## RS Aggarwal Class 8 Solutions Chapter 11 Compound Interest Ex 11D

These Solutions are part of RS Aggarwal Solutions Class 8. Here we have given RS Aggarwal Solutions Class 8 Chapter 11 Compound Interest Ex 11D.

**Other Exercises**

- RS Aggarwal Solutions Class 8 Chapter 11 Compound Interest Ex 11A
- RS Aggarwal Solutions Class 8 Chapter 11 Compound Interest Ex 11B
- RS Aggarwal Solutions Class 8 Chapter 11 Compound Interest Ex 11C
- RS Aggarwal Solutions Class 8 Chapter 11 Compound Interest Ex 11D

**Tick the correct answer in each of the following**

**Question 1.**

**The compound interest on Rs. 5000 at 8% per annum for 2 years, compounded annually, is**

**(a) Rs. 800**

**(b) Rs. 825**

**(c) Rs. 832**

**(d) Rs. 850**

**Solution:**

Principal (P) = Rs. 5000

Rate (R) = 8% p.a.

Period (n) = 2 years

**Question 2.**

**The compound interest on Rs. 10000 at 10% per annum for 3 years, compound annually, is**

**(a) Rs. 1331**

**(b) Rs. 3310**

**(c) Rs. 3130**

**(d) Rs. 13310**

**Solution:**

Principal (P) = Rs. 10000

Rate (R) = 10% p.a.

Period (n) = 3 years

**Question 3.**

**The compound interest on Rs. 10000 at 12% per annum for \(1\frac { 1 }{ 2 } \) years, compounded annually, is**

**(a)Rs. 1872**

**(b) Rs. 1720**

**(c) Rs. 1910.16**

**(d) Rs. 1782**

**Solution:**

Principal (P) = Rs. 10000

Rate (R) = 12% p.a.

**Question 4.**

**The compound interest on Rs. 4000 at 10% per annum for 2 years 3 months, compounded annually, is**

**(a) Rs. 916**

**(b) Rs. 900**

**(c) Rs. 961**

**(d) Rs. 896**

**Solution:**

Principal (P) = Rs. 4000

Rate (R) = 10% p.a.

Period (a) = 2 years 3 months

**Question 5.**

**A sum of Rs. 25000 was given as loan on compound interest for 3 years compounded annually at 5% per annum during the first year, 6% per annum during the second year and 8% per annum during the third year. The compound interest is**

**(a) Rs. 5035**

**(b) Rs. 5051**

**(c) Rs. 5072**

**(d) Rs. 5150**

**Solution:**

Principal (P) = Rs. 25000

Rate (R1) = 5% for the first year

R2 = 6% for the second year

R3 = 8% for the third year

**Question 6.**

**The compound interest on Rs. 6250 at 8% per annum for 1 year, compounded half yearly, is**

**(a) Rs. 500**

**(b) Rs. 510**

**(c) Rs. 550**

**(d) Rs. 512.50**

**Solution:**

Principal (P) = Rs. 6250

Rate (R) = 8% p.a. or 4% half yearly

Period (n) = 1 year or 2 half years

**Question 7.**

**The compound interest on Rs. 40000 at 6% per annum for 6 months, compounded quarterly, is**

**(a) Rs. 1209**

**(b) Rs. 1902**

**(c) Rs. 1200**

**(d) Rs. 1306**

**Solution:**

Principal (P) = Rs. 40000

Rate (R) = 6% p.a. \(\\ \frac { 6 }{ 4 } \) = \(\\ \frac { 3 }{ 2 } \) % quarterly

Period (n) = 6 months = 2 quarters

**Question 8.**

**The present population of a town is 24000. If it increases at the rate of 5% per annum, what will be its population after 2 years ?**

**(a) 26400**

**(b) 26460**

**(c) 24460**

**(d) 26640**

**Solution:**

Present population (P) = 24000

Rate of increase (R) = 5% p.a.

Period (n) = 2 years

**Question 9.**

**The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago for Rs. 60000. What is the present value of the machine?**

**(a) Rs. 53640**

**(b) Rs. 51680**

**(c) Rs. 43740**

**(d) Rs. 43470**

**Solution:**

3 years ago, the value of machine = Rs. 60000

Rate of depreciation (R) = 10%

Period (n) = 3 years

**Question 10.**

**The value of a machine depreciates at the rate of 20% per annum. It was purchased 2 years ago. If its present value is Rs. 40000, for how much was it purchased ?**

**(a) Rs. 56000**

**(b) Rs. 62500**

**(c) Rs. 65200**

**(d) Rs. 56500**

**Solution:**

Present value = Rs. 40000

Rate of depreciation (R) = 20% p.a.

Value of machine 2 years ago

**Question 11.**

**The annual rate of growth in population of a town is 10%. If its present population is 33275, what was it 3 years ago ?**

**(a) 25000**

**(b) 27500**

**(c) 30000**

**(d) 26000**

**Solution:**

Rate of growth in population (R) = 10%

Present population = 33275

Population 3 years ago = A

**Question 12.**

**If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200 then the compound interest on the same for the same period at the same rate will be**

**(a) Rs. 1225**

**(b) Rs. 1236**

**(c) Rs. 1248**

**(d) Rs. 1261**

**Solution:**

S.I. = Rs. 1200

Rate (R) = 5%

Period (T) = 3 years

**Question 13.**

**If the compound interest on a sum for 2 years at \(12\frac { 1 }{ 2 } \) % per annum is Rs. 510, the simple interest on the same sum at the same rate for the same period of time is**

**(a) Rs. 400**

**(b) Rs. 450**

**(c) Rs. 460**

**(d) Rs. 480**

**Solution:**

C.I. on a sum = Rs. 510

Rate (R) = \(12\frac { 1 }{ 2 } \) % = \(\\ \frac { 25 }{ 2 } \) % p.a.

Period (n) = 2 years

**Question 14.**

**The sum that amounts to Rs. 4913 in 3 years at \(6\frac { 1 }{ 4 } \)% per annum compounded annually, is**

**(a) Rs. 3096**

**(b) Rs. 4076**

**(c) Rs. 4085**

**(d) Rs. 4096**

**Solution:**

Amount = Rs. 4913

Rate (R) = \(6\frac { 1 }{ 4 } \) = \(\\ \frac { 25 }{ 4 } \) %

Period (n) = 3 years

**Question 15.**

**At what rate per cent per annum will a sum of Rs. 7500 amount to Rs. 8427 in 2 years, compounded annually ?**

**(a) 4%**

**(b) 5%**

**(c) 6%**

**(d) 8%**

**Solution:**

Sum (P) = Rs. 7500

Amount (A) = 8427

Period = 2 years

Let R be the rate of p.a., then

Hope given RS Aggarwal Solutions Class 8 Chapter 11 Compound Interest Ex 11D are helpful to complete your math homework.

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Aditya says

You should add test paper of book also