## RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.2

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.2

**Other Exercises**

- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.1
- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.2
- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.3
- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.4
- RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.5

**Question 1.**

**Compute the amount and the compound interest in each of the following by using the formula when :**

**(i) Principal = Rs 3,000, Rate = 5%, Time = 2 years**

**(ii) Principal = Rs 3,000 Rate = 18%, Time = 2 years**

**(iii) Principal = Rs 5,000 Rate = 10 paise per rupee per annum, Time = 2 years**

**(iv) Principal = Rs 2,000, Rate = 4 paise per rupee per annum, Time = 3 years.**

**(v) Principal = Rs 12,800, Rate = 7\(\frac { 1 }{ 2 }\) %, Time = 3 years**

**(vi) Principal = Rs 10,000, Rate = 20% per annum compounded half-yearly, time = 2 years**

**(vii) Principal = Rs 1,60,000, Rate = 10 paise per rupee per annum compounded half- yearly, Time = 2 years.**

**Solution:**

(i) Principal (P) = Rs 3,000

Rate (R) = 5% p.a.

Time (n) = 2 years

and compound interest (C.I) = A – P = Rs 3307.50 – Rs 3,000 = Rs 307.50

(ii) Principal (P) = Rs 3,000

Rate (R) = 18% p.a.

Time (n) = 2 years

and compound interest (C.I.) = A – P = Rs 4177.20 – Rs 3,000 = Rs 1177.20

(iii) Principal (P) = Rs 5,000

Rate (R) =10 paise per rupee or 10% p.a.

Time (n) = 2 years.

C.I. = A – P = Rs 6,050 – Rs 5,000 = Rs 1,050

(iv) Principal (P) = Rs 2,000

Rate (R) = 4 paise per rupee or 4% p.a.

Time (n) = 3 years

C.I. = A – P = Rs 2249.73 – Rs 2,000 = Rs 249.73

(v) Principal (P) = Rs 12,800

C.I. = A – P = Rs 15901.40 – Rs 12,800 = Rs 3101.40

(vi) Principal (P) = Rs 10,000

Rate (R) = 20% p.a. or 10% half-yearly

Time = 2 years or 4 half-years

C.I. = A – P = Rs 14,641 – Rs 10,000 = Rs 4,641

(vii) Principal (P) = Rs 1,60,000

Rate (R) = 10 paise per rupee or 10% p.a. or 5% half-yearly

Time (n) = 2 years or 4 half-years.

C.I. = A – P = Rs 1,94,481 – Rs 1,60,000 = Rs 34,481

**Question 2.**

**Find the amount of Rs 2,400 after 3 years, when the interest is compounded annually at the rate of 20% per annum.**

**Solution:**

Principal (P) = Rs 2,400

Rate (R) = 20%

Time (n) = 3 years

**Question 3.**

**Rahman lent Rs 16,000 to Rasheed at the rate of 12\(\frac { 1 }{ 2 }\) % per annum compound interest. Find the amount payable by Rasheed to Rahman after 3 years.**

**Solution:**

Principal (P) = Rs 16,000

**Question 4.**

**Meera borrowed a sum of Rs 1,000 from Sita for two years. If the rate of interest is 10% compounded annually find the amount that Meera has to pay back.**

**Solution:**

Amount of loan (P) = Rs 1,000

Rate (R) = 10% p.a.

Period (n) = 2 years

**Question 5.**

**Find the difference between the compound interest and simple interest. On a sum of Rs 50,000 at 10% per annum for 2 years.**

**Solution:**

Principal (P) = Rs 50,000

Rate (R) = 10% p.a.

Period (n) = 2 years.

Difference between C.I. and S.I. = Rs 10,500 – Rs 10,000 = Rs 500

**Question 6.**

**Amit borrowed Rs 16,000 at 17\(\frac { 1 }{ 2 }\) % per annum simple interest on the same day, he lent it to Ashu at the same rate but compounded annually. What does he gain at the end of 2 years ?**

**Solution:**

Amount of loan (P) = Rs 16,000

C.I. = A – P = Rs 22,090 – Rs 16,000 = Rs 6,090

Now gain = C.I. – S.I = Rs 6,090 – 5,600 = Rs 490

**Question 7.**

**Find the amount of Rs 4,096 for 18 months at 12\(\frac { 1 }{ 2 }\) % per annum, interest being compounded semi-annually ?**

**Solution:**

Principal (P) = Rs 4,096

**Question 8.**

**Find the amount and the compound interest on Rs 8,000 for 1\(\frac { 1 }{ 2 }\) years at 10% per annum, compounded half-yearly.**

**Solution:**

Principal (P) = Rs 8,000

Rate (R) = 10% p.a. or 5% half yearly

and C.I. = A – P = Rs 9,261 – Rs 8,000 = Rs 1,261

**Question 9.**

**Kamal borrowed Rs 57,600 from LIC against her policy at 12\(\frac { 1 }{ 2 }\) % per annum to build a house. Find the amount that she pays LIC after 1\(\frac { 1 }{ 2 }\) years if the interest is calculated half-yearly.**

