Application of Compound Interest (Increasing and Decreasing Rate)

Q. The value of a flat worth Rs 500000 is depreciating at the rate of $10\%$ per annum. In how many years will its value be reduced to Rs. 364500? [4 MARKS]

Q.

The population of a village is 20000. If the annual birth rate is $4\%$ and the annual death rate $2\%$, calculate the population after two years.

Q. The population of a village is 20000. If the annual birth rate is $4\%$ and the annual death rate $2\%$, calculate the population after two years. [4 MARKS]

Q.

Find the compound interest on $Rs.12600$ for $2$ years at $10\%$ per annum compounded annually.

1. $Rs.2500$
2. $Rs.2654$
3. $Rs.2646$
4. $Rs.2464$

Q.

The cost of car, purchased 2 years ago, depreciates at the rate of $20\%$ every year. If its present worth is ₹ 315600, find its purchase price.

1. ₹ 493, 125

2. ₹ 493, 175

3. ₹ 493, 525

4. ₹ 496, 725

Q. The population of Delhi is increasing at a rate of 4% per annum. If the current population of Delhi is 4500000, then the population after 3 years is

1. 50, 61, 888
2. 50, 60, 022
3. 50, 50, 000

Q. Find the amount and the compound interest on Rs 10000 at 5% per annum, for 2 years compounded annually.

Q.

The value of a flat worth Rs 500000 is depreciating at the rate of $10\%$ per annum. In how many years will its value be reduced to Rs. 364500?

1. 3

2. 5

3. 2

4. 4

Q.

Question 15

A sum is taken for two years at 16% per annum. If interest is compounded after every three months, the number of times for which interest is charged in 2 yrs is
(a) 8
(b) 4
(c) 6
(d) 9

Q. Find the amount on ₹12600 for 2 years at $10\%$ per annum compounded annually.

1. 15246
2. 12456
3. 12600
4. 15542

Q.

Calculate the amount on a sum of ₹2000 for one year at an interest rate of 12% per annum compounded every 2 months.

1. ₹2, 151.32

2. ₹2, 252.32

3. ₹2, 355.32

4. ₹2, 382.32

Q. Following are the car parking charges near a bus stand upto :
$$\begin{array}{cc}\text{2 hours}& \text{Rs.40}\\ \text{4 hours}& \text{Rs. 60}\\ \text{6 hours}& \text{Rs. 70}\\ \text{8 hours}& \text{Rs. 80}\\ \text{10 hours}& \text{Rs. 90}\end{array}$$
Check if the parking charges are in direct proportion to the parking time. [3 MARKS ]

Q.

A clock manufacturer decreases the price of a particular model by 6% each year. If the current price of the model is ₹ 4500, then what would be the price after 2 years?

1. ₹ 5, 026 (approx)

2. ₹ 5, 103 (approx)

3. ₹ 5, 093 (approx)

4. ₹ 4, 993 (approx)

Q.

The rate of increase in population is 25% per annum. What will be the population after 2 years if the initial population is 20, 000?

1. 32, 250

2. 31, 550

3. 32, 550

4. 31, 250

Q.

Find the compound interest on Rs 12600 for 2 years at $10\%$ per annum compounded annually. [2 MARKS]

Q.

The rate of increase in population is 20% per annum. What will be the population after 3 years if the initial population is 32, 000?

1. 55, 346

2. 55, 296

3. 55, 426

4. 55, 456

Q.

A scooter was bought at Rs. 42000 and its value depreciated at the rate of 8% per annum. Find its value after one year.

1. Rs38000

2. Rs48640

3. Rs48000

4. Rs38640

Q. A partnership firm earned net profit during the past three years as follows:

year ended	${31}^{st}$March, 2018	${31}^{st}$March, 2017	${31}^{st}$March, 2016
Net Profit(Rs.)	$2,30,000$	$2,00,000$	$1,70,000$

Capital investment in the firm throughout the above mentioned period has been Rs. $4,00,000$. Having regard to the risk involved, $15$ is considered to be return on the capital. The remuneration of the partners during this period estimated to be Rs. $1,00,000$p.a
Calculate value of goodwill on the basis of two years purchase of average super profit earned during the above mentioned three years.

Q.

The cost of a mobile phone, purchased 3 years ago, depreciates at the rate of 20% every year. If its present worth is ₹ 3000, find its purchase price.

1. ₹ 5, 889 (approx)

2. ₹ 5, 859 (approx)

3. ₹ 5, 919 (approx)

4. ₹ 5, 949 (approx)

Q.

The population of a place is 4, 000 in the year 1998. If the population of the same place is 16, 000 in the year 2000, then the rate of increase in the population is

1. 50%

2. 90%

3. 100%

4. 75%

Q. A scooter was bought at ₹ 42000. If the value of the scooter depreciates at the rate of 8% per annum. Its value after one year will be .

1. ₹ 48640
2. ₹ 48000
3. ₹ 38000
4. ₹ 38640

Q.

The population of a place increased to 26, 000 in the year 2001 at a rate of 4% per annum. Then the population in the year 2000 is

1. 23, 000

2. 24, 000

3. 25, 500

4. 25, 000

Q. At what principal amount the compound interest will become Rs. 1261 at 5% per annum after 3 years?

Q.

The cost of car, purchased 2 years ago, depreciates at the rate of $20\%$ every year. If its present worth is ₹3, 15, 600, find its purchase price.

1. ₹4, 93, 125

2. ₹4, 93, 175

3. ₹4, 93, 525

4. ₹4, 96, 725

Q. Saurabh invests Rs. 48, 000 for 7 year at 10% per annum compound interest. Calculate the interest for the third year.

1. Rs. 6, 411
2. Rs. 5, 808
3. Rs. 5, 269
4. Rs. 4, 922

Q.

If a two wheeler is purchased at ₹ 56250 and its value depreciates at the rate of 12% per annum, then its value after two years is

1. ₹ 43, 620

2. ₹ 43, 480

3. ₹ 43, 560

4. ₹ 43, 580

Q. I borrowed $Rs.12,000$ from Jamshed at $6\%$ per annum simple interest for $2$ years. If I borrowed this sum at $6\%$ per annum compound interest, what extra amount would I have to pay

Q. A man saves Rs. 3, 000 every year and invests it at the end of the year at 10% compound interest. Calculate the total amount of his savings at the end of the third year from the day he starts saving.

Q. $\text{Rs.}12,500$ lent at compound Interest for two years at $10\%$ per annum fetches $\text{Rs.}$ ____ more, if the interest was payable half yearly than if it was payable annually -

1. $0$
2. $\text{Rs.}10.48$
3. $\text{Rs.}38.50$
4. $\text{Rs.}68.82$

Q. Question 10 (i)
The population of a place increased to 54, 000 in 2003 at a rate of 5% per annum.
(i) Find the population in 2001.