is
invested for 2 years at the same rate at compound
interest. If the total amount of 5years becomes Rs
471,900 ,what was the sum ? (Rs 300000)

12. N E X T
•Prakash lent altogether Rs 6000 to Anima and
Elina for 2 years. Anima agree to pay simple
interest 10%per annum and Elina agrees to pay
compound interest at the rate of 8%p.a. If Elina
paid Rs 50 more than Anima as the interest, find
how much did he lent to each. (2588.43, 3411.57)

13. N E X T
•The compound amount of a certain sum of
money in 2 years and 3 years become Rs 8820
and Rs 9261respectively. Find the sum and rate
of interest.(Rs8000, 5%)

14. N E X T
•The compound interest of a sum of
money in 1 year and 2 year are Rs 450
and Rs 945 respectively. Find the rate of
interest compounded yearly and the
sum.(10%and Rs4500)

15. N E X T
•The compound interest on Rs 8000 at the
rate of 20% is Rs 5824. Find simple
interest of the same sum at the same rate
and the same time. (4800)

16. N E X T
•A sum of Rs 50000 amounts to Rs 75000
at a certain rate of simple interest in 5
years. Find the sum of money that
amounts to Rs 96800 at the same rate of
compound interest in 2 years.(Rs 80000)

17. N E X T
•The simple interest and compound
interest of a sum of money in 2 years
are Rs 1000 and Rs 1050 respectively.
Find the rate of interest and the
principal. (10% and Rs 5000)

18. Q U E S T I O N F O R T E S T
• A person took a loan of Rs46875. If the rate of the compound
interest is 4 paisa per rupee per year, in how many years will the
compound interest be Rs 5853.
• A man deposits Rs 50000 in the fixed account of
a bank which pays interest at the rate of 8%per
annum compounded annually. At the end of each year 5%of the
interest earned is deducted as government tax.
What sum of money is accumulated in his account after two
years.

19. Q U E S T I O N F O R T E S T
• 50 students in a class room like Nepali, History, or both subjects. Out of them, 20
like both subjects. If the ratio of the number of students who like Nepali and
History is 3:2, by using venn -diagram , find . (I )How many students like Nepali?
(ii ) how many like History only ?
• After allowing 25%of discount on the marked price and leaving 15% VAT, an article
was sold . If the discount is Rs 1000, find the selling price of the article including
VAT.
• A businessman exchanged Rs 8,40,000 into pound sterling at the
rate of pound 1= Rs 140. After one day, Nepali currency was
revaluated by 5%and he exchanged the pounds which he had into
Nepali currency again. What is his gain or loss ?

20. O T H E R Q U E S T I O N
• The compound interest on a certain sum for 2years at
10%per annum is 420. What would be the simple interest
on the same sum at the same rate for the same time.
• The difference between the annual and semi-
annual compound interest on a sum of money is Rs 482 at
the rate of 20%per annum for 2 years . Find
the simple interest of the sum at the same rate
and duration .

21. By : Indra
Chhetri