**Solution:**

Amount of loan (P) = Rs 57,600

**Question 10.**

**Abha purchased a house from Avas Parishad on credit. If the cost of the house is Rs 64,000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one year and a half.**

**Solution:**

Price of house (P) = Rs 64,000

Compound interest (C.I.) = A – P = Rs 68,921 – Rs 64,000 = Rs 4,921

**Question 11.**

**Rakesh lent out Rs 10,000 for 2 years at 20% per annum compounded annually. How much more he could earn if the interest be compounded half-yearly ?**

**Solution:**

Principal (P) = Rs 10,000

Rate (R) = 20% p.a. or 10% half-yearly

Period (n) = 2 years or 4 half-years

C.I. = Rs 14,400 – Rs 10,000 = Rs 4,400

Now difference in C.I. = Rs 4,641 – Rs 4,400 = Rs 241

**Question 12.**

**Romesh borrowed a sum of Rs 2,45,760 at 12.5% per annum compounded annually. On the same day, he lent out his money to Ramu at the same rate of interest but compounded semi-annually. Find his gain after 2 years.**

**Solution:**

In first case,

Principal (P) = Rs 2,45,760

C.I. = A – P = Rs 313203.75 – Rs 2,45,760 = Rs 67443.75

Gain = 67443.75 – Rs 65,280 = Rs2163.75

**Question 13.**

**Find the amount that David would receive if he invests Rs 8,192 for 18 months at 12\(\frac { 1 }{ 2 }\) % per annum, the interest being compounded half-yearly.**

**Solution:**

Principal (P) = Rs 8,192

**Question 14.**

**Find the compound interest on Rs 15,625 for 9 months at 16% per annum, compounded quarterly.**

**Solution:**

Principal (P) = Rs 15,625

Rate (R) = 16% p.a. or 4% quarterly

Period (n) = 9 months or 3 quarters

Compound interest = A – P = Rs 17,576 – Rs 15,625 = Rs 1,951

**Question 15.**

**Rekha deposited Rs 16,000 in a foreign bank which pays interest at the rate of 20% per annum compounded quarterly, find the interest received by Rekha after one year.**

**Solution:**

Principal (P) = Rs 16,000

Rate (R) = 20% p.a. or 5% quarterly

Period (n) = one year or 4 quarters

C.I. = A – P = Rs 19448.10 – Rs 16,000 = Rs 3448.10

**Question 16.**

**Find the amount of Rs 12,500 for 2 years compounded annually, the rate of interest being 15% for the first year and 16% for the second year.**

**Solution:**

Principal (P) = Rs 12,500

Rate (R1) = 15% p.a. for first year

R2 = 16% p.a. for second year

Period = 2 years

**Question 17.**

**Ramu borrowed Rs 15,625 from a finance company to buy a scooter. If the rate of interest be 16% per annum compounded annually, what payment he will have to make after 2\(\frac { 1 }{ 4 }\) years ?**

**Solution:**

Principal (P) = Rs 15,625

Rate (R) = 16%

**Question 18.**

**What will Rs 1,25,000 amount to at the rate of 6% if interest is calculated after every 4 months for one year ?**

**Solution:**

Principal (P) = Rs 1,25,000

**Question 19.**

**Find the compound interest at the rate of 5% for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 12,000 as simple interest.**

**Solution:**

In first case,

S.I. = Rs 12,000

Rate (R) = 5% p.a.

Period (T) = 3 years

= Rs 80,000

In second case,

Principal (P) = Rs 80,000

Rate (R) = 5% p.a.

Period (n) = 3 years

C.I. = A – P = Rs 92,610 – 80,000 = Rs 12,610

**Question 20.**

**A sum of money was lent for 2 years at 20% compounded annually. If the interest is payable half-yearly instead of yearly, then the interest is Rs 482 more. Find the sum.**

**Solution:**

Let Sum (P) = Rs x

Rate (R) = 20% p.a. or 10% half-yearly

Period (n) = 2 years or 4 half years

In first case,

Interests = A – P = Rs 146.41 – Rs 100 = Rs 46.41

Now difference in interests = Rs 46.41 – Rs 44.00 = Rs 2.41

If difference is 2.41 then sum is 100 If difference is Rs 482, then sum

**Question 21.**

**Simple interest on a sum of money for 2 years at 6\(\frac { 1 }{ 2 }\) % per annum is Rs 5,200. What will be the compound interest on the sum at the same rate for the same period ?**

**Solution:**

In first case,

S.I. = Rs 5,200

Compound interest = A – P = Rs 45,369 – Rs 40,000 = Rs 5,369

**Question 22.**

**Find the compound interest at the rate of 5% per annum for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 1,200 as simple interest.**

**Solution:**

In first case,

S.I. = Rs 1,200

Rate (R) = 5% p.a.

Period (T) = 3 years

In second case,

Principal (P) = Rs 8,000

Rate (R) = 5% p.a.

Period (n) = 3 years

= Rs 9,261

C.I. = A – P = Rs 9,261 – Rs 8000 = Rs 1,261

Hope given RD Sharma Class 8 Solutions Chapter 14 Compound Interest Ex 14.2 are helpful to complete your math homework.

